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question_answer1) A diamagnetic material in a magnetic field moves
A)
from stronger to weaker parts of the field
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B)
perpendicular to the field
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C)
from weaker to stronger parts of the field
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D)
None of the above
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question_answer2) A source and a listener are both moving towards each other with speed \[1.11f\], where v is the speed of sound. If the frequency of the note emitted by the source is \[1.22f\], the frequency heard by the listener would be nearly
A)
f
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B)
\[1.27f\]
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C)
\[\text{1}.0\text{1}\times \text{1}{{0}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}}\]
done
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D)
\[\text{9}.\text{13}\times \text{1}{{0}^{\text{4}}}\text{ N}/{{\text{m}}^{\text{2}}}\]
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question_answer3) A 5g droplet of liquid nitrogen is enclosed in a 50mL tube which is sealed at very low ressure. When the tube is warmed to 35°C, the nitrogen pressure in the tube is (molecular weight of nitrogen = 28, R = 8.3 J/mol K)
A)
\[\text{9}.\text{13}\times \text{1}{{0}^{\text{3}}}\text{N}/{{\text{m}}^{\text{2}}}\]
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B)
\[\text{18}.\text{26 N}/{{\text{m}}^{\text{2}}}\]
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C)
\[\text{2}.\text{25}\times \text{1}{{0}^{\text{3}}}\text{min}\]
done
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D)
\[\text{3}.\text{97}\times \text{1}{{0}^{\text{3}}}\text{min}\]
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question_answer4) A chef, on finding his stove out of order, decides to boil the water for his wife's coeffe by shaking it in a thermos flask. Suppose, that he uses tap water at 15°C and chef making 30 shakes each minute. Neglecting any loss of thermal energy by the flask, how long must he shake the flask until the water reaches 100°C?
A)
\[9.13\times {{10}^{3}}N/{{m}^{2}}\]
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B)
\[\text{5}.\text{25}\times \text{1}{{0}^{\text{3}}}\text{min}\]
done
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C)
\[\left[ \text{FL}{{\text{T}}^{-\text{2}}} \right]\]
done
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D)
\[\left[ \text{F}{{\text{L}}^{\text{2}}}{{T}^{-\text{2}}} \right]\]
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question_answer5) If force (F), length (L) and time (T) be considered fundamental units, then units of mass will be
A)
\[\left[ \text{F}{{\text{L}}^{-\text{1}}}{{\text{T}}^{\text{2}}} \right]\]
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B)
\[\left[ {{\text{F}}^{2}}\text{L}{{\text{T}}^{\text{-2}}} \right]\]
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C)
\[-\text{273}.\text{15}{}^\circ \text{F}\]
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D)
\[-\text{453}.\text{15}{}^\circ \text{F}\]
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question_answer6) If absolute zero is -273.15°C on Celsius temperature scale, then the absolute zero on the fahrenheit scale is
A)
\[-\text{459}.\text{67}{}^\circ \text{F}\]
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B)
\[-\text{491}.\text{67}{}^\circ \text{F}\]
done
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C)
\[\text{52}00\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\]
done
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D)
\[\text{Vc}=\text{1}.\text{5V}\]
done
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question_answer7) What should be the velocity of an electron so that its momentum, becomes equal to that of a photon of wavelength\[\text{1}00\text{ }\mu \text{A}\]?
A)
700 m/s
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B)
1000m/s
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C)
1400 m/s
done
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D)
2800 m/s
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question_answer8) A transistor is operated in common emitter configuration at constant collector voltage \[\text{15}0\text{ }\mu \text{A}\]such that a change in the base current from \[\text{5 mA}\]to\[\text{10 mA}\]. Produces a change in the collector current from \[\text{ }\!\!\beta\!\!\text{ }\]to \[\left( \frac{1}{V(volume)} \right)\]. The current gain (\[\frac{3}{4}\text{m}/\text{s}\]) is
A)
67
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B)
75
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C)
100
done
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D)
50
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question_answer9) The graph of pressure p and \[\frac{1}{3}\text{m}/\text{s}\] of1 mole of an ideal at constant temperature is
A)
done
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B)
.
C)
done
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D)
done
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question_answer10) Gas exerts pressure on the walls of the container, because
A)
gas has weight
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B)
gas molecules have momentum
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C)
gas molecules collide with each other
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D)
gas molecules collide with the wails of the container
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question_answer11) An astronaut is approching the moon. He sends out a radio signal of frequency 5000 MHz and the frequency of echo is different from that of the original frequency by 100 kHz. His velocity of approach with respect to the moon is
A)
2km/s
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B)
3 km/s
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C)
4 km/s
done
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D)
5 km/s
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question_answer12) A 10 kg ball moving with velocity 2 m/s collides with a 20 kg mass initially at rest. If both of them coalesce, the final velocity of combined mass is
A)
\[\frac{3}{2}\text{m}/\text{s}\]
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B)
\[\frac{2}{3}\text{m}/\text{s}\]
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C)
\[{{\lambda }_{0}},\]
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D)
\[\frac{25}{16}{{\lambda }_{0}}\]
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question_answer13) The wavelength of radiation emitted is \[\frac{27}{20}{{\lambda }_{0}}\] when an electron in hydrogen atom jumps from 3rd to 2nd orbit. If in the hydrogen atom itself, the electron jumps from fourth orbit to second orbit, then wavelength of emitted radiation will be
A)
\[\frac{20}{27}{{\lambda }_{0}}\]
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B)
\[\frac{16}{25}{{\lambda }_{0}}\]
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C)
\[3\Omega \]
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D)
\[4\Omega \]
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question_answer14)
Seven resistances are connected as shown in the figure. The equivalent resistance between A and B is 
A)
\[4.5\Omega \]
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B)
\[5\Omega \]
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C)
\[\frac{\sqrt{3}}{1}\]
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D)
\[\frac{(\sqrt{3}+1)}{(\sqrt{3}-1)}\]
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question_answer15) Two tangent galvanometer having coils of same radius are connected in series. A current flowing in them produces deflections of 60° and 45° respectively. Ratio of number of turns in the coils is
A)
\[\frac{(\sqrt{3}+1)}{1}\]
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B)
\[\frac{4}{3}\]
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C)
\[4\mu F\]
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D)
\[10\mu F\]
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question_answer16)
Equivalent capacitor of the given combination of five capacitors is 
A)
\[8\mu F\]
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B)
\[120\mu F\]
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C)
\[\omega \]
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D)
\[R/2\]
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question_answer17) A disc having mass M and radius R is rotating with angular velocity \[\frac{4\omega }{5}\], another disc of mass 2M and radius \[\frac{2\omega }{5}\] is placed coaxially on the ' first disc gently. The angular velocity of the system will be
A)
\[\frac{3\omega }{5}\]
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B)
\[\frac{2\omega }{3}\]
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C)
\[\mu =\frac{3}{2}\]
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D)
\[\mu =\frac{4}{3}\]
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question_answer18) Light is refracted \[{{\sin }^{-1}}\left( \frac{9}{8} \right)\]to water \[{{45}^{o}}\] for total internal reflection sin i will be equal to
A)
\[{{60}^{o}}\]
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B)
\[{{\sin }^{-1}}\left( \frac{8}{9} \right)\]
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C)
\[\beta =0.\text{1}\]
done
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D)
\[{{P}_{1}}\]
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question_answer19) The voltage of an amplifier without feedback is 100 V. If a negative feedback is introduced, with a feedback fraction\[{{P}_{2}}\], then the gain of the feedback amplifier is
A)
90
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B)
100.1
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C)
10
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D)
9.0
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question_answer20) An organ pipe \[{{P}_{1}}\] closed at one end vibrating in its first overtone and other pipe \[{{P}_{2}}\] open at both ends, vibrating in its third overtone are in resonance with a given tuning forks, then ratio of length of \[\text{2}\times \text{1}{{0}^{\text{7}}}\text{m}/\text{s}\] and \[\text{2}\times \text{1}{{0}^{-2}}T\] will be
A)
3: 8
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B)
3:4
done
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C)
3:2
done
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D)
3: 1
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question_answer21) An electron moving with velocity \[\left( \frac{e}{m} \right)\] describes a circle in a magnetic field of strength\[\text{1}.\text{76}\times \text{1}{{0}^{\text{11}}}\text{C}/\text{kg}\]. If \[2B\]of electron is\[\frac{B}{4}\], then the diameter of the circle is nearly
A)
1.1 cm
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B)
1.1 mm
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C)
1.1 m
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D)
11 cm
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question_answer22) A solenoid of 30 cm long is made by winding 2000 loops of wire on an iron rod whose 1 cross-section is 1.5 \[c{{m}^{2}}.\]. If the relative permeability of the iron is 6000, what is the self-inductance of the solenoid?
