Q.1
Find the potential of point of a and b when switch S is closed
  • 4V, 12 V
  • 8 V, 8 V
  • 2 V, 2V
  • 4 V, 4V
Q.2
How much charge flows through the switch S after it is closed?
  • 2.76 μF
  • 7.76 μF
  • 5.76 μF
  • 10 μF
Q.3
A point charge q is located at (2, 3, 3) in xyz coordinate. Find the potential differences between A and B A = (2, 3, 3) B = (-2, 3, 3)
  • $\frac {q}{ 4 \pi \epsilon _0}$
  • $\frac {q}{ 16 \pi \epsilon _0}$
  • $\frac {3q}{ 16 \pi \epsilon _0}$
  • $\frac {q}{ 8 \pi \epsilon _0}$
Q.4
A square loop of side L, Mass M and total resistance R falls vertically into uniform magnetic field B directed perpendicular to the plane of the coil. The height h through which the loop falls so that it attain terminal velocity on entering the region of magnetic field
  • $\frac {MgR^2}{4B^3L^3}$
  • $\frac {M^2gR^2}{2B^4L^4}$
  • $\frac {M^2gR^2}{2B^2L^2}$
  • $\frac {MgR}{2BL}$
Q.5
A bowl of soup rests on a table in the dining car of a Rajdhani train. The acceleration of the train is g/4 in the forward direction. What angle does the surface of the soap make with the horizontal?
  • $tan ^{-1} 1/4$
  • $tan ^{-1} 4$
  • $cos ^{-1} 4$
  • $sin ^{-1} 4$
Q.6
Consider the following two statements. (A) Linear momentum of a system of particles is zero. (B) Kinetic energy of system of particles is zero.
  • A implies B but B does not imply A.
  • A does not imply B but B implies A.
  • A implies B and B implies A.
  • A does not imply B and B does not imply A.
Q.7
This question has statement 1 and statementOf the four choices given after the statements, choose the one that best describes the two statements. If two springs S1 and S2 of the force constants k1 and k2 respectively, are stretched by the same force, it is found that more work is done on spring S1 ​than on spring S2 ​Statement-l : When stretched by the same amount, work done on S1, will be more than that of S2 ​Statement-2: k1
  • Statement I is false and Statement II is true
  • Statement I is true and Statement II is false
  • Statement I is true and Statement II is true and statement 2 is the correct explanation of statement 1
  • Statement I is true and Statement II is true and statement 2 is the not correct explanation of statement 1
Q.8
Which of the following is correct regarding the first law of thermodynamics ? (i)It is not applicable to any cyclic process (ii)It is a restatement of the principle of conservation of energy (iii)It introduces the concept of the internal energy (iv)It introduces the concept of the entropy ​
  • (i) and (iii)
  • (ii) and (iv)
  • (i) and (iv)
  • (ii) and (iii)
Q.9
which of the following principles is used in optical fibres?
  • Total internal reflection
  • scattering
  • refraction
  • Diffraction
Q.10
Two lenses of power- 15 D and +5D are in contact with each other. The focal length of the combination is
  • +10 cm
  • +20 cm
  • -10 cm
  • -20 cm
Q.11
This question contains Statement - 1 and Statement -2 Of the four choice given after the Statements , choose the one that best describes the two Statements Statement- 1: Energy is released when heavy undergo fission or light nuclei undergo fusion and Statement- 2: for nuclei , binding energy nucleon increases with increasing Z while for light nuclei it decreases with increasing Z
  • Statement-1 is true, Statement-2 is false
  • Statement-1 is false, Statement-2 is true
  • Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1
  • Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1
Q.12
A radioactive nucleus (initial mass number A and atomic number Z) emits 3α-particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be
  • $\frac {A-Z -4}{Z-2}$
  • $\frac {A-Z -8}{Z-4}$
  • $\frac {A-Z -4}{Z-8}$
  • $\frac {A-Z -12}{Z-4}$
Q.13
A signal of 5kHz frequency is amplitude modulated on a carrier wave of frequency 2MHz . The frequency of the resultant signal is /are
  • 2000kHz and 1995kHz
  • 2005kHz. 2000kHz and 1995kHz
  • 2005kHz and 1995kHz
  • 2MHz only
Q.14
A uniform string of length 20m is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up the string. The time taken to reach the support is : (take g=10m/square sec)
  • 2 sec
  • $\sqrt 2$ s
  • $2\sqrt 2$ s
  • $2 \pi \sqrt 2$ s
Q.15
If there were a reduction in gravitational effect, which of the following forces do you think would change in some respect?
  • Magnetic force
  • Electrostatic force
  • Viscous force
  • Archimedes uplift
0 h : 0 m : 1 s