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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)
\[\text{1}.0\text{1}\times \text{1}{{0}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}}\]
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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)
\[\text{2}.\text{25}\times \text{1}{{0}^{\text{3}}}\text{min}\]
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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)
\[\text{5}.\text{25}\times \text{1}{{0}^{\text{3}}}\text{min}\]
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C)
\[\left[ \text{FL}{{\text{T}}^{-\text{2}}} \right]\]
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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)
\[-\text{491}.\text{67}{}^\circ \text{F}\]
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C)
\[\text{52}00\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\]
done
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D)
\[\text{Vc}=\text{1}.\text{5V}\]
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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
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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
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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)
.
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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
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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)
\[\beta =0.\text{1}\]
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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
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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)
\[{{(Kg)}^{-2}}\]
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C)
\[\frac{pV}{nT}\]
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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
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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)
\[\text{3}.\text{33}\times {{10}^{\text{8}}}\text{ m}/\text{s}\]
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C)
\[\theta =\text{45}{}^\circ \]
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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
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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)
\[M{{L}^{2}}\]
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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
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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
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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)
\[T\propto \frac{1}{V}\]
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C)
\[\text{6}\times \text{1}{{0}^{-\text{7}}}\text{A}-{{\text{m}}^{\text{2}}}\]
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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)
\[CaC{{l}_{2}}\]
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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)
\[CaC{{l}_{2}}\]
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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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