A)
1.5H
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B)
2.5H
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C)
3.5H
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D)
0.5H
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question_answer23) An electric current passes through a long straight wire. At a distance 5 cm from the wire, the magnetic field is B. The field at 20 cm from the wire would be
A)
\[\frac{B}{2}\]
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B)
\[y=A\sin (Bx+Ct+D)\]
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C)
\[[{{m}^{0}}{{L}^{-1}}{{T}^{0}}]\]
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D)
B
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question_answer24) Suitable impurities are added to a semiconductor depending on its use. This is done to
A)
increase its life
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B)
enable it to withstand high voltage
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C)
increases its electrical conductivity
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D)
increases its electrical resistivity
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question_answer25) Given that the displacement of an oscillating particle is given by\[[{{m}^{0}}{{L}^{0}}{{T}^{-1}}]\]. The dimensional formula for (ABCD) is
A)
\[[{{m}^{0}}{{L}^{-1}}{{T}^{-2}}]\]
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B)
\[[{{m}^{0}}{{L}^{0}}{{T}^{0}}]\]
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C)
\[1.5\mu \]
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D)
\[\mu \]
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question_answer26) A vessel is half-filled with a liquid of refractive index \[\mu \]. The other half of the vessel is filled with an immiscible liquid of refractive index. \[W\] The apparent depth of the vessel is 50% of the actual depth, then \[\frac{4W}{3}\] is
A)
1.4
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B)
1.5
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C)
1.6
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D)
1.67
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question_answer27) The work done in increasing the voltage across the plates of a capacitor from 5V to 10V is W. The work done in increasing the voltage from 10V to 15 V will be
A)
\[\frac{5W}{2}\]
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B)
\[\frac{\pi }{2}\]
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C)
\[\sigma =\text{5}.\text{67}\times \text{1}{{0}^{-\text{8}}}\text{W}-{{\text{m}}^{\text{2}}}{{\text{K}}^{\text{-4}}}\]
done
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D)
2W
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question_answer28) A copper ring is held horizontally and a bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet is
A)
equal to that due to gravity
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B)
less than that due to gravity
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C)
more than that due to gravity
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D)
None of the above
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question_answer29) A particle is executing two different simple harmonic motions, mutually perpendicular of different amplitudes and having phase difference of \[y=5\sin \frac{\pi x}{3}\cos 40\pi t\]. The path of the particle will be 4U
A)
circular
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B)
straight line
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C)
parabolic
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D)
elliptical
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question_answer30) A source is moving towards an observer with a speed of 20 m/s and having frequency of 240 Hz. The observer now moving towards the source with a speed of 20 m/s. Apparent frequency heard by the observer is (velocity of sound = 340 m/s)
A)
270 Hz
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B)
540 Hz
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C)
135 Hz
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D)
370 Hz
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question_answer31) A thin square plate with each side equal to 10 cm, is heated by a blacksmith. The rate of radiated energy by the heated plate is 1134 W. The temperature of hot square plate is (Stefan's constant\[t\], emissivity of plate =1)
A)
1000 K
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B)
1989 K
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C)
2000 K
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D)
2378 K
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question_answer32) The equation of stationary wave along a stretched string is given by \[{{(Kg)}^{1/2}}\], where x and y are in cm and \[{{(Kg)}^{-1/2}}\]in second. The separation between two adjacent nodes is
A)
1.5 cm
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B)
3 cm
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C)
6 cm
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D)
4 cm
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question_answer33) There are two planets and the ratio of radius of the two planets is k but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity?
A)
\[{{(Kg)}^{2}}\]
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B)
\[{{(Kg)}^{-2}}\]
done
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C)
\[\frac{pV}{nT}\]
done
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D)
\[\frac{pV}{nT}\frac{pV}{nT}\upsilon ersus\]
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question_answer34)
The figure below shows the plot of \[{{T}_{1}}>{{T}_{2}}\]\[\frac{pV}{nT}\]p for oxygen gas at two different temperatures. 
Read the following statements concerning the above curves. (i) The dotted line corresponds to the ideal gas behavior . (ii) \[4\times {{10}^{3}}A{{m}^{-1}}\] (iii)The value of \[\text{1}{{0}^{-\text{2}}}\] at the point, where the curves meet on the y-axis is the same for all edges. Which of the above statement is true?
A)
Only (i)
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B)
(i) and (ii)
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C)
(i), (ii) and (iii)
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D)
None of these
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question_answer35) A bar magnet has a coercivity \[\text{1}{{0}^{-3}}\]. It is desired to demagnetise it by inserting it inside a solenoid 12 cm long and having 60 turns. The current carried by solenoid should be
A)
8 A
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B)
6 A
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C)
4.5A
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D)
2 A
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question_answer36) A Carnot engine has efficiency 1/5. Efficiency becomes 1/3 when temperature of sink is decreased by 50 K. What is the temperature of sink?
A)
325 K
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B)
375 K
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C)
300 K
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D)
380 K
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question_answer37)
Following diagram performs the logic function 
A)
OR gate
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B)
AND gate
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C)
XOR gate
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D)
NAND gate
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question_answer38) Parsec is the unit of
A)
time
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B)
distance
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C)
frequency
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D)
angular acceleration
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question_answer39) A bread gives a boy of mass 40 kg an energy of 21 kJ. If the efficiency is 28%, then the height can be climbed by him using this energy
A)
2.25 m
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B)
15 m
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C)
10 m
done
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D)
5m
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question_answer40) If the radius of a coil is changing at the rate of \[1\mu V\]units in a normal magnetic field \[\text{1}.\text{96}\times \text{1}{{0}^{-\text{8}}}\text{ m}/\text{s}\] units, the induced emf is \[\text{2}.\text{12}\times \text{1}{{0}^{\text{8}}}\text{ m}/\text{s}\]. What is the final radius of the coil?
A)
1.6 cm
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B)
16 cm
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C)
12 cm
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D)
1.2 cm
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question_answer41) A ray of light is incident on the surface of 47 separation of a medium with the velocity of light at an angle 45° and is refracted in the medium at an angle 30°. What will be the velocity of light in the medium?
