Physics X I Simple harmonic motion

1. The maximum displacement of a vibration body from its equilibrium position is called: a) Vibration b) Amplitude c) Radius d) Distance

2. Kinetic energy of a mass attached with an elastic spring is maximum at: a) Mean position b) Extreme position c) Between mean and extreme positions d) None of these

3. The acceleration of free fall on the moon is one-sixth of accelration due to gravity on earth. What would be the period on the moon of a simple pendulum which has a period of 1 second on the earth: a) 1 sec b) 1.66 sec c) 2 sec d) 2.44 sec

4. The frequency of a second's pendulum is: a) 0.5 Hz b) 2 Hz c) 1 Hz d) 4 Hz

5. In simple harmonic motion the acceleration of a body is always directed towards and proportional to its displacement from: a) The point at which force is applied b) None of these c) It's mean position d) It's extreme position

6. If the bob of a simple pendulum is replaced by another bob of double mass but of the same size, then its time period will: a) Decrease b) Increase c) Remain the same d) Become infinity

7. If the bob of a vibration simple pendulum is suddenly detached from the string at its mean position, its path will be: a) A hyperbola b) A parabola c) A straight line d) A circle

8. According to Hooke's Law the change in the length due to a hanging body with an elastic spring is directly proportional to: a) It's velocity b) It's temperature c) It's velocity d) It's weight

9. A spring mass system performing simple harmonic motion with the time period T, if we double the mass of its bob then the new time period will be: a) 1.414 T b) 2 T c) 0.707 T d) T

10. One complete round trip of a body about a mean position is called: a) Time period b) Frequency c) Rotation d) One vibration

11. Time period and frequency are: a) Reciprocal to each other b) Equal to each other c) Opposite in direction d) Directly proportional to each other

12. A block of mass 4000gm is attached an elastic spring which extends the spring up to by 0.16m, this block is then removed and a 0.5Kg body is hung from the same spring, the spring is stretched and then released calculate the period of vibration of spring: a) 1.29 sec b) 0. 28 sec c) 4 sec d) 24 sec

13. Calculate the length of Second's pendulum and its frequency: a) 1.0 m & 2 Hz b) 2m & 1.5 Hz c) 1.0 m & O.5 Hz d) None of these

14. A spring whose spring constant is 80 N/m vertical supports a mass of 1.0 Kg in the rest position. Find the distance by which the mass must be pulled down so that once released it may pass from the mean position with a velocity of 1.0 m /sec: a) 0.50m b) 1.5m c) 0.11m d) 2.5m

15. A 100 gm mass is suspended by a spring which stretches the spring by 4 cm. When another mass is hung by the same spring and set into vibrations its period is 0.568 Sec. Calculate the mass of the body: a) 0.5 Kg b) 150 gm c) 2000 gm d) 0.20 Kg

16. A mass of 15 gm is attached to an elastic spring so that it stretches the spring up to 2 cm. If a body of mass 294gm is attached to the spring and set into vibrations of an amplitude of 10cm then calculate its spring constant: a) 15.5 N /m b) 1.5 N /m c) 7.35 N/m d) 20 N/m

17. From question #16 calculate the time period of the mass spring system: a) 2.26 sec b) 2.0 sec c) 1.56 sec d) 1.25 sec

18. A body of mass 8 Kg executes S.H.M with amplitude of 30 cm. If the restoring force is 60N when the displacement is 30 cm find the period of vibration: a) 12 Sec b) 2 Sec c) 1.03 Sec d) 1.3 Sec

19. From question # 18 calculate the acceleration of the mass spring system performing S.H.M a) 2 m / sec 2 b) 12 m /sec2 c) -3 m /sec2 d) None of these

20. From question # 18 calculate the angular speed of mass spring system executing S.H.M a) 148 rad/s b) 1.92 rad/s c) 4.82 rad/s d) 20 rad/s

