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# Question Paper (Section wise)

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Question 1
Positive Marks: 4 / Negative Marks: 1
•  1) A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block is initially at rest in a equilibrium position. If now the block is pulled with a constant force F, the maximum speed of the block is 1. 2. 3. 4. •  2) A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. The coefficient of static friction between the plane and the block is 0.6. What should be the minimum value of force P, such that the block does not move downward? (take g = 10 ms-2) 1. 32 N

2. 18 N

3. 23 N

4. 25 N

•  3) If the angular momentum of a planet of mass m, moving around the Sun in a circular orbit its L, about the canter of the Sun, its areal velocity is:
1. 2. 3. 4. •  4) A particle which is experiencing a force, given by undergoes a displacement of. If the particle had a kinetic energy of 3 J at the beginning of the displacement, what is its kinetic energy at the end of the displacement?
1. 9 J

2. 12 K

3. 10 J

4. 15 J

•  5) For equal point charges Q each are placed in the XY plane at (0, 2), (4, 2), (4, - 2) and (0,-2). The work required to put a fifth charge Q at the origin of the coordinate system will be:
1. 2. 3. 4. •  6) For the circuit shown below, the current through the Zener diode is: 1. 9 mA

2. 5 mA

3. Zero

4. 14 mA

•  7) The given graph shows variation (with distance r from centre) of: 1. Electric field of a uniformly charged sphere

2. Potential of a uniformly charged spherical shell

3. Potential of a uniformly charged sphere

4. Electric field of a uniformly charged spherical shell

•  8) Equation of travelling wave on a stretched string of linear density 5 g/m is y = 0.03 sin (450 t – 9x) where distance and time are measured in SI united. The tension in the string is:
1. 10N

2. 7.5 N

3. 12.5 N

4. 5 N

•  9) In an experiment, electrons are accelerated, from rest, by applying, a voltage of 500 V. Calculate the radius of the path if a magnetic field 100 mT is then applied. [Charge of the electron = 1.6 × 10-19 C Mass of the electron = 9.1 × 10-31 kg]
1. 7.5 × 10-3 m

2. 7.5 ×10-2 m

3. 7.5m

4. 7.5 × 10-4 m

•  10) A load of mass M kg is suspended from a steel wire of length 2 m and radius 1.0 mm in searle’s apparatus experiment. The increase in length produced in the wire is 4.0 mm. Now the load is fully immersed in a liquid of relative density 2. The relative density of the material of load is 8. The new value of increase in length of the steel wire is:
1. 3.0 mm

2. 4.0 mm

3. 5.0 mm

4. Zero

•  11) In a radioactive decay chain, the initial nucleus is At the end there are 6 α- particles and 4β – particles with are emitted. If the end nucleus is , A and Z are given by:
1. A = 208; Z = 80

2. A = 202; Z = 80

3. A = 208; Z = 82

4. A = 200; Z = 81

•  12) When a certain photosensitive surface is illuminated with monochromatic light of frequency v, the stopping potential for the photo current is –V0/ 2. When the surface is illuminated by monochromatic light of frequency v/2, the stopping potential is –V0. The threshold frequency for photoelectric emission is:
1. 2. 3. 2 v

4. •  13) A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping al throughout. The two climb maximum height hsph  and hcyl on the incline. The radio is given by:
1. 1

2. 3. 4. •  14) The ratio of mass densities of nuclei of 40Ca and 16O is closed to:
1. 0.1

2. 5

3. 2

4. 1

•  15) A nucleus A, with a finite de – broglie wavelength λA, undergoes spontaneous fission into two nuclei B and C of equal mass. B flies in the same direction as that of A, while C flies in the opposite direction with a velocity equal to half of that of F. The de – Broglie wavelength λB and λc of B and C are respectively:
1. λA, 2λA

2. A, λA

3. 4. •  16) The electric field of light wave is given as. This light falls on a metal plate of work function 2eV. The stopping potential of the photoelectrons is
1. 0.48 V

2. 2.48 V

3. 0.72 V

4. 2.0 V

•  17) A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is:
1. 2. 3. 4. •  18) A capacitor with capacitance 5 μF is charged to 5 μC. If the plates are pulled apart to reduce the capacitance to 2 μF, how much work is done?
1. 3.75 × 10-6 J

2. 2.55 × 10-6 J

3. 6.25 × 10-6 J

4. 2.16 × 10-6 J

•  19) Two radioactive substance A and B have decay constant 5λ and λ respectively. At t = 0, a sample has the same number of the two nuclei. The time taken for the ratio of the number of nuclei to become will be
1. 1/λ

2. 1/4λ

3. 2/λ

4. 1/2λ

•  20) Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm-2. If the surface has an area of 25 cm2, the maximum transferred to the surface in 40 min time duration will be
1. 6.3 × 10-4 Ns

2. 3.5 × 10-6 Ns

3. 5.0 × 10-3 Ns

4. 1.4 × 10-6 Ns

•  21) A submarine experiences a pressure of 0.5 × 106 Pa at a depth of d1 in a sea. When it goes further to a depth of d2, it experiences a pressure of 8.08 × 106 Pa. Then d2 –d1 is approximately ________ m. (Density of water = 103 kg/m3 and acceleration due to gravity = 10 ms-2)
•  22) At 40° C, a brass wire of 1 mm is hung from the ceiling. A small mass, M is hung from the free end of the wire. When the wire is cooled down from 40°C to 20°C it regains its original length of 0.2 m. The value of M is close to ______ kg. (Coefficient of linear expansion and Youngs modules of brass are 10-5/°C and 1011 N/m2, respectively; g = 10 ms-2).
•  23) Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load resistor of 10 Ω. The internal resistances of the two batteries are 1 Ω and 2 Ω respectively. The voltage across the load will be approximately _______ V.
•  24) A satellite orbits around a planet at a height of 20 km from surface. Assuming that only gravitational field of the plant acts on the spaceship. The approximate number of revolution made by the satellite in 12 hours around the plane is ______. [Given: Mass of plane = 8 × 1022 kg, Radius of planet = 2 × 106 m, Gravitational constant G = 6.67 × 10-11 Nm2/kg2]
•  25) A parallel plate capacitor has 1μF capacitance. One of its two plates is given + 2μC charge and the other plate, +4μC charge. The potential difference developed across the capacitor is ________ V.
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