A)
\[\text{3}.\text{18}\times \text{1}{{0}^{8}}m/s\]
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B)
\[\text{3}.\text{33}\times {{10}^{\text{8}}}\text{ m}/\text{s}\]
done
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C)
\[\theta =\text{45}{}^\circ \]
done
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D)
\[\frac{1}{3}M{{L}^{2}}\]
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question_answer42) A spot of lights rotates in a horizontal plane with a constant angular velocity of 0.1rad/s. The spot of light P moves along the wall at a distance of 3 m from S. The velocity of spot P, where, \[\frac{3}{2}M{{L}^{2}}\]is
A)
0.5 m/s
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B)
0.6 m/s
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C)
0.7 m/s
done
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D)
0.8 m/s
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question_answer43) Three point masses, each of mass M are placed at the corners of an equilateral triangle of side L. The moment of inertia of the system about an axis along one side of the triangle is
A)
\[\frac{3}{4}M{{L}^{2}}\]
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B)
\[M{{L}^{2}}\]
done
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C)
\[{{R}_{1}}\]
done
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D)
\[{{R}_{2}}\]
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question_answer44) Two conducting spheres of radii \[{{Q}_{1}}\] and \[{{Q}_{2}}\]. are charged with charges \[{{Q}_{1}}{{R}_{2}}\ne {{Q}_{2}}{{R}_{1}}\] and\[{{Q}_{1}}{{R}_{2}}={{Q}_{2}}{{R}_{1}}\] respectively. On bringing them in contact, there is
A)
no change in the energy of the system
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B)
an increase in the energy of the system, if \[s=\frac{{{t}^{2}}}{4}\]
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C)
always a decrease in the energy of the system
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D)
a decrease in the energy of the system, if \[T\propto V\]
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question_answer45) A body of mass 6 kg is under a force which causes displacement in it given by\[T\propto {{V}^{2}}\]where t is time. The work done by the force in 2s is
A)
12 J
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B)
9 J
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C)
6 J
done
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D)
3 J
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question_answer46) Which of the following statements is/are true?
A)
A clock when taken on a mountain can be made to give correct time, if we change the length of pendulum suitably
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B)
An increase in value of g makes a clock to slow
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C)
If the length of a pendulum is increased the clock becomes fast
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D)
A clock when taken to a top mine or carried to the top of mountain become slow
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question_answer47) In case of a forced vibration, the resonance wave becomes very sharp, when the
A)
applied periodic force is small
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B)
quality factor is small
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C)
damping force is small
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D)
restoring force is small
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question_answer48) The difference in length of a mean solar day and a sideral day is about
A)
1 min
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B)
4 min
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C)
15 min
done
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D)
56 min
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question_answer49) If the size of aperture is decreased
A)
intensity of image is decreased
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B)
no effect in formation of image
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C)
any of the above
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D)
None of the above
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question_answer50) If T is the reverberation time of an auditorium of volume V then
A)
\[T\propto \frac{1}{{{V}^{2}}}\]
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B)
\[T\propto \frac{1}{V}\]
done
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C)
\[\text{6}\times \text{1}{{0}^{-\text{7}}}\text{A}-{{\text{m}}^{\text{2}}}\]
done
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D)
\[\text{5 g}/\text{c}{{\text{m}}^{\text{3}}}\]
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question_answer51) The magnetic moment produced in a substance of 1 g is\[\text{8}\text{.3}\times \text{1}{{0}^{\text{6}}}\]. If its density is\[\text{1}.\text{2}\times \text{1}{{0}^{-\text{7}}}\], then the intensity of magnetisation in A/m will be
A)
\[\text{3}\times \text{1}{{0}^{-\text{6}}}\]
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B)
3.0
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C)
\[CaC{{l}_{2}}\]
done
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D)
\[\text{MgS}{{\text{O}}_{\text{4}}}\]
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question_answer52) A point P lies on the axis of a ring of mass M and radius R at a distance 2R from its centre O. A small particle starts from R and reaches Q under gravitational attraction only. Its speed of O will be
A)
zero
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B)
\[CaC{{l}_{2}}\]
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C)
\[CaC{{l}_{2}}\]
done
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D)
\[\text{MgS}{{\text{O}}_{\text{4}}}\]
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question_answer53) A lamp hanging 4 m above the table is lowered by 1m. The illumination on the table
A)
increase by 25%
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B)
decrease by 25%
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C)
increase by 77.7%
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D)
decrease by 77.7%
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question_answer54) The temperature coefficient of resistance of a wire is\[\text{MgS}{{\text{O}}_{\text{4}}}\], its resistance is \[\upsilon /\text{1}0\]. At what temperature, the resistance of the wire will be \[f\]?
A)
800K
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B)
\[1.11f\]
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C)
600 K
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D)
None of these
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question_answer55) The capacity of a parallel plate capacitor depends on the
A)
type of metal used
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B)
thickness of plates
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C)
potential applied across the plates
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D)
separation between the plates
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question_answer56) Which of the following solutions are isotonic with one another?
A)
0.15 M urea and 0.05 M \[1.22f\]
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B)
0.15M urea and 0.1 M\[f\]
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C)
0.15 M urea and 0.15 M glucose
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D)
0.1\[1.27f\] and 0.05 M \[\text{1}.0\text{1}\times \text{1}{{0}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}}\]
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question_answer57)
Five moles of a gas is put through a series of changes as shown graphically in a cyclic process. The process during \[\text{9}.\text{13}\times \text{1}{{0}^{\text{4}}}\text{ N}/{{\text{m}}^{\text{2}}}\] and \[\text{9}.\text{13}\times \text{1}{{0}^{\text{3}}}\text{N}/{{\text{m}}^{\text{2}}}\] respectively are 
A)
isochoric, isobaric, isothermal
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B)
isobaricJsochoric, isothermal
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C)
isothermal, isobaric, isochoric
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D)
isochoric, isothermal, isobaric
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question_answer58) For the hypothetical reactions, the equilibrium constant (K) values are given \[AB,{{K}_{1}},=2.0\] \[BC,{{K}_{2}}=4.0\] \[CD;{{K}_{3}}=3.0\] The equilibrium constant (K), for the reaction \[9.13\times {{10}^{3}}N/{{m}^{2}}\]is
A)
48
done
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B)
6
done
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C)
2.7
done
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D)
24
done
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question_answer59) Standard electrode potential of half-cell reactions are given below \[C{{u}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Cu;\]\[{{E}^{o}}=0.34V\] \[Z{{n}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Zn;\]\[{{E}^{o}}=-0.76V\]What is the emf of the cell?
