question_answer 1) A thin circular ring of mass M and radius R is rotating about its axis with a constant angular speed \[\omega .\] Two blocks, each of mass m are attached gently to the opposite ends of a diameter of the ring the angular. speed of the ring will be:
A)
\[\frac{M+2m}{M}\omega \]
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B)
\[\frac{M}{M+2m}\omega \]
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C)
\[\frac{M-2m}{M+2m}\omega \]
done
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D)
\[\frac{2M}{M+2m}\omega \]
done
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question_answer 2) In a pressure cooker, the food is prepared quickly, the reason is that the:
A)
boiling point of water is raised due to increase in volume
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B)
boiling point of water is raised due to the increase in pressure
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C)
boiling point of water decreases due to increase in pressure
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D)
none of the above
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question_answer 3) In the equation\[\left( P+\frac{a}{{{V}^{2}}} \right)(V-b)=RT,\] where P = pressure, V= volume, a and b are constants, the dimensions of a are:
A)
\[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{\text{5}}}{{\text{T}}^{\text{-1}}}\text{ }\!\!]\!\!\text{ }\]
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B)
\[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{\text{-5}}}{{\text{T}}^{\text{-1}}}\text{ }\!\!]\!\!\text{ }\]
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C)
\[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{5}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]
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D)
\[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{-1}}}{{\text{L}}^{5}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]
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question_answer 4) Two bulbs have wattage 250 W and 100 W respectively, each rated at 220 V. The ratio of resistances between the two bulbs will be:
A)
2 : 5
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B)
5 : 2
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C)
3 : 4
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D)
4 : 3
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question_answer 5) When a current in coil changes from 4 A to 2 A in 0.05 s, emf of 8 V is induced in the coil. The coefficient of self-inductance in the coil is:
A)
0.8 H
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B)
0.4 H
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C)
0.2 H
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D)
0.1 H
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question_answer 6) If a sphere is rolling, the ratio of its rotational to total energy is given by:
A)
2 : 7
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B)
10 : 7
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C)
7 : 10
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D)
2 : 5
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question_answer 7) Water is flowing on the blades of a turbine at a rate of 100 kg/s from a certain spring. If the height of the spring be 100 m, the power transferred to the turbine will be:
A)
100 W
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B)
1 Kw
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C)
10 kW
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D)
100 kW
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question_answer 8) A bullet \[({{m}_{1}}=25g)\] fired with a velocity 400 m/s gets embedded into a bag of sand \[({{m}_{2}}=4.9\,kg)\] suspended by a rope. The velocity gained by the bag is nearly:
A)
2 m/s
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B)
4 m/s
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C)
8 m/s
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D)
0.2 m/s
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question_answer 9) The work done to form a layer of soap solution of size \[10\times 10\,cm\] will be: (surface tension of soap solution is \[3\times {{10}^{-2}}\,N/m\])
A)
\[\text{6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-2}}}\text{J}\]
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B)
\[\text{6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-4}}}\text{J}\]
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C)
\[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-2}}}\text{J}\]
done
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D)
\[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-4}}}\text{J}\]
done
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question_answer 10) In a transistor \[\beta =100\]. The value of \[\alpha \] is:
A)
1
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B)
0.99
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C)
0.1
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D)
0.01
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question_answer 11) A bomb of mass 9 kg at rest explodes into two pieces of mass 4 kg and 5 kg. The velocity of 4 kg mass is 15 m/s. What is the kinetic energy of 5 kg mass?
A)
Zero
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B)
562.5 J
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C)
360 J
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D)
180 J
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question_answer 12) The velocity of sound at \[0{}^\circ C\] is 332 m/s. At what temperature will it be 664 m/s?
A)
\[273{}^\circ C\]
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B)
\[546{}^\circ C\]
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C)
\[1092{}^\circ C\]
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D)
\[819{}^\circ C\]
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question_answer 13) The equation of a wave moving on a string may be written as\[y=3\,\cos \,\pi (100t-x)\]where x, y are in cm and t in second. Its wavelength will be:
A)
5 cm
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B)
2 cm
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C)
100 cm
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D)
3 cm
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question_answer 14) A train mover towards a stationary observer with speed 34 m/s. The train sounds a whistle and its frequency registered by the observer is \[{{f}_{1.}}\] If the trains speed is reduced to 17 m/s, the frequency registered is \[{{f}_{2}}\]If the speed of round is 340 m/s, the ratio \[{{f}_{1}}/{{f}_{2}}\] is:
A)
\[\frac{19}{18}\]
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B)
\[\frac{18}{19}\]
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C)
\[\frac{1}{2}\]
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D)
\[2\]
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question_answer 15) In a closed organ pipe which of the following notes is not present, if fundamental note is 50 Hz?
A)
100 Hz
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B)
150 Hz
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C)
250 Hz
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D)
None of these
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question_answer 16) A monoatomic gas \[(\gamma =5/3)\] at pressure P is suddenly compressed to \[\frac{1}{8}\]th of its volume adiabatically, the pressure of gas is :
A)
\[\frac{43}{3}P\]
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B)
\[8P\]
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C)
\[32P\]
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D)
\[\frac{24}{5}P\]
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question_answer 17) An ideal Carnot engine whose efficiency is 40% receives heat at 500 K. If the efficiency is to be 50% the intake temperature for this same exhaust temperature is :
A)
600 K
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B)
800 K
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C)
900 K
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D)
1000 K
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question_answer 18) A mixture of gas contains 8 g of oxygen and 7 g of nitrogen. To use the equation PV = nRT, the value of n of such mixture will be:
A)
\[\frac{1}{2}\]
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B)
\[\frac{1}{4}\]
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C)
2
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D)
4
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question_answer 19) How many times is diatomic gas should be expanded adiabatically, so as to reduce the root mean square velocity to half?