21. From question # 18 calculate the Kinetic energy of the spring if the displacement is 12 cm: a) 12 joule b) 21 joule c) 7.6 joule d) 10 joule

22. From question # 18 calculate the Potential energy of the spring when the displacement of the spring is 12 cm: a) 17 joule b) 110 joule c) 0.5 joule d) 1.44 joule

23. A block of mass 4 Kg is dropped on spring of spring constant 1960 N/m. Find the P.E of the body: a) 29.65 joule b) 125 joule c) 233 joule d) 31.36 joule

24. From question # 23 also calculate the maximum distance through which the spring is compressed: a) 0.18 m b) 0.42 m c) 54 cm d) 20.5 cm

25. If the angular speed of a body performing S.H.M is p / 8 then it frequency will be: a) 2/3 Hz b) 1.5 Hz c) 24 Hz d) 1/16 Hz

26. The total energy of a particle executing S.H.M is directly proportional to: a) The amplitude b) Square root of amplitude c) Square of its amplitude d) The reciprocal of amplitude

27. A second's pendulum is taken to the surface of the moon, In order to keep its time period same as its time period on the surface of the earth we must: a) Increase the length of pendulum b) Decrease the length of pendulum c) Keep the length same as on surface of the earth d) None of these is applicable

28. If we double the time period of a pendulum, the length of pendulum: a) Increased by the factor 2 b) Decrease by the factor 2 c) Increased by a factor of √ 2 d) Increased by a factor 4

29. A body hanging from a spring is set into vibration with a period of 0.50sec. After the body comes to rest it is removed the spring gets shorter in length, calculate the extension of spring: a) 12.5cm b) 40cm c) 6.21cm d) 5cm

30. A mass of 500gm is attached to an elastic spring which has spring constant 50 N/m. find the period of the spring: a) 0.25sec b) 1.25sec c) 2sec d) 0.63sec

31. Calculate the length of second's pendulum on the surface of the moon where the acceleration due to gravity is 0.167 times that on the earth's surface: a) 16.6cm b) 1m c) 1.25m d) 2m

32. A simple pendulum completes 4 vibrations in 8 sec on the surface of earth. Find its time period on the surface of moon: a) 5.5 sec b) 6 sec c) 4.9 sec d) 4 sec

33. Find the length of second's pendulum on planet Jupiter where the value of " g " is 2.63 times the value of " g " on the surface of earth: a) 0.263 cm b) 1.44 m c) 2.61 m d) 4 m

34. A student records the time period of a simple pendulum which is found to be 1/2 second, to get time period of of 1 second the length of the pendulum should be: a) 2 L b) 1/2 L c) 4 L d) 1/4 L

35. The acceleration due to gravity on moon is 1/6 th of that on earth. Calculate the period on the surface of moon of a simple pendulum which has a period of one second on earth: a) 1/6 th second b) 1/ √6 second c) 15.39 seconds d) 4 seconds

36. The period of vibration of a mass spring system of displacement 10cm is 1.57 sec with a velocity of 0.4 m / sec executing S.H.M. Find the spring constant if the mass of the body is 25 gm: a) 12 N/m b) 0.4 N/m c) 200 N/m d) 250 N/m

37. From the data of question # 36 calculate the total energy of the system: a) 110 joule b) 15 joule c) 0.5 joule d) 4 X10-3 joule

38. From the data of question # 36 calculate the amplitude of the spring system: a) 16 m b) 0.141 m c) 12 cm d) 30 cm

39. The value of elastic restoring force is: a) Kx b) -Kx c) K2 x d) K x2

40. The tension in the string of a simple pendulum is: a) Constant b) Maximum at the extreme position c) Zero at the mean position d) None of these

41. To make the frequency double of a spring mass system we have to: a) Reduce the mass to one fourth b) Increase the mass to four times c) Double the mass d) Half the mass

42. The restoring force of S.H.M is maximum when particle: a) Maximum displacement b) At mean position c) At half way of its motion d) None of these

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