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SPACE FOR ROUGH WORK [2] SECTION-I (PHYSICS) SECTION - A 1. A shell following a parabolic path explodes somewhere in its flight. The centre of mass of fragments will move in (1) Tangential direction (2) Radial direction (3) Horizontal direction (4) Same parabolic path 2. When a body fall in air, the resistance of air depends on a greater extent on the shape of the body. Three different shapes are given Identify the combination of air resistances, which truly represents the physical situation (The cross- sectional areas are the same). (1) 1 < 2 < 3 (2) 2 < 3 < 1 (3) 3 < 2 < 1 (4) 3 < 1 < 2 3. Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A and the second wire has cross-sectional area 3 A. If the length of the first wire is increased by l on applying a force F, how much force is needed to stretch the second wire by the same amount? (1) 9 F (2) F (3) 4 F (4) 6 F 4. When a stick of length L mass M initially upright on a frictionless floor, starts falling the (1) Center of mass will fall vertically down (2) Center of mass will follow a circular path (3) Centre of mass will follow any curved path (4) All of these 5. An object moves at constant speed along a circular path in a horizontal xy plane, with the center as origin. When the object is at x = –2 m, its velocity is 4 ˆ − j m/s. Its acceleration when it is at y = 2 m is (1) 8 ˆ − i m/s2 (2) 2 ˆ − j m/s2 (3) 8 ˆ − j m/s2 (4) 2 ˆ i m/s2 6. A measured value 0.00274 expressed in two significant digits is (1) 0.0 (2) 0.0028 (3) 0.0027 (4) 2.8 × 10–3 7. A body starts from rest with an acceleration 2 m/s2 till it attains the maximum velocity then retards to rest with 3 m/s2 . If total taken is 10 second, then maximum speed attained is (1) 12 m/s (2) 8 m/s (3) 6 m/s (4) 4 m/s 8. An ant is walking on the horizontal surface. The number of degrees of freedom of any will be (1) 1 (2) 2 (3) 3 (4) 6 @swar_nava
SPACE FOR ROUGH WORK [3] 9. If the amount of heat given to a system is 35 J and the amount of work done by the system is –15 J, then the change in the internal energy of the system is (1) –50 J (2) 20 J (3) 30 J (4) 50 J 10. A particle is executing a simple harmonic motion. It maximum acceleration is  and maximum velocity is . Then, its time period of vibration will be (1) 2  (2) 2 2   (3)   (4) 2   11. In an adiabatic process, the state of a gas is changed from P1, V1, T1 to P2, V2, T2. Which of the following relations is correct? (1) 1 1 1 2 1 2 TV T V − − = (2) 1 1 1 2 1 2 PV P V − − = (3) 1 2 1 2 T P T P   = (4) 1 2 1 2 TV T V   = 12. In the arrangement shown, what is the normal reaction between the block A (mass = 5 kg) and ground (1) 50 N (2) 20 N (3) 30 N (4) Zero 13. The tension in piano wire is 10 N. What should be the tension in the wire to produce a note of double the frequency? (1) 5 N (2) 20 N (3) 40 N (4) 80 N 14. If the rms velocity of a gas is v, then (1) v 2T = constant (2) v 2 /T = constant (3) vT2 = constant (4) v is independent of T 15. The displacement of an SHM doing oscillation when K.E. = P.E. (amplitude = 4 cm) is (1) 2 2 cm (2) 2 cm (3) 1 2 cm (4) 2 cm 16. Evaluate 2 1 dx x =  (1) x –2 + C (2) –x –1 + C (3) x 2 + C (4) –x 2 + C 17. The velocity of freely falling body changes as g xh y . where g is acceleration due to gravity and h is height. The values of x and y are (1) 1 1 , 2 2 (2) 1 ,1 2 (3) 1 1, 2 (4) 1, 1 @swar_nava

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