A)
64
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B)
32
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C)
16
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D)
8
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question_answer 20) The masses of three wires of copper are in the ratio 1 : 2 : 3 and their lengths are in the ratio 3 : 2 : 1. The ratio of their resistances is:
A)
3 : 2 : 1
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B)
1 : 2 : 3
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C)
27 : 6 : 1
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D)
1 : 6 : 27
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question_answer 21) If the length of a conductor is halved, then the conductance will be:
A)
quadrupled
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B)
doubled
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C)
halved
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D)
unchanged
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question_answer 22) The vertical component of earths magnetic field is zero at a place whose angle of dip is:
A)
\[90{}^\circ \]
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B)
\[60{}^\circ \]
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C)
\[45{}^\circ \]
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D)
\[0{}^\circ \]
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question_answer 23) Energy stored in a coil of self-inductance 40 mH carrying a steady current of 2 A is:
A)
80 J
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B)
0.08 J
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C)
0.8 J
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D)
8 J
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question_answer 24) Resistance of rod is \[1\Omega \]. It is bent in the form of square. What is the resistance across adjoint corners ?
A)
\[1\,\Omega \]
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B)
\[3\,\Omega \]
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C)
\[\frac{3}{16}\Omega \]
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D)
\[\frac{3}{4}\Omega \]
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question_answer 25)
A capacitor of capacitance\[1\,\mu F\] is filled with two dielectrics of dielectric constants 4 and 6. What is the new capacitance?
A)
\[10\,\mu F\]
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B)
\[5\,\mu F\]
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C)
\[4\,\mu F\]
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D)
\[7\,\mu F\]
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question_answer 26) The focal length of lens is 5 cm. If die least distance of distinct vision is 25 cm the magnification is:
A)
2.1
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B)
1
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C)
1.1
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D)
6
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question_answer 27) The critical angle for a medium is \[45{}^\circ \]. The refractive index will be:
A)
\[\frac{2}{\sqrt{3}}\]
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B)
\[\frac{\sqrt{3}}{2}\]
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C)
\[\sqrt{2}\]
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D)
\[\frac{1}{\sqrt{2}}\]
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question_answer 28) The specific resistance of wire of length 1 m, area .of cross-section \[0.5\,{{m}^{2}}\] is \[25\,\mu \Omega \,m\]. The resistance of the wire will be:
A)
\[5\times {{10}^{-5}}\,\Omega \]
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B)
\[3\times {{10}^{-6}}\,\Omega \]
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C)
\[46\times {{10}^{6}}\,\Omega \]
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D)
\[2\times {{10}^{6}}\,\Omega \]
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question_answer 29) Two identical wires A and B have the same length L and carry the same current \[\text{I}\] Wire A is bent into a circle of radius R and wire B is bent to form a square of side a. If \[{{B}_{1}}\] and\[{{B}_{2}}\] are the values of magnetic induction at the centre of the circle and the centre of the square respectively, then the ratio of\[{{\text{B}}_{\text{1}}}\text{/}{{\text{B}}_{\text{2}}}\] is :
A)
\[\frac{{{\pi }^{2}}}{8}\]
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B)
\[\frac{{{\pi }^{2}}}{8\sqrt{2}}\]
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C)
\[\frac{{{\pi }^{2}}}{16}\]
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D)
\[\frac{{{\pi }^{2}}}{16\sqrt{2}}\]
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question_answer 30) The force acting on a pole of pole strength 1 Am is \[{{10}^{-4}}N\]. The magnetic field at that point is:
A)
\[\text{11 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-4}}}\text{T}\]
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B)
\[\text{10 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-4}}}\text{T}\]
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C)
\[\text{0}\text{.1 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-4}}}\text{T}\]
done
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D)
\[\text{1 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-4}}}\text{T}\]
done
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question_answer 31) A tuning fork produces S beats/s with another tuning fork B of frequency 256 Hz. On filing fork A only 2 beats are heard per second, the frequency of A before filing is:
A)
251 Hz
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B)
254 Hz
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C)
261 Hz
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D)
256 Hz
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question_answer 32) Number of photons of wavelength 600 nm emitted per second by an electric bulb of power 50 W is: (Take \[h=6.6\times {{10}^{-34}}J-s\])
A)
\[{{10}^{19}}\]
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B)
\[2\times {{10}^{20}}\]
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C)
60
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D)
zero
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question_answer 33) Half-life of radioactive substance is 3.20 h. What is the time taken for a 75% of substance to be used ?
A)
6.38 h
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B)
12 h
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C)
4.18 days
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D)
1.2 days
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question_answer 34) TV waves have wavelength range of 1-10 m. Their frequency range will be:
A)
3-30 MHz
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B)
30-300 MHz
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C)
3-3000 MHz
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D)
300-3000 MHz
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question_answer 35) Reactance of a capacitor of capacitance\[C\mu F\] for AC frequency\[\frac{400}{\pi }\]0 Hz is\[25\,\Omega .\]The value of C is:
A)
\[50\,\mu F\]
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B)
\[25\,\mu F\]
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C)
\[100\,\mu F\]
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D)
\[75\,\mu F\]
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question_answer 36) An electron and a proton have same de-Broglie wavelength, then kinetic energy of the electron is:
A)
infinite
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B)
equal to KE of proton
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C)
zero
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D)
greater than KE of proton
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question_answer 37) Relative permeability of iron is 5500. Its magnetic susceptibility is:
A)
5501
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B)
\[5500\times {{10}^{-7}}\]
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C)
\[5500\times {{10}^{7}}\]
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D)
5499
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question_answer 38) An example for diamagnetic substances is :
A)
gold
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B)
nickel
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C)
aluminium
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D)
iron
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question_answer 39) The impurity atom that should be added to germanium to make it n-type semiconductor
A)
aluminium
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B)
phosphorus
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C)
boron
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D)
indium
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question_answer 40) An atom of mass number A and atomic number Z emits successively an \[\alpha \]-particle and a \[\text{-}\]particle and \[\text{-}\]rays. The mass number and atomic number of the end product, will be:
A)
A - 4, 7 - 1
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B)
A - 4, Z - 2
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C)
A - 1, Z - 4
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D)
A, Z + 1
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question_answer 41) When R is Rydbergs constant for hydrogen, the wave number of the first line in the Lyman series is:
A)
\[\frac{R}{4}\]
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B)
\[\frac{3R}{4}\]
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C)
\[\frac{R}{2}\]
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D)
\[2R\]
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question_answer 42) A source of sound of frequency 256 Hz is moving towards a wall with a velocity of 5 m/s. The velocity of sound is 330 m/s. The number of beats heard by an observer moving along with the sounding object is:
A)
\[256\times \frac{330}{325}-256\]
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B)
\[256-\frac{256\times 330}{335}\]
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C)
\[\frac{256\times 330}{325}-\frac{256\times 330}{325}\]
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D)
\[256\times \frac{335}{325}-256\]
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question_answer 43)
The effective capacitance between the points P and Q in the circuit shown in figure, is (capacitance of each capacitor is\[1\mu F\]):
A)
\[0.4\mu F\]
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B)
\[3\mu F\]
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C)
\[4\mu F\]
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D)
\[2\mu F\]
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question_answer 44) What is the resistance of a 40 W lamp which is lighted at full brilliance by a current of \[\frac{\text{1}}{\text{3}}\text{A}\]?