A)
\[\left[ \text{F}{{\text{L}}^{\text{2}}}{{T}^{-\text{2}}} \right]\]
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B)
\[\left[ \text{F}{{\text{L}}^{-\text{1}}}{{\text{T}}^{\text{2}}} \right]\]
done
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C)
\[\left[ {{\text{F}}^{2}}\text{L}{{\text{T}}^{\text{-2}}} \right]\]
done
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D)
\[-\text{273}.\text{15}{}^\circ \text{F}\]
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question_answer60) The product of reaction between aniline acetic anhydride is
A)
o-aminoacetophenone
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B)
m-aminoacetophenone
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C)
p-aminoacetophenone
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D)
acetanilide
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question_answer61) Anode reaction of a fuel cell is
A)
\[Zn(Hg)+2O{{H}^{-}}\xrightarrow{{}}ZnO(s)+{{H}_{2}}O+2{{e}^{-}}\]
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B)
\[Pb(s)+SO_{4}^{2-}(aq)\xrightarrow{{}}PbS{{O}_{4}}(s)+2{{e}^{-}}\]
done
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C)
\[2{{H}_{2}}(g)+4O{{H}^{-}}(aq)\xrightarrow{{}}4{{H}_{2}}O(l)+4{{e}^{-}}\]
done
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D)
done
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question_answer62) 2.0 g of benzoic acid dissolved in 25.0 g benzene shows a depression in freezing poi equal to 1.62 K. Molal depression constant \[\text{Vc}=\text{1}.\text{5V}\] benzene is\[\text{1}00\text{ }\mu \text{A}\]. The percenta association of the acid is
A)
80%
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B)
99%
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C)
75%
done
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D)
100% \[1.5\mu \] \[\mu \] Normal molecular weight of \[W\] \[\frac{4W}{3}\]=122 \[\frac{5W}{2}\] \[\frac{\pi }{2}\] \[\sigma =\text{5}.\text{67}\times \text{1}{{0}^{-\text{8}}}\text{W}-{{\text{m}}^{\text{2}}}{{\text{K}}^{\text{-4}}}\] \[2{{C}_{6}}{{H}_{5}}COOH\xrightarrow{{}}{{({{C}_{6}}{{H}_{5}}COOH)}_{2}}\] \[t\] where, \[{{(Kg)}^{1/2}}\] \[{{(Kg)}^{-1/2}}\] \[{{(Kg)}^{2}}\] % association \[{{(Kg)}^{-2}}\] \[\frac{pV}{nT}\]
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question_answer63) The number of chloride ion/s produced complex tetraminedichloroplatinum chloride in a aqueous solution is
A)
four
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B)
two
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C)
one
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D)
three
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question_answer64) When \[\text{15}0\text{ }\mu \text{A}\]is added to phenol
A)
no reaction occurs
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B)
a coloured complex will be formed
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C)
\[\text{5 mA}\]will be oxidised to higher state
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D)
o-chlprophenol will be formed
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question_answer65) \[\text{10 mA}\]on treatment with \[\text{ }\!\!\beta\!\!\text{ }\]in aqueous medium gives
A)
no reaction
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B)
\[\left( \frac{1}{V(volume)} \right)\]
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C)
\[\frac{3}{4}\text{m}/\text{s}\]
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D)
isobutylene
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question_answer66) Conduction in a p-type semiconductor is increased by
A)
increasing the band gap
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B)
decreasing the temperature
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C)
adding appropriate electron deficient impurities
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D)
adding appropriate electron rich impurities
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question_answer67) \[\frac{1}{3}\text{m}/\text{s}\] and freons
A)
are green compounds because they are green coloured
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B)
deplete ozone
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C)
cause increase in ozone concentration
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D)
have no effect on ozone concentration
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question_answer68) Boron is unable to form\[BF_{6}^{3-}\] because of
A)
high electronegativity of boron
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B)
high electronegativity of fluorine
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C)
lack of d-orbitals in boron
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D)
less difference in electronegativity between B and F
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question_answer69) The blue colour obtained in the Lassaigne test is due to formation of the compound !m
A)
\[\frac{2}{3}\text{m}/\text{s}\]
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B)
\[{{\lambda }_{0}},\]
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C)
\[\frac{25}{16}{{\lambda }_{0}}\]
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D)
\[\frac{27}{20}{{\lambda }_{0}}\]
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question_answer70) A radioactive substance decays 20% in 10 min If at the start there are \[\frac{20}{27}{{\lambda }_{0}}\] atoms present after what time will the number of atoms be reduced to \[\frac{16}{25}{{\lambda }_{0}}\] atoms?
A)
5.65 h
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B)
4.65h
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C)
3.65 h
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D)
6.65 h
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question_answer71) \[3\Omega \]of gelatin is required to be added \[4\Omega \]of a standard gold solution to just prevent its precipitation by the addition \[4.5\Omega \]of 10% \[NaCl\] solution to it. Hence, the gold number of gelatin in milligram is
A)
\[5\Omega \]
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B)
\[\frac{\sqrt{3}}{1}\]
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C)
\[\frac{(\sqrt{3}+1)}{(\sqrt{3}-1)}\]
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D)
\[\frac{(\sqrt{3}+1)}{1}\]
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question_answer72) Which of the following are arranged in the decreasing order of dipole moment?
A)
\[\frac{4}{3}\]
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B)
\[4\mu F\]
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C)
\[10\mu F\]
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D)
\[8\mu F\]
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question_answer73) If a saturated solution prepared by dissolving \[120\mu F\]in water has \[\omega \] What is the value of \[R/2\] for\[\frac{4\omega }{5}\]?
A)
\[\frac{2\omega }{5}\]
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B)
\[\frac{3\omega }{5}\]
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C)
\[93.8\times {{10}^{-12}}\]
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D)
\[9.38\times {{10}^{-12}}\]
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question_answer74) Which one of the following molecules is achiral?
A)
1-bromo-2-butene
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B)
3-bromo-l-butene
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C)
2, 3-dihydroxy propanal
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D)
2-hydroxypropanoic acid
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question_answer75)
Consider the parallel reactions in the electrophilic addition of \[\mu =\frac{4}{3}\]to propene \[{{\sin }^{-1}}\left( \frac{9}{8} \right)\] the alternative pathways shown below 
Identify the wrong statement with reference to Bafeabove
A)
Path1 has Predominance of (A) over (B)
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B)
Path-2 has predominance of (B) over (A)
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C)
Path-1 is in accordance with anti Markownikoff's rule
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D)
Both the paths afford 50% yield of (A) and (B)
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question_answer76) The raw materials for the commercial Manufacture of DDT are
A)
chlorobenzene and chloroform
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B)
chlorobenzene and chloromethane
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C)
chlorobenzene and chloral
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D)
chlorobenzene and iodoform
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question_answer77) The gas-phase reaction of nitric oxide and bromine yields nitrosyi bromide, \[2NO(g)+B{{r}_{2}}(g)\xrightarrow{{}}2NOBr(g)\] The rate law is, rate \[{{60}^{o}}\] What is the over all reaction order?
A)
1
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B)
2
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C)
3
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D)
4
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question_answer78) Bakelite is formed by polymerisation between
A)
acrylonitrile molecules
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B)
tetrafluoroethene molecules
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C)
urea and formaldehyde molecules
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D)
phenol and formaldehyde molecules
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question_answer79) Chromatographic analysis is based on. The property of
A)
diffusion
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B)
absorption
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C)
adsorption
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D)
condensation
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question_answer80) Total number of metal atoms per unit cell in a face-centred 'cubic lattice is
A)
14
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B)
8
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C)
6
done
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D)
4
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question_answer81) The correct order of increasing oxidising power in the series is
A)
\[VO_{2}^{+}<C{{r}_{2}}O_{7}^{2-}<MnO_{4}^{-}\]
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B)
\[\beta =0.\text{1}\]
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C)
\[{{P}_{1}}\]
done
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D)
\[{{P}_{2}}\]
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question_answer82) Normal human blood sugar range is \[{{P}_{1}}\]Considering density of human blood is 1.06 kg/L, if a patient's sugar level reads 720 ppm, his/her blood sugar at that time is
A)
normal
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B)
high
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C)
low
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D)
cannot say
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question_answer83) Which of the following statements is correct?
