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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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