A)
\[450\,\Omega \]
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B)
\[360\,\Omega \]
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C)
\[120\,\Omega \]
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D)
\[13.33\,\Omega \]
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question_answer 45) The energy gap of silicon is 1.14 eV. The maximum wavelength at which silicon will begin absorbing energy is:
A)
\[18.855\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
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B)
\[108.55\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
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C)
\[1085.5\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
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D)
\[10855\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
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question_answer 46)
Assuming that the junction diode is ideal, the current through the diode is:
A)
0.02 A
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B)
2 A
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C)
0.2 A
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D)
None of these
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question_answer 47) With a resistance R connected in series with galvanometer of resistance \[100\,\Omega ,\] it acts as a voltmeter of range 0 - V. to double the range a resistance of \[1000\Omega ,\] is to be connected in series with R. then the value of R is:
A)
\[400\,\Omega \]
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B)
\[900\,\Omega \]
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C)
\[1100\,\Omega \]
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D)
\[1000\,\Omega \]
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question_answer 48) An \[\alpha \]-particle can be represented by a:
A)
hydrogen atom
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B)
helium ion
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C)
hydrogen ion
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D)
helium nucleus
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question_answer 49) Coefficients of coupling between two coils of self-inductances \[{{L}_{1}}\] and \[{{L}_{1}}\] is unity. It means:
A)
50% flux of \[{{L}_{1}}\] is linked with \[{{L}_{2}}\]
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B)
100% flux of \[{{L}_{1}}\] is linked with \[{{L}_{2}}\]
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C)
\[\sqrt{{{L}_{1}}}\] time of flux \[{{L}_{1}}\] is linked with \[{{L}_{2}}\]
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D)
None of above
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question_answer 50) State which of the following is correct?
A)
\[{{g}_{m}}=\mu \times {{r}_{p}}\]
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B)
\[{{r}_{p}}=\mu \times {{g}_{r}}\]
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C)
\[\mu ={{r}_{p}}\times {{g}_{m}}\]
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D)
\[\mu =\frac{{{r}_{p}}}{{{g}_{m}}}\]
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question_answer 51) Modem periodic table is based on atomic number of the elements. The significance of atomic number was proved by the experiment of:
A)
discovery of X-ray by Roentgen
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B)
Mullikans oil drop experiment
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C)
Braggs work on X-ray diffraction
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D)
Mosleys work on X-ray spectra
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question_answer 52) The shape of \[\text{Xe}{{\text{O}}_{\text{4}}}\]molecule is tetrahedral due to:
A)
\[sp\]
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B)
\[s{{p}^{2}}\]
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C)
\[s{{p}^{3}}\]
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D)
none of these
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question_answer 53) The monomer of natural rubber is:
A)
isoprene
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B)
adipic acid
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C)
vinyl chloride
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D)
acrylonitrile
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question_answer 54) lodoform test is given by:
A)
1-propanol
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B)
methanol
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C)
2-butanol
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D)
1-butanol
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question_answer 55) \[\text{0}\text{.3M }{{\text{H}}_{\text{3}}}\text{P}{{\text{O}}_{\text{3}}}\]shows the normality of:
A)
0.3
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B)
0.6
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C)
0.9
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D)
0.1
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question_answer 56) At 300 K, the ratio of the average molecular kinetic energy of \[\text{U}{{\text{F}}_{\text{6}}}\]to that of \[{{\text{H}}_{2}}\]is:
A)
2 : 7
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B)
7 : 2
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C)
6 : 2
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D)
1 : 1
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question_answer 57) Graphite and diamond are:
A)
polymorphs
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B)
allotropes
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C)
different crystal structure
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D)
all of the above
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question_answer 58) The correct alternate for the cells spontaneous reaction is:
A)
\[\text{E}_{\text{cell}}^{\text{o}}\]cell should be infinite
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B)
\[\text{E}_{\text{cell}}^{\text{o}}\]cell should be zero,
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C)
\[\text{E}_{\text{cell}}^{\text{o}}\] cell should be positive
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D)
\[\text{E}_{\text{cell}}^{\text{o}}\] cell should be negative
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question_answer 59) The maximum amount of sulphur is given by:
A)
\[AgS({{K}_{sp}}=6\times {{10}^{-29}})\]
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B)
\[CuS\,({{K}_{sp}}=4\times {{10}^{-27}})\]
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C)
\[PbS\,({{K}_{sp}}=8\times {{10}^{-28}})\]
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D)
\[ZnS\,({{K}_{sp}}=8\times {{10}^{-30}})\]
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question_answer 60) The highest electronegative element is:
A)
carbon
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B)
oxygen
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C)
fluorine
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D)
nitrogen
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question_answer 61) Bromine can be liberated from \[KBr\] solution by the action of:
A)
chlorine
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B)
\[\text{ }\!\!~\!\!\text{ NaCl}\]
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C)
\[\text{KI}\]
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D)
iodine solution
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question_answer 62) The aldehyde can be detected by which of the following?