A)
The equivalent mass of \[{{P}_{2}}\]in alkaline medium is molar mass divided by five
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B)
The equivalent mass of \[\text{2}\times \text{1}{{0}^{\text{7}}}\text{m}/\text{s}\] in strongly alkaline medium is molar mass divided by three
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C)
The equivalent mass of \[\text{2}\times \text{1}{{0}^{-2}}T\] in neutral medium is molar mass divided by two
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D)
The equivalent mass of \[\left( \frac{e}{m} \right)\]in weakly acidic medium is molar mass divided by three
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question_answer84) The spin only magnetic moment of \[\text{1}.\text{76}\times \text{1}{{0}^{\text{11}}}\text{C}/\text{kg}\](at. no. for Cr is 24) is
A)
0
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B)
1.73BM
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C)
2.83BM
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D)
4.9BM
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question_answer85)
The correct relation between the following pair of compounds is 
A)
constitutional isomers
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B)
enantiomers
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C)
diastereomers
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D)
None of the above
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question_answer86) The effective atomic number for\[2B\](at. no. for Rh is 45) is
A)
42
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B)
45
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C)
48
done
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D)
54
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question_answer87) The strongest acid among the choices is
A)
dichloroacetic acid
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B)
dimethylacetic acid
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C)
trifluoroacetic acid
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D)
triiodoacetic acid
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question_answer88) The correct order of leaving group ability in a nucleophilic substitution reaction is
A)
\[\frac{B}{4}\]
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B)
\[\frac{B}{2}\]
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C)
\[y=A\sin (Bx+Ct+D)\]
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D)
\[[{{m}^{0}}{{L}^{-1}}{{T}^{0}}]\]
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question_answer89) Glucose and fructose can be distinguished by (a) Lucas test
A)
Ninhydrin test
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B)
Benedict reagent test
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C)
All of the above
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D)
done
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question_answer90) Which is the most stable compound among the following?
A)
done
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B)
done
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C)
done
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D)
All the compounds have same stability
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question_answer91) Entropy change in a process where 1 L of liquid He is poured into ice cold water is
A)
finite and positive
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B)
finite and negative
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C)
zero
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D)
infinity
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question_answer92) For an ideal system at thermal equilibrium, the velocity distribution of the constituent particles will be governed by
A)
Gaussian distribution
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B)
Maxwell-goltzmann distribution
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C)
Lorentzian distribution
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D)
Log-normal distribution
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question_answer93) Properties of elements are periodic function of number of...... present in the nucleus.
A)
protons
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B)
electrons
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C)
neutrons
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D)
mesons
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question_answer94)
Certain reactions follow the relation between concentrations of the reactant vs time as 
What is the expected order for such reactions?
A)
0
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B)
1
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C)
2
done
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D)
Infinity
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question_answer95) Maximum number of electrons in a shell with principal quantum number n is given by
A)
\[[{{m}^{0}}{{L}^{0}}{{T}^{-1}}]\]
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B)
\[[{{m}^{0}}{{L}^{-1}}{{T}^{-2}}]\]
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C)
\[[{{m}^{0}}{{L}^{0}}{{T}^{0}}]\]
done
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D)
\[1.5\mu \]
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question_answer96) The first step in the extraction of Cu from copper pyrites is
A)
reduction by carbon
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B)
electrolysis of ore
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C)
roasting of ore in\[\mu \]
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D)
magnetic separation
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question_answer97) A first order reaction has a rate constant \[W\]. How long it will take to decompose half of the reaction?
A)
\[\frac{4W}{3}\]
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B)
\[\frac{5W}{2}\]
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C)
\[\frac{\pi }{2}\]
done
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D)
\[\sigma =\text{5}.\text{67}\times \text{1}{{0}^{-\text{8}}}\text{W}-{{\text{m}}^{\text{2}}}{{\text{K}}^{\text{-4}}}\]
done
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question_answer98) \[y=5\sin \frac{\pi x}{3}\cos 40\pi t\] is a
A)
strong reducing agent
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B)
strong base
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C)
strong oxidising agent
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D)
weak base
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question_answer99) A ketone gives a yellow ppt when treated with \[t\] in an alkaline solution. Thus, the ketone is
A)
a cyclic ketone
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B)
a methyl ketone
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C)
an unsaturated ketone
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D)
None of the above
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question_answer100) The ore of magnetite is
A)
\[{{(Kg)}^{1/2}}\]
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B)
\[{{(Kg)}^{-1/2}}\]
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C)
\[{{(Kg)}^{2}}\]
done
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D)
\[{{(Kg)}^{-2}}\]
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question_answer101) A compound with nitro group was reduced by\[\frac{pV}{nT}\], followed by treatment with \[\frac{pV}{nT}\frac{pV}{nT}\upsilon ersus\] and followed by phenol. The chromophore group in the final compound is
A)
\[{{T}_{1}}>{{T}_{2}}\] group
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B)
\[\frac{pV}{nT}\] group
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C)
\[4\times {{10}^{3}}A{{m}^{-1}}\]group
done
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D)
\[\text{1}{{0}^{-\text{2}}}\]group
done
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question_answer102) The most stable oxidation state exhibited by thallium is
A)
0
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B)
+1
done
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C)
+2
done
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D)
+3
done
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question_answer103) Bohr model of hydrogen atom was unable to explain
A)
Rydberg's formula of atomic spectra
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B)
Heisenberg's uncertainty principle
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C)
Planck's law of energy quantization
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D)
Rutherford's model of atomic structure
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question_answer104) The order of basic strength for methyl substituted amine in aqueous solution is
A)
\[\text{1}{{0}^{-3}}\]
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B)
\[1\mu V\]
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C)
\[\text{1}.\text{96}\times \text{1}{{0}^{-\text{8}}}\text{ m}/\text{s}\]
done
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D)
\[\text{2}.\text{12}\times \text{1}{{0}^{\text{8}}}\text{ m}/\text{s}\]
done
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question_answer105) The crystal structure of solid Mn(II) oxide is
A)
\[\text{3}.\text{18}\times \text{1}{{0}^{8}}m/s\]structure
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B)
\[\text{3}.\text{33}\times {{10}^{\text{8}}}\text{ m}/\text{s}\]structure
done
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C)
\[\theta =\text{45}{}^\circ \] structure
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D)
\[\frac{1}{3}M{{L}^{2}}\] structure
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question_answer106) 2-bromobutane reacts with \[\frac{3}{2}M{{L}^{2}}\]in \[\frac{3}{4}M{{L}^{2}}\] to give 2-butanol. The reaction involves
A)
retention in configuration
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B)
inversion in configuration
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C)
racemization
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D)
mutarotation
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question_answer107) The compound used for gravimetric estimation of copper \[M{{L}^{2}}\] is
A)
\[{{R}_{1}}\]
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B)
\[{{R}_{2}}\]
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C)
\[{{Q}_{1}}\]
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D)
\[{{Q}_{2}}\]
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question_answer108) Latent heat of vaporisation of water is \[{{Q}_{1}}{{R}_{2}}\ne {{Q}_{2}}{{R}_{1}}\] at\[{{Q}_{1}}{{R}_{2}}={{Q}_{2}}{{R}_{1}}\]. Calculate molal boiling point elevation constant of water.
