Oscillations Mock Test – Class 11 Physics

1. A simple pendulum clock has its period increased by . In of actual time, the clock loses approximately

2. For a simple pendulum, the angular frequency for small oscillations is

3. A solution satisfies the SHM differential equation because its second derivative is

4. In a spring oscillator, the potential energy at is what fraction of the total energy?

5. A simple pendulum is used in a region where . Its length is . Taking , its time period is

6. A spring oscillator has total energy . At a certain instant, its potential energy is equal to its kinetic energy. The speed at that instant is

7. A spring oscillator has amplitude . Its maximum potential energy is

8. Study the table and identify the row that does not satisfy the SHM condition when is measured from the mean position.

9. Match the term with its most suitable meaning.

10. A periodic driving force is applied to a system whose natural frequency is . The system is tested at , , , and . If damping is small, the largest steady amplitude is most likely at

11. Study the table comparing damping cases.

The row that needs correction is

12. In a simple pendulum, the tangential restoring force for an angular displacement is

13. The kinetic and potential energies of an ideal spring oscillator repeat their values after every

14. A body in harmonic motion is observed at the same displacement two times during one cycle. The two observations need not represent the same state because

15. A mass is attached to a vertical spring and released from the spring’s natural length position. If the static extension is , and damping is negligible, the amplitude of the resulting vertical oscillation about the new equilibrium is

16. Study the table for an ideal horizontal spring-block oscillator.

The row that needs revision is

17. A forced oscillator has natural frequency . In one trial it is driven at , in another at , and in a third at , with damping small in all trials. The largest steady amplitude is expected when the driving frequency is

18. A particle executes . The time taken to go from while moving in the positive direction to while moving in the negative direction is

19. An extended rigid body oscillates about a fixed horizontal axis under gravity. It is better described as a physical pendulum rather than a simple pendulum because

20. The following statements refer to acceleration in SHM.
I