A)
Tollens reagent
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B)
Fehlings solution
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C)
Schiffs reagent
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D)
All of the above
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question_answer 63) Froth floatation method is used for the concentration of:
A)
sulphide ore
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B)
oxide ore
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C)
chloride ore
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D)
amalgams
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question_answer 64) The zero dipole moment is shown by:
A)
\[cis-\]1, 2-dichloroethylene
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B)
trans-1, 2- dichloroethylene
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C)
1, 1- dichloroethylene
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D)
none of the above
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question_answer 65) The correct order of electron affinities of S, N,O and Cl is:
A)
\[O=Cl<S=N\]
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B)
\[O<S<Cl<N\]
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C)
\[N<O<S<Cl\]
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D)
\[O<N<Cl<S\]
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question_answer 66) In isotones the atomic number and mass numbers are:
A)
same
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B)
different
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C)
equal
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D)
zero
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question_answer 67) One mole of \[C{{O}_{2}}\]contains:
A)
\[18.1\times {{10}^{23}}\]molecules of\[\text{C}{{\text{O}}_{\text{2}}}\]
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B)
\[~6.02\text{ }\times \,\,{{10}^{23}}\] atom of carbon
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C)
3 g of carbon
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D)
\[~6.02\times {{10}^{23}}\] atoms of oxygen
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question_answer 68) The interhalogen compound not formed is:
A)
\[ICl\]
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clear
B)
\[I{{F}_{5}}\]
done
clear
C)
\[Br{{F}_{5}}\]
done
clear
D)
\[BrC{{l}_{7}}\]
done
clear
View Answer play_arrow
question_answer 69) The element prepared by electrolysis is:
A)
sodium
done
clear
B)
chlorine
done
clear
C)
fluorine
done
clear
D)
bromine
done
clear
View Answer play_arrow
question_answer 70) The element chlorine consists of a mixture of \[\text{75}\text{.53 }\!\!%\!\!\text{ }\,{{\,}_{\text{17}}}\text{C}{{\text{l}}^{\text{35}}}\]and \[24.47%\,{{\,}_{17}}C{{l}^{37}}\]having a mass of 34.97 amu and 36.95 amu, respectively. The atomic weight of chloride is:
A)
35.25
done
clear
B)
35.45
done
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C)
36.25
done
clear
D)
36.45
done
clear
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question_answer 71) The solubility of \[A{{g}_{2}}S\]is \[[{{K}_{sp}}=256\times {{10}^{-6}}]:\]
A)
\[4\times {{10}^{-2}}\]
done
clear
B)
\[4\times {{10}^{-3}}\]
done
clear
C)
\[0.4\times {{10}^{-2}}\]
done
clear
D)
\[0.4\times {{10}^{-3}}\]
done
clear
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question_answer 72) Marsh gas contains:
A)
\[{{C}_{2}}{{H}_{4}}\]
done
clear
B)
\[{{C}_{2}}{{H}_{6}}\]
done
clear
C)
\[{{C}_{2}}{{H}_{2}}\]
done
clear
D)
\[C{{H}_{4}}\]
done
clear
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question_answer 73) The ion present in Nesslers reagent is:
A)
\[Hg{{I}_{2}}\]
done
clear
B)
\[HgI_{4}^{2-}\]
done
clear
C)
\[H{{g}^{2+}}\]
done
clear
D)
\[H{{g}^{+}}\]
done
clear
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question_answer 74) Vitamin \[{{\text{B}}_{\text{12}}}\] contains:
A)
Cu
done
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B)
Fe
done
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C)
Mg
done
clear
D)
Co
done
clear
View Answer play_arrow
question_answer 75) 720 g of water contains how many moles of water:
A)
20
done
clear
B)
40
done
clear
C)
60
done
clear
D)
80
done
clear
View Answer play_arrow
question_answer 76) \[Zn(s)+C{{u}^{2+}}(aq)\xrightarrow{{}}Cu(s)+Z{{n}^{2+}}(aq)\] The emf of above reaction is 1.10 V at \[\text{25}{{\,}^{\text{o}}}\text{C}\text{.}\] Find emf of cell well when \[[Z{{n}^{2+}}]=0.1\,M\]\[[C{{u}^{2+}}]=0.1\,M\]
A)
\[1.10\text{ V}\]
done
clear
B)
\[~-1.10\text{ V}\]
done
clear
C)
\[~0.110\text{ V}\]
done
clear
D)
\[~-0.110\text{ V}\]
done
clear
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question_answer 77) The colour of iodine solution is discharged by shaking it with aqueous solution of:
A)
sodium sulphite
done
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B)
sulphuric acid
done
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C)
sodium sulphate
done
clear
D)
sodium thiosulphite
done
clear
View Answer play_arrow
question_answer 78) Nitrobenzene on treatment with \[\text{B}{{\text{r}}_{\text{2}}}\]produce
A)
o, p-bromobenzene
done
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B)
p-bromonitrobenzene
done
clear
C)
m-bromonitrobenzene
done
clear
D)
none of the above
done
clear
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question_answer 79) The entropy change \[(\Delta S)\] in a system increase as:
A)
solid < liquid < gas
done
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B)
liquid < gas < solid
done
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C)
solid < gas < liquid
done
clear
D)
gas < solid < liquid
done
clear
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question_answer 80) The element having maximum hydration energy is:
A)
Na
done
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B)