A)
\[5.2{}^\circ \]
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B)
\[0.052{}^\circ \]
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C)
\[52.2{}^\circ \]
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D)
\[0.52{}^\circ \]
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question_answer109) The silver salt of an unknown monoacidic alkyne contains 67.08% silver. The structure of the alkyne is
A)
\[s=\frac{{{t}^{2}}}{4}\]
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B)
\[T\propto V\]
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C)
\[T\propto {{V}^{2}}\]
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D)
\[T\propto \frac{1}{{{V}^{2}}}\]
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question_answer110) Time required to deposit one millimole of As metal by the passage of 9.65A through aqueous solution of aluminium ion is
A)
30s
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B)
10s
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C)
3000s
done
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D)
10000s
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question_answer111) Matrix A is such that\[T\propto \frac{1}{V}\], where is the identity matrix. Then, for\[\text{6}\times \text{1}{{0}^{-\text{7}}}\text{A}-{{\text{m}}^{\text{2}}}\],\[{{A}^{n}}\] is equal to
A)
\[\text{5 g}/\text{c}{{\text{m}}^{\text{3}}}\]
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B)
\[nA-l\]
done
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C)
\[\text{1}.\text{2}\times \text{1}{{0}^{-\text{7}}}\]
done
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D)
\[\text{3}\times \text{1}{{0}^{-\text{6}}}\]
done
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question_answer112) The number of solutions of the system of equations \[CaC{{l}_{2}}\],\[\text{MgS}{{\text{O}}_{\text{4}}}\] and\[\text{MgS}{{\text{O}}_{\text{4}}}\] is
A)
zero
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B)
one
done
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C)
two
done
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D)
infinite
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question_answer113) Let\[CaC{{l}_{2}}\] be a function defined by \[x+3y-11=0\], where [ ] denotes the greatest integer function. Then, \[P({{x}_{1}},{{y}_{1}})\]is equal to
A)
\[Q\left( \text{4},-\text{3} \right)\]
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B)
\[\therefore \]
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C)
\[PQ\]
done
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D)
\[\frac{1}{x+\left[ \frac{\pi }{2} \right]}\]
done
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question_answer114) Let \[y=x\] be a function defined by \[\therefore \]The\[\frac{{{x}_{1}}+4}{2}=\frac{{{y}_{1}}-3}{2}\]is
A)
one-one onto
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B)
one-one but not onto
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C)
onto but not one-one
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D)
None of these
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question_answer115) If the conjugate of \[\Rightarrow \]be \[{{x}_{1}}-{{y}_{1}}=-7\],then
A)
\[PQ=\frac{-3-{{y}_{1}}}{4-{{x}_{1}}}\]
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B)
\[y=x\]
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C)
\[\because \]
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D)
\[PQ\]
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question_answer116) In the argand plane, the complex number \[y=x\] is turned in the clockwise sense through 180° and stretched three times. The complex number represented by the new number is
A)
\[\therefore \]
done
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B)
\[\left( \frac{-3-{{y}_{1}}}{4-{{x}_{1}}} \right)(1)=-1\]
done
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C)
\[\Rightarrow \]
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D)
\[{{y}_{1}}+{{x}_{1}}=1\]
done
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question_answer117) If the sum of roots of equation \[{{x}_{1}}=-3\,\,\,and\,\,\,{{y}_{1}}=4\] is equal to sum of squares of their reciprocals, then \[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x+1}{x+2} \right)}^{2x+1}}=\underset{x\to \infty }{\mathop{\lim }}\,{{\left( 1-\frac{1}{x+2} \right)}^{2x+1}}\]and \[=\underset{x\to \infty }{\mathop{\lim }}\,{{\left[ {{\left( 1-\frac{1}{x+2} \right)}^{x+2}} \right]}^{\frac{2x+1}{x+2}}}\]are in
A)
GP
done
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B)
HP
done
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C)
AP
done
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D)
None of these
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question_answer118) If the roots of the equation \[=\underset{x\to \infty }{\mathop{\lim }}\,\frac{2+1/x}{1+2/x}={{e}^{-2}}\] are real and less than 3,then
A)
\[[-1,\infty )-\{0\}\]
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B)
\[\text{x}=0\]
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C)
\[\therefore \]
done
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D)
\[Rf'(0)=\underset{h\to 0}{\mathop{\lim }}\,\frac{f(0+h)-f(0)}{h}\]
done
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question_answer119) If \[=\underset{h\to 0}{\mathop{\lim }}\,\frac{\sqrt{h+1}-1}{{{h}^{3/2}}}\times \frac{\sqrt{h+1}+1}{\sqrt{h+1}+1}\], y and z are in HP, then the value of expression \[=\underset{h\to 0}{\mathop{\lim }}\,\frac{h}{{{h}^{3/2}}(\sqrt{h+1}+1)}\] will be
A)
\[=\underset{h\to 0}{\mathop{\lim }}\,\frac{h}{\sqrt{h}(\sqrt{h+1}+1)}\]
done
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B)
\[=\frac{1}{0(\sqrt{0+1}+1)}=\frac{1}{0}=\infty \]
done
clear
C)
\[\underset{x\to 0}{\mathop{\lim }}\,\frac{\cos (\sin x)-1}{{{x}^{2}}}\]
done
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D)
\[\mu \]
done
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question_answer120) The term independent of. r in the expansion of \[W\]is
A)
\[\frac{4W}{3}\]
done
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B)
\[\frac{5W}{2}\]
done
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C)
\[\frac{\pi }{2}\]
done
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D)
None of these
done
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question_answer121) The largest term in the expansion of\[\sigma =\text{5}.\text{67}\times \text{1}{{0}^{-\text{8}}}\text{W}-{{\text{m}}^{\text{2}}}{{\text{K}}^{\text{-4}}}\], where \[y=5\sin \frac{\pi x}{3}\cos 40\pi t\], is
A)
5th
done
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B)
3rd
done
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C)
7th
done
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D)
6th
done
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question_answer122) \[t\]is equal to
A)
0
done
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B)
\[{{(Kg)}^{1/2}}\]
done
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C)
\[{{(Kg)}^{-1/2}}\]
done
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D)
\[{{(Kg)}^{2}}\]
done
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question_answer123) If A and B are square matrices of order 3 such that \[{{(Kg)}^{-2}}\]and\[\frac{pV}{nT}\], then \[\frac{pV}{nT}\frac{pV}{nT}\upsilon ersus\] is equal to
A)
-9
done
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B)
-81
done
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C)
-27
done
clear
D)
81
done
clear
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question_answer124) If\[{{T}_{1}}>{{T}_{2}}\] , then r , is equal to
A)
3
done
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B)
4
done
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C)
8
done
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D)
6
done
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question_answer125) The number of ways in which \[\frac{pV}{nT}\] students can be distributed equal among n sections, is
A)
\[4\times {{10}^{3}}A{{m}^{-1}}\]
done
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B)
\[\text{1}{{0}^{-\text{2}}}\]
done
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C)
\[\text{1}{{0}^{-3}}\]
done
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D)
\[1\mu V\]
done
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question_answer126) The origin is shifted to (1, 2). The equation \[\text{1}.\text{96}\times \text{1}{{0}^{-\text{8}}}\text{ m}/\text{s}\] changes to \[\text{2}.\text{12}\times \text{1}{{0}^{\text{8}}}\text{ m}/\text{s}\] Then, \[\text{3}.\text{18}\times \text{1}{{0}^{8}}m/s\] is equal to
A)
1
done
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B)
2
done
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C)
-2
done
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D)
-1
done
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question_answer127) Given points are A (0,4) and\[\text{3}.\text{33}\times {{10}^{\text{8}}}\text{ m}/\text{s}\]. Then, locus of \[\theta =\text{45}{}^\circ \] such that \[\frac{1}{3}M{{L}^{2}}\]is
A)
\[\frac{3}{2}M{{L}^{2}}\]
done
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B)
\[\frac{3}{4}M{{L}^{2}}\]
done
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C)
\[M{{L}^{2}}\]
done
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D)
None of these
done
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question_answer128) The equation of straight line perpendicular to a line \[{{R}_{1}}\] and passes through (5, 2) is
A)
\[{{R}_{2}}\]
done
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B)
\[{{Q}_{1}}\]
done
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C)
\[{{Q}_{2}}\]
done
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D)
None of these
done
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question_answer129) The image of the point (4, -3) with respect to the line \[{{Q}_{1}}{{R}_{2}}\ne {{Q}_{2}}{{R}_{1}}\] is
A)
\[(-4,-3)\]
done
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B)
\[(3,4)\]
done
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C)
\[(-4,\text{ }3)\]
done
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D)
\[(-3,\text{ }4)\]
done
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question_answer130) \[{{Q}_{1}}{{R}_{2}}={{Q}_{2}}{{R}_{1}}\] is equal to
A)
\[s=\frac{{{t}^{2}}}{4}\]
done
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B)
e
done
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C)
\[T\propto V\]
done
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D)
None of these
done
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question_answer131) The set of points of differentiability of the function \[T\propto {{V}^{2}}\] is
A)
R
done
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B)
\[T\propto \frac{1}{{{V}^{2}}}\]
done
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C)
\[T\propto \frac{1}{V}\]
done
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D)
\[\text{6}\times \text{1}{{0}^{-\text{7}}}\text{A}-{{\text{m}}^{\text{2}}}\]
done
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question_answer132) \[\text{5 g}/\text{c}{{\text{m}}^{\text{3}}}\]is equal to
A)
1
done
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B)
\[\text{8}\text{.3}\times \text{1}{{0}^{\text{6}}}\]
done
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C)
\[\text{1}.\text{2}\times \text{1}{{0}^{-\text{7}}}\]
done
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D)
\[\text{3}\times \text{1}{{0}^{-\text{6}}}\]
done
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question_answer133) Let \[CaC{{l}_{2}}\] and \[\text{MgS}{{\text{O}}_{\text{4}}}\]where \[CaC{{l}_{2}}\]is continuous. Then, \[CaC{{l}_{2}}\]is equal to
A)
\[f(x)g(0)\]
done
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B)
\[\text{MgS}{{\text{O}}_{\text{4}}}\]
done
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C)
\[\upsilon /\text{1}0\]
done
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D)
\[f\]
done
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question_answer134) The equation of a tangent parallel to\[1.11f\]drawn to\[1.22f\]is
A)
\[f\]
done
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B)
\[1.27f\]
done
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C)
\[\text{1}.0\text{1}\times \text{1}{{0}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}}\]
done
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D)
None of these
done
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question_answer135) The lengths of the axes of the conic \[\text{9}.\text{13}\times \text{1}{{0}^{\text{4}}}\text{ N}/{{\text{m}}^{\text{2}}}\] are
A)
\[\text{9}.\text{13}\times \text{1}{{0}^{\text{3}}}\text{N}/{{\text{m}}^{\text{2}}}\]
done
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B)
\[\text{18}.\text{26 N}/{{\text{m}}^{\text{2}}}\]
done
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C)
\[\text{2}.\text{25}\times \text{1}{{0}^{\text{3}}}\text{min}\]
done
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D)
3,2
done
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question_answer136) If a chord which is normal to the parabola at one end, subtends a right angle at the vertex, then angle to the axis is
A)
\[\text{3}.\text{97}\times \text{1}{{0}^{\text{3}}}\text{min}\]
done
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B)
0
done
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C)
\[9.13\times {{10}^{3}}N/{{m}^{2}}\]
done
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D)
\[\text{5}.\text{25}\times \text{1}{{0}^{\text{3}}}\text{min}\]
done
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question_answer137) Two cards are drawn without replacement from a well-shuffled pack. The probability that one of them is an ace of heart, is
A)
\[\left[ \text{FL}{{\text{T}}^{-\text{2}}} \right]\]
done
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B)
\[\left[ \text{F}{{\text{L}}^{\text{2}}}{{T}^{-\text{2}}} \right]\]
done
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C)
\[\left[ \text{F}{{\text{L}}^{-\text{1}}}{{\text{T}}^{\text{2}}} \right]\]
done
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D)
None of these
done
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question_answer138) If\[\left[ {{\text{F}}^{2}}\text{L}{{\text{T}}^{\text{-2}}} \right]\]and \[-\text{273}.\text{15}{}^\circ \text{F}\]then \[-\text{453}.\text{15}{}^\circ \text{F}\] is equal to
A)
\[-\text{459}.\text{67}{}^\circ \text{F}\]
done
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B)
\[-\text{491}.\text{67}{}^\circ \text{F}\]
done
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C)
\[\text{52}00\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\]
done
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D)
\[\text{Vc}=\text{1}.\text{5V}\]
done
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question_answer139) The value of\[[a-b\,b-c\,c-a]\] is
A)
0
done
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B)
1
done
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C)
2
done
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D)
3
done
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question_answer140) Let \[\text{15}0\text{ }\mu \text{A}\] and \[\text{5 mA}\]be unit vectors at an angle \[\text{10 mA}\] \[\text{ }\!\!\beta\!\!\text{ }\] from each other. Then, \[\left( \frac{1}{V(volume)} \right)\], if
A)
\[\frac{3}{4}\text{m}/\text{s}\]
done
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B)
\[\frac{1}{3}\text{m}/\text{s}\]
done
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C)
\[\frac{3}{2}\text{m}/\text{s}\]
done
clear
D)
\[\frac{2}{3}\text{m}/\text{s}\]
done
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question_answer141) The angle between the planes \[{{\lambda }_{0}},\]and \[\frac{25}{16}{{\lambda }_{0}}\] is
A)
\[\frac{27}{20}{{\lambda }_{0}}\]
done
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B)
\[\frac{20}{27}{{\lambda }_{0}}\]
done
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C)
\[\frac{16}{25}{{\lambda }_{0}}\]
done
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D)
\[3\Omega \]
done
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question_answer142) The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8), is
A)
\[4\Omega \]
done
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B)
\[4.5\Omega \]
done
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C)
\[5\Omega \]
done
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D)
\[\frac{\sqrt{3}}{1}\]
done
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question_answer143) The point on the line \[\frac{(\sqrt{3}+1)}{(\sqrt{3}-1)}\]at a distance of 6 from the point (2, -3, -5) is
A)
(3,-5,-3)
done
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B)
(4,-7.-9)
done
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C)
(0,2,-1)
done
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D)
(-3,5,3)
done
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question_answer144) The maximum value of \[\frac{(\sqrt{3}+1)}{1}\]is
A)
\[\frac{4}{3}\]
done
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B)
\[4\mu F\]
done
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C)
\[10\mu F\]
done
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D)
\[8\mu F\]
done
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question_answer145) If \[120\mu F\]then the value of \[\omega \] is
A)
1
done
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B)
2
done
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C)
0
done
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D)
\[R/2\]
done
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question_answer146) The number of solutions of the equation \[\frac{4\omega }{5}\] in \[\frac{2\omega }{5}\]is
A)
zero
done
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B)
one
done
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C)
two
done
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D)
three
done
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question_answer147) If in a \[\frac{3\omega }{5}\]\[\frac{2\omega }{3}\], then \[\mu =\frac{3}{2}\] is equal to
A)
\[30{}^\circ \]
done
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B)
\[60{}^\circ \]
done
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C)
\[90{}^\circ \]
done
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D)
None of these
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question_answer148) In \[\mu =\frac{4}{3}\] then a, b and care in
A)
AP
done
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B)
GP
done
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C)