K
done
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C)
Rb
done
clear
D)
Cs
done
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View Answer play_arrow
question_answer 81) The total number of electrons present in all the p-orbitals of bromine is:
A)
7
done
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B)
17
done
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C)
27
done
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D)
37
done
clear
View Answer play_arrow
question_answer 82) The rate constant of third order reaction is:
A)
\[\text{mol}\,{{\text{L}}^{-1}}{{\text{S}}^{-1}}\]
done
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B)
\[\text{mo}{{\text{l}}^{-2}}\,{{\text{L}}^{2}}{{T}^{-1}}\]
done
clear
C)
\[\text{mo}{{\text{l}}^{-1}}\,\text{L}{{\text{s}}^{-1}}\]
done
clear
D)
\[mo{{l}^{-2}}{{L}^{-1}}{{S}^{-1}}\]
done
clear
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question_answer 83) By the reduction of carbonyl compounds the alcohol not obtained is:
A)
primary alcohol
done
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B)
secondary alcohol
done
clear
C)
tertiary alcohol
done
clear
D)
all of the above
done
clear
View Answer play_arrow
question_answer 84) The mixture of gases used for asthma patients is:
A)
\[{{O}_{2}}+He\]
done
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B)
\[{{O}_{2}}+Ne\]
done
clear
C)
\[{{O}_{2}}+{{H}_{2}}\]
done
clear
D)
\[{{O}_{2}}+Ar\]
done
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View Answer play_arrow
question_answer 85) Acetate ion have:
A)
two carbon, oxygen double bond
done
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B)
two carbon, oxygen single bond
done
clear
C)
one carbon, oxygen single bond and on carbon, oxygen double bond
done
clear
D)
none of the above
done
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View Answer play_arrow
question_answer 86) The difference between energy of product an energy of reactant is called:
A)
entropy
done
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B)
heat content
done
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C)
heat of fusion
done
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D)
activation energy
done
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View Answer play_arrow
question_answer 87) The most covalent bond is:
A)
\[C-S\]
done
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B)
\[C-O\]
done
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C)
\[C-F\]
done
clear
D)
\[C-Br\]
done
clear
View Answer play_arrow
question_answer 88) A Solution is made up of 10 mL of \[\text{0}\text{.1}\,\text{N}\,\text{NaOH}\]and 10 mL of \[\text{0}\text{.05}\,\text{N}{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\text{.}\]The \[\text{pH}\]of solution is:
A)
7
done
clear
B)
\[>7\]
done
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C)
\[<7\]
done
clear
D)
None of these
done
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View Answer play_arrow
question_answer 89) The addition of 1% alcohol to chloroform acts as a:
A)
positive catalyst
done
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B)
negative catalyst
done
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C)
autocatalyst
done
clear
D)
none of these
done
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question_answer 90) \[C{{H}_{3}}-CH=CH-C{{H}_{3}}\]on ozonolysis produce:
A)
acetaldehyde
done
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B)
mixture of acetaldehyde and ethyl alcohol
done
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C)
ethyl alcohol
done
clear
D)
mixture of acetone and acetaldehyde
done
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View Answer play_arrow
question_answer 91) Nitroalkane which do not exhibit tautomerism is:
A)
\[{{3}^{o}}-\]nitroalkane
done
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B)
\[{{2}^{o}}-\]nitroalkane
done
clear
C)
\[{{1}^{o}}-\]nitroalkane
done
clear
D)
all of these
done
clear
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question_answer 92) The paramagnetic element is:
A)
\[N{{i}^{2+}}\]
done
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B)
\[S{{c}^{3+}}\]
done
clear
C)
\[C{{u}^{+}}\]
done
clear
D)
\[Z{{n}^{2+}}\]
done
clear
View Answer play_arrow
question_answer 93) Addition of HBr on propene produce:
A)
\[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}Br\]
done
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B)
\[C{{H}_{2}}BrC{{H}_{2}}C{{H}_{3}}\]
done
clear
C)
\[C{{H}_{3}}-\underset{Br}{\mathop{\underset{|}{\mathop{CH}}\,}}\,-C{{H}_{3}}\]
done
clear
D)
none of the above
done
clear
View Answer play_arrow
question_answer 94) Which of the following is not a planar compound?
A)
\[{{C}_{2}}{{H}_{2}}\]
done
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B)
\[N{{H}_{3}}\]
done
clear
C)
\[{{N}_{2}}O\]
done
clear
D)
None of these
done
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question_answer 95) The saturated pentane have total number of isomers are:
A)
5
done
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B)
4
done
clear
C)
6
done
clear
D)
3
done
clear
View Answer play_arrow
question_answer 96) \[Mn{{O}_{2}}(s)+4HCl(aq)\xrightarrow{Heat}\] \[MnC{{l}_{2}}(aq)+2{{H}_{2}}O+C{{l}_{2}}(g)\] The equivalent weight of \[Mn{{O}_{2}}\]in the above reaction is:
A)
23.4
done
clear
B)
33.6
done
clear
C)
43.5
done
clear
D)
53.6
done
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View Answer play_arrow
question_answer 97) Tetraethyl lead is used as:
A)
fire extinguisher
done
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B)
mosquito repellent
done
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C)
petroleum additive
done
clear
D)
none of the above
done