HP
done
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D)
None of these
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question_answer149) \[{{\sin }^{-1}}\left( \frac{9}{8} \right)\] is equal to
A)
\[{{\cos }^{-1}}\left( \frac{x-4}{5} \right)+C\]
done
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B)
\[si{{n}^{-1}}\left( \frac{x-4}{5} \right)+C\]
done
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C)
\[si{{n}^{-1}}\left( \frac{5}{x-4} \right)+C\]
done
clear
D)
None of these
done
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question_answer150) \[\beta =0.\text{1}\]is equal to
A)
\[\frac{{{x}^{2}}}{2}+C\]
done
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B)
\[-\frac{{{x}^{2}}}{2}+C\]
done
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C)
\[x|x|+C\]
done
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D)
\[\frac{x|x|}{2}+C\]
done
clear
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question_answer151) \[\text{2}\times \text{1}{{0}^{\text{7}}}\text{m}/\text{s}\]is equal to
A)
\[\text{2}\times \text{1}{{0}^{-2}}T\]
done
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B)
\[\left( \frac{e}{m} \right)\]
done
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C)
\[\text{1}.\text{76}\times \text{1}{{0}^{\text{11}}}\text{C}/\text{kg}\]
done
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D)
\[2B\]
done
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question_answer152) \[\frac{B}{4}\] is equal to
A)
\[\frac{B}{2}\]
done
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B)
\[y=A\sin (Bx+Ct+D)\]
done
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C)
\[[{{m}^{0}}{{L}^{-1}}{{T}^{0}}]\]
done
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D)
\[[{{m}^{0}}{{L}^{0}}{{T}^{-1}}]\]
done
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question_answer153) The area bounded by \[[{{m}^{0}}{{L}^{-1}}{{T}^{-2}}]\] and X-axis is
A)
\[[{{m}^{0}}{{L}^{0}}{{T}^{0}}]\]
done
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B)
\[1.5\mu \]
done
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C)
\[\mu \]
done
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D)
None of the above
done
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question_answer154) A man on the top of a cliff 100 m high observes the angles of depression of two points on the opposite sides of the cliff as 30° and 60°, respectively. Then, the distance between the two points is
A)
400 m
done
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B)
\[W\]
done
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C)
\[\frac{4W}{3}\]
done
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D)
None of these
done
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question_answer155) The solution set of the equation \[\frac{5W}{2}\]is
A)
[0,1]
done
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B)
[-1,1]
done
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C)
[1.3]
done
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D)
None of these
done
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question_answer156) If \[\frac{\pi }{2}\],then the value of \[\sigma =\text{5}.\text{67}\times \text{1}{{0}^{-\text{8}}}\text{W}-{{\text{m}}^{\text{2}}}{{\text{K}}^{\text{-4}}}\] will be
A)
2abc
done
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B)
abc
done
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C)
\[y=5\sin \frac{\pi x}{3}\cos 40\pi t\]
done
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D)
\[t\]
done
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question_answer157) The. solution of the differential equation \[{{(Kg)}^{1/2}}\] is
A)
\[{{(Kg)}^{-1/2}}\]
done
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B)
\[{{(Kg)}^{2}}\]
done
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C)
\[{{(Kg)}^{-2}}\]
done
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D)
None of these
done
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question_answer158) The integrating factor of the differential equation \[\frac{pV}{nT}\]is
A)
\[{{x}^{\log x}}\]
done
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B)
\[{{(\sqrt{x})}^{\log x}}\]
done
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C)
\[{{(\sqrt{e})}^{{{(\log x)}^{2}}}}\]
done
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D)
\[{{e}^{{{x}^{2}}}}\]
done
clear
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question_answer159) If \[\text{1}{{0}^{-\text{2}}}\].then \[\text{1}{{0}^{-3}}\] is equal to
A)
\[1\mu V\]
done
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B)
\[\text{1}.\text{96}\times \text{1}{{0}^{-\text{8}}}\text{ m}/\text{s}\]
done
clear
C)
\[{{(\tan x)}^{\sin x}}[\sec x+\cos x\log \tan x]\]
done
clear
D)
None of the above
done
clear
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question_answer160) If\[\text{3}.\text{18}\times \text{1}{{0}^{8}}m/s\] and \[\text{3}.\text{33}\times {{10}^{\text{8}}}\text{ m}/\text{s}\] then \[\theta =\text{45}{}^\circ \] is equal to
A)
\[\frac{-y}{x}\]
done
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B)
\[\frac{y}{x}\]
done
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C)
\[-\frac{x}{y}\]
done
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D)
\[\frac{x}{y}\]
done
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question_answer161) The equation of the tangent to the curve\[{{R}_{1}}\]at the point, where the ordinate and the abscissa are equal, is
A)
\[{{R}_{2}}\]
done
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B)
\[{{Q}_{1}}\]
done
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C)
\[{{Q}_{2}}\]
done
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D)
None of the above
done
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question_answer162) The function \[{{Q}_{1}}{{R}_{2}}\ne {{Q}_{2}}{{R}_{1}}\]has
A)
no maxima and minima
done
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B)
one maximum and one minimum
done
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C)
two maxima
done
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D)
two minima
done
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question_answer163) If \[{{Q}_{1}}{{R}_{2}}={{Q}_{2}}{{R}_{1}}\]and f(0) = 0, then the value of a for which Rolle's theorem can be applied in [0,1], is
A)
-2
done
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B)
-1
done
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C)
0
done
clear
D)
\[s=\frac{{{t}^{2}}}{4}\]
done
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question_answer164) The algebraic sum of the deviation of 20 observations measured from 30 is 2. Then mean of observations is
A)
28.5
done
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B)
30.1
done
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C)
30.5
done
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D)
29.6
done
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question_answer165) The standard deviation of 15 items is 6 and if each item is decreased by 1, then standard deviation will be
A)
5
done
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B)
7
done
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C)
\[T\propto V\]
done
clear
D)
6
done
clear
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question_answer166) If \[T\propto {{V}^{2}}\]is equal to
A)
2
done
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B)
0
done
clear
C)
\[T\propto \frac{1}{{{V}^{2}}}\]
done
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D)
0
done
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question_answer167) The equation of the smallest circle passing through the intersection of the line \[T\propto \frac{1}{V}\] and the circle \[\text{6}\times \text{1}{{0}^{-\text{7}}}\text{A}-{{\text{m}}^{\text{2}}}\] is
A)
\[\text{5 g}/\text{c}{{\text{m}}^{\text{3}}}\]
done
clear
B)
\[\text{8}\text{.3}\times \text{1}{{0}^{\text{6}}}\]
done
clear
C)
\[\text{1}.\text{2}\times \text{1}{{0}^{-\text{7}}}\]
done
clear
D)
None of the above
done
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question_answer168) The complex number \[\text{3}\times \text{1}{{0}^{-\text{6}}}\] in polar form is
A)
\[CaC{{l}_{2}}\]
done
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B)
\[\text{MgS}{{\text{O}}_{\text{4}}}\]
done
clear
C)
\[\text{MgS}{{\text{O}}_{\text{4}}}\]
done
clear
D)
None of the above
done
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question_answer169) If \[CaC{{l}_{2}}\]and \[A\to B,B\to C\], then\[C\to A\]is equal to
A)
\[\upsilon /\text{1}0\]
done
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B)
\[f\]
done
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C)
\[1.11f\]
done
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D)
\[1.22f\]
done
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question_answer170) The orthocentre of the triangle formed by (0,0), (8, 0) and (4, 6) is
A)
\[f\]
done
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B)
\[1.27f\]
done
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C)
\[\text{1}.0\text{1}\times \text{1}{{0}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}}\]
done
clear
D)
\[\text{9}.\text{13}\times \text{1}{{0}^{\text{4}}}\text{ N}/{{\text{m}}^{\text{2}}}\]
done
clear
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