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question_answer 98) 4 moles of A are mixed with 4 moles of B and 2 moles of C are formed at equilibrium according to following reaction, \[A+BC+D.\]The value of equilibrium constant is:
A)
1
done
clear
B)
4
done
clear
C)
\[\frac{1}{4}\]
done
clear
D)
\[\frac{1}{2}\]
done
clear
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question_answer 99) The vapour pressure of benzene at a certain temperature is 200 mm Hg. At the same temperature the vapour pressure of a solution containing 2 g of non volatile non electrolyte solid in 78 g of benzene is 195 mm Hg. The molecular weight of solid is:
A)
20
done
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B)
40
done
clear
C)
60
done
clear
D)
80
done
clear
View Answer play_arrow
question_answer 100) The metal not present in hard water is:
A)
Ca
done
clear
B)
Na
done
clear
C)
Mg
done
clear
D)
Fe
done
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View Answer play_arrow
question_answer 101) The value of \[{{(-i)}^{1/3}}\] is:
A)
\[\frac{1+\sqrt{3}i}{2}\]
done
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B)
\[\frac{1-\sqrt{3}i}{2}\]
done
clear
C)
\[\frac{-\sqrt{3}-i}{2}\]
done
clear
D)
None of these
done
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question_answer 102) If \[i=\sqrt{-1},\]then \[1+{{i}^{2}}+{{i}^{3}}-{{i}^{6}}+{{i}^{8}}\] is equal to:
A)
\[2-i\]
done
clear
B)
1
done
clear
C)
3
done
clear
D)
\[-1\]
done
clear
View Answer play_arrow
question_answer 103) The series \[\frac{5}{\sqrt{7}},\frac{6}{\sqrt{7}},\sqrt{7},...\]is:
A)
HP
done
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B)
GP
done
clear
C)
AP
done
clear
D)
none of these
done
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View Answer play_arrow
question_answer 104) 8th term of the series \[2\sqrt{2}+\sqrt{2}+0+...\]will be:
A)
\[-5\sqrt{2}\]
done
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B)
\[5\sqrt{2}\]
done
clear
C)
\[-10\sqrt{2}\]
done
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D)
\[10\sqrt{2}\]
done
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View Answer play_arrow
question_answer 105) The roots of the equation \[a({{x}^{2}}+1)-({{a}^{2}}+1)x=0\]are:
A)
\[a,\frac{1}{a}\]
done
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B)
\[a,2a\]
done
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C)
\[a,\frac{1}{2a}\]
done
clear
D)
none of these
done
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question_answer 106)
The boolean function of the input/output table as shown below is:
Input
Output
\[{{x}_{1}}\]
\[{{x}_{2}}\]
\[{{x}_{3}}\]
S
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
0
1
0
0
0
0
0
1
A)
\[f({{x}_{1}},{{x}_{2}},{{x}_{3}})={{x}_{1}}{{x}_{2}}{{x}_{3}}+{{x}_{1}}{{x}_{2}}x_{3}^{}\]\[+\,{{x}_{1}}x{{}_{2}}{{x}_{3}}+x{{}_{1}}x{{}_{2}}x{{}_{3}}\]
done
clear
B)
\[f({{x}_{1}},{{x}_{2}}{{x}_{3}})=x{{}_{1}}x{{}_{2}}x{{}_{3}}+x{{}_{1}}x{{}_{2}}x{{}_{3}}\]\[+\,x{{}_{1}}x{{ }_{2}}x{{}_{3}}+{{x}_{1}}{{x}_{2}}{{x}_{3}}\]
done
clear
C)
\[f({{x}_{1}},{{x}_{2}},{{x}_{3}})={{x}_{1}}x{{}_{2}}x{{}_{3}}+x{{}_{1}}{{x}_{2}}x{{}_{3}}\]
done
clear
D)
\[f({{x}_{1}},{{x}_{2}},{{x}_{3}})=x{{}_{1}}{{x}_{2}}{{x}_{3}}+{{x}_{1}}x{{}_{2}}{{x}_{3}}\]
done
clear
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question_answer 107) The number of a triangle that can be formed by 5 points in a line and 3 points on a parallel line, is:
A)
\[{{\,}^{8}}{{C}_{3}}\]
done
clear
B)
\[{{\,}^{8}}{{C}_{3}}-{{\,}^{5}}{{C}_{3}}\]
done
clear
C)
\[{{\,}^{8}}{{C}_{3}}-{{\,}^{5}}{{C}_{3}}-1\]
done
clear
D)
none of these
done
clear
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question_answer 108) In how many ways can 5 keys be put in a ring:
A)
\[\frac{1}{2}4!\]
done
clear
B)
\[\frac{1}{2}5!\]
done
clear
C)
\[4!\]
done
clear
D)
\[5!\]
done
clear
View Answer play_arrow
question_answer 109) The 6th term in expansion of \[{{\left( 2{{x}^{2}}-\frac{1}{3{{x}^{2}}} \right)}^{10}},\]is:
A)
\[\frac{4580}{17}\]
done
clear
B)
\[-\frac{896}{27}\]
done
clear
C)
\[\frac{5580}{17}\]
done
clear
D)
none of these
done
clear
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question_answer 110) If \[n=2m,\]then the middle term in the expansion of \[{{(x+a)}^{n}}\]will be:
A)
\[m\,th\]
done
clear
B)
\[(n-1)\,th\]
done
clear
C)
\[(m+1)th\]
done
clear
D)
\[(m+2)th\]
done
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View Answer play_arrow
question_answer 111) In the expailsion of\[\frac{{{e}^{4x}}-1}{{{e}^{2x}}}\]the coefficient of \[{{x}^{2}}\]is:
A)
\[\frac{1}{2}\]
done
clear
B)
1
done
clear
C)
0
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 112) \[\left( \frac{a-b}{a} \right)+\frac{1}{2}{{\left( \frac{a-b}{a} \right)}^{2}}+\frac{1}{3}{{\left( \frac{a-b}{a} \right)}^{3}}+...\]
A)
\[{{\log }_{e}}(a-b)\]
done
clear
B)
\[{{\log }_{e}}\left( \frac{a}{b} \right)\]
done
clear
C)
\[{{\log }_{e}}\left( \frac{b}{a} \right)\]
done
clear
D)
\[{{e}^{\left( \frac{a-b}{a} \right)}}\]
done
clear
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question_answer 113) The number of solutions of equations \[x+y-z=0,3x-y-z=0,x-3y+1=0\]is:
A)
0
done
clear
B)
1
done
clear
C)
2
done
clear
D)
infinite
done
clear
View Answer play_arrow
question_answer 114) If A is involutory matrix and I is unit matrix of same order, then \[(I-A)(I+A)\] is:
A)
zero matrix
done
clear
B)
A
done
clear
C)
\[I\]
done
clear
D)
2A
done
clear
View Answer play_arrow
question_answer 115) If \[\sin \theta +\cos ec\theta =2,\]then \[{{\sin }^{2}}\theta +\cos {{\sec }^{2}}\theta \] is equal to:
A)
1
done
clear
B)
4
done
clear
C)
2
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 116) If \[(A-B)=\frac{\pi }{4},\]then \[(1+\tan A)(1-\tan B)\] equal to:
A)
1
done
clear
B)
2
done
clear
C)
\[~-1\]
done
clear
D)
\[-2\]
done
clear
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question_answer 117) If \[\sin \theta +\cos \theta =1,\] then the general value of \[\theta \] is:
A)
\[2n\pi \]
done
clear
B)
\[n\pi +{{(-1)}^{n}}\frac{\pi }{4}-\frac{\pi }{4}\]
done
clear
C)
\[2n\pi +\frac{\pi }{2}\]
done
clear
D)
none of these
done
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question_answer 118) If\[\sin \theta =\sqrt{3}\cos \theta ,-\pi <\theta <0,\] then \[\theta \]is equal to:
A)
\[-\frac{5\pi }{6}\]
done
clear
B)
\[-\frac{4\pi }{6}\]
done
clear
C)
\[\frac{4\pi }{6}\]
done
clear
D)
\[\frac{5\pi }{6}\]
done
clear
View Answer play_arrow
question_answer 119) If \[{{\cos }^{-1}}\left( \frac{1}{x} \right)=\theta ,\] then tan 9is equal to:
A)
\[\frac{1}{\sqrt{{{x}^{2}}}-1}\]
done
clear
B)
\[\sqrt{{{x}^{2}}+1}\]
done
clear
C)
\[\sqrt{1-{{x}^{2}}}\]
done
clear
D)
\[\sqrt{{{x}^{2}}-1}\]
done
clear
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question_answer 120) If\[\cos (2{{\sin }^{-1}}x)=\frac{1}{9},\] then \[x\] is equal to:
A)
only\[2/3\]
done
clear
B)
only\[-2/3\]
done
clear
C)
\[-2/3\]or \[2/3\]
done
clear
D)
neither 2/3 nor \[-2/3\]
done
clear
View Answer play_arrow
question_answer 121) If p and q are two statements, then statement \[p\Rightarrow q\wedge \tilde{\ }q\]is:
A)
tautology
done
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B)
contradiction
done
clear
C)
neither tautology nor contradiction
done
clear
D)
none of the above
done
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question_answer 122) Three points \[(p+1,1),(2p+1,3)\] and \[(2p+2,2p)\] are collinear, the value of p is equal to:
A)
\[-1\]
done
clear
B)
1
done
clear
C)
2
done
clear
D)
0
done
clear
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question_answer 123) The distance between the lines \[y=mx+{{c}_{1}}\]and \[y=m\text{ }x+{{C}_{2}}\]is:
A)
\[\frac{{{c}_{1}}-{{c}_{2}}}{\sqrt{{{m}^{2}}+1}}\]
done
clear
B)
\[\frac{{{c}_{2}}-{{c}_{1}}}{\sqrt{{{m}^{2}}+1}}\]
done
clear
C)
\[\frac{{{c}_{2}}\tilde{\ }{{c}_{1}}}{\sqrt{{{m}^{2}}+1}}\]
done
clear
D)
0
done
clear
View Answer play_arrow
question_answer 124) The lines \[(p-q)x+(q-r)y+(r-p)=0\] \[(q-r)x+(r-p)y+(p-q)=0\] \[(r-p)x+(p-q)y+(q-r)=0\]are:
A)
parallel
done
clear
B)
perpendicular
done
clear
C)
concurrent
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 125) The equation \[{{(x+y)}^{2}}-({{x}^{2}}+{{y}^{2}})=0\] represents:
A)
a circle
done
clear
B)
two lines
done
clear
C)
two parallel lines
done
clear
D)
two mutually perpendicular lines
done
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View Answer play_arrow
question_answer 126) Two lines represented by equation \[{{x}^{2}}++xy+{{y}^{2}}=0\] are:
A)
coincident
done
clear
B)
parallel
done
clear
C)
mutually perpendicular
done
clear
D)
imaginary
done
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question_answer 127) The equation of the diameter of the circle \[{{x}^{2}}+{{y}^{2}}+2x-4y-11=0\] which bisects the chords intercepted on the line \[2x-y+3=0\] is:
A)
\[x+y-7=0\]
done
clear
B)
\[2x-y-5=0\]
done
clear
C)
\[~x+2y-3=0\]
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 128) The angle between the two tangents from the origin to the circle \[{{(x-1)}^{2}}+{{(y+1)}^{2}}=25\]is:
A)
0
done
clear
B)
\[\pi /3\]
done
clear
C)
\[\pi /6\]
done
clear
D)
\[\pi /2\]
done
clear
View Answer play_arrow
question_answer 129) The equation \[13[{{(x-1)}^{2}}+{{(y-2)}^{2}}]=3{{(2x+3y-2)}^{2}}\] represents:
A)
parabola
done
clear
B)
ellipse
done
clear
C)
hyperbola
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 130) The equation of the hyperbola whose directrix is \[x+2y=1,\]focus \[(2,1)\] and eccentricity 2 will be:
A)
\[{{x}^{2}}-16xy-11{{y}^{2}}-12x+6y+21=0\]
done
clear
B)
\[3{{x}^{2}}+16xy+15{{y}^{2}}-4x-14y+1=0\]
done
clear
C)
\[{{x}^{2}}+16xy+11{{y}^{2}}-12x+6y+21=0\]
done
clear
D)
none of the above
done
clear
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question_answer 131) The angle between the lines whose direction ratios are \[a,\text{ }b,\text{ }c\]and \[b-c,c-a,a-b\]is:
A)
\[{{\cos }^{-1}}\left( \frac{1}{abc} \right)\]
done
clear
B)
\[{{\sin }^{-1}}\left( \frac{1}{abc} \right)\]
done
clear
C)
\[{{0}^{o}}\]
done
clear
D)
\[{{90}^{o}}\]
done
clear
View Answer play_arrow
question_answer 132) The angle between the planes \[3x-4y+5z=0\] and \[2x-y-2z=5\]is:
A)
\[\frac{\pi }{3}\]
done
clear
B)
\[\frac{\pi }{2}\]
done
clear
C)
\[\frac{\pi }{6}\]
done
clear
D)
none of these
done
clear
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question_answer 133) The vector \[2\hat{i}+\hat{j}-\hat{k}\]is perpendicular to \[\hat{i}-4\hat{j}+\lambda \hat{k},\]then \[\lambda \] is equal to:
A)
0
done
clear
B)
1
done
clear
C)
\[-2\]
done
clear
D)
\[-3\]
done
clear
View Answer play_arrow
question_answer 134) If the angle between the unit vectors \[\vec{a}\]and \[\vec{b}\]be \[{{60}^{o}},\] then \[(2\vec{a}-3\vec{b}).(4\vec{a}+\vec{b})\]is equal to:
A)
0
done
clear
B)
5
done
clear
C)
15
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 135) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{x({{e}^{x}}-1)}{1-\cos x}\]is equal to:
A)
0
done
clear
B)
\[\infty \]
done
clear
C)
2
done
clear
D)
\[{{e}^{2}}\]
done
clear
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question_answer 136) Domain of the function \[f(x)=\frac{1}{\sqrt{x+2}}\]is:
A)
R
done
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B)
\[(-2,\infty )\]
done
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C)
\[(2,\infty )\]
done
clear
D)
\[(0,\infty )\]
done
clear
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question_answer 137) The derivative of \[\log (\tan x)\]is equal to:
A)
\[2\text{ }sec\text{ }2x\]
done
clear
B)
\[2\cos ec2x\]
done
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C)
\[\sec 2x\]
done
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D)
\[\cos ec2x\]
done
clear
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question_answer 138) The derivative of \[{{\cos }^{-1}}\frac{x-{{x}^{-1}}}{x+{{x}^{-1}}}\]is equal to:
A)
\[\frac{1}{1+{{x}^{2}}}\]
done
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B)
\[-\frac{1}{1+{{x}^{2}}}\]
done
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C)
\[\frac{2}{1+{{x}^{2}}}\]
done
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D)
\[-\frac{2}{1+{{x}^{2}}}\]
done
clear
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question_answer 139) \[\int_{{}}^{{}}{\frac{{{x}^{2}}dx}{{{(a+bx)}^{2}}}}\]is equal to:
A)
\[\frac{1}{{{b}^{2}}}\left[ x+\frac{2a}{b}log(a+bx)-\frac{{{a}^{2}}}{b}\left( \frac{1}{a+bx} \right) \right]+c\]
done
clear
B)
\[\frac{1}{{{b}^{2}}}\left[ x-\frac{2a}{b}log(a+bx)+\frac{{{a}^{2}}}{b}\left( \frac{1}{a+bx} \right) \right]+c\]
done
clear
C)
\[\frac{1}{{{b}^{2}}}\left[ x+\frac{2a}{b}log(bx+a)+\frac{{{a}^{2}}}{b}.\frac{1}{a+bx} \right]+c\]
done
clear
D)
\[\frac{1}{{{b}^{2}}}\left[ x+\frac{a}{b}-\frac{2a}{b}\log (a+bx)-\frac{{{a}^{2}}}{b}\left( \frac{1}{a+bx} \right) \right]+c\]
done
clear
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question_answer 140) \[\int_{{}}^{{}}{\frac{dx}{1+{{e}^{x}}}}\]is equal to:
A)
\[\log (1+{{e}^{x}})+c\]
done
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B)
\[-\log (1+{{e}^{-x}})+c\]
done
clear
C)
\[-\log (1-{{e}^{-x}})+c\]
done
clear
D)
\[\log ({{e}^{-x}}+{{e}^{-2x}})+c\]
done
clear
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question_answer 141) \[\,\int_{0}^{a}{\frac{{{x}^{4}}dx}{{{({{a}^{2}}+{{x}^{2}})}^{4}}}}\]is equal to:
A)
\[\frac{1}{16{{a}^{3}}}\left( \frac{\pi }{4}-\frac{1}{3} \right)\]
done
clear
B)
\[\frac{1}{16{{a}^{3}}}\left( \frac{\pi }{4}+\frac{1}{3} \right)\]
done
clear
C)
\[\frac{1}{16}{{a}^{3}}\left( \frac{\pi }{4}-\frac{1}{3} \right)\]
done
clear
D)
\[\frac{{{a}^{3}}}{16}\left( \frac{\pi }{4}+\frac{1}{3} \right)\]
done
clear
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question_answer 142) Area bounded by the curve \[{{x}^{4}}=4y\]and the straight line \[x=4y-2\]is:
A)
\[\frac{\text{8}}{\text{9}}\,\text{sq}\,\text{unit}\]
done
clear
B)
\[\frac{9}{8}\,\text{sq}\,\text{unit}\]
done
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C)
\[\frac{4}{3}\,\text{sq}\,\text{unit}\]
done
clear
D)
none of these
done
clear
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question_answer 143) The order and degree of the differential equation \[y=x\frac{dy}{dx}+\sqrt{{{a}^{2}}{{\left( \frac{dy}{dx} \right)}^{2}}+{{b}^{2}}}\]are:
A)
1, 2
done
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B)
2, 1
done
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C)
1, 1
done
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D)
2, 2
done
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question_answer 144) \[y=4\sin 3x\]is a solution of the differential equation:
A)
\[\frac{dy}{dx}+8y=0\]
done
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B)
\[\frac{dy}{dx}-8y=0\]
done
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C)
\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+9y=0\]
done
clear
D)
\[\frac{{{d}^{2}}y}{d{{x}^{2}}}-9y=0\]
done
clear
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question_answer 145) If A and B are two events such that \[A\subseteq B,\]then \[p\left( \frac{B}{A} \right)\]is equal to:
A)
0
done
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B)
\[1\]
done
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C)
\[\frac{1}{2}\]
done
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D)
\[\frac{1}{3}\]
done
clear
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question_answer 146) In shuffling a pack of playing cards, four are accidently dropped. The probability that the missing cards should be one from each suit, is:
A)
\[\frac{1}{{{\,}^{52}}{{C}_{4}}}\]
done
clear
B)
\[\frac{{{({{\,}^{13}}{{C}_{1}})}^{4}}}{{{\,}^{52}}{{C}_{4}}}\]
done
clear
C)
\[\frac{{{({{\,}^{13}}{{C}_{2}})}^{2}}}{{{\,}^{52}}{{C}_{4}}}\]
done
clear
D)
\[\frac{{{({{\,}^{13}}{{C}_{4}})}^{4}}}{{{\,}^{52}}{{C}_{4}}}\]
done
clear
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question_answer 147) If a point moves in a straight line so that its displacement s at time t is given by \[{{s}^{2}}=1+{{t}^{2}},\]then its acceleration at time t is:
A)
\[\frac{1}{{{s}^{3}}}\]
done
clear
B)
\[-\frac{1}{{{s}^{2}}}\]
done
clear
C)
\[\frac{1}{s}-\frac{{{t}^{2}}}{{{s}^{3}}}\]
done
clear
D)
\[\frac{1}{s}-\frac{1}{{{s}^{2}}}\]
done
clear
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question_answer 148) A stone is thrown vertically upwards with an initial velocity \[u.\]From the top of a tower reaches the ground with a velocity \[3u.\] The height of the tower is:
A)
\[\frac{3{{u}^{2}}}{g}\]
done
clear
B)
\[\frac{4{{u}^{2}}}{g}\]
done
clear
C)
\[\frac{6{{u}^{2}}}{g}\]
done
clear
D)
\[\frac{9{{u}^{2}}}{g}\]
done
clear
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question_answer 149) Two forces P and Q have a resultant R and the resolved part of R in the direction of P is of magnitude Q. Then the angle between the forces is:
A)
\[{{\sin }^{-1}}{{\left( \frac{P}{2Q} \right)}^{1/2}}\]
done
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B)
\[2{{\sin }^{-1}}{{\left( \frac{P}{2Q} \right)}^{1/2}}\]
done
clear
C)
\[{{\cos }^{-1}}{{\left( \frac{P}{2Q} \right)}^{1/2}}\]
done
clear
D)
\[2{{\cos }^{-1}}{{\left( \frac{P}{2Q} \right)}^{1/2}}\]
done
clear
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question_answer 150) The resultant of two like parallel forces is 12N. The distance between the forces is 18 m. If one force is of 4N, then the distance of the resultant from the smaller force is:
A)
4 m
done
clear
B)
8 m
done
clear
C)
12 m
done
clear
D)
none of these
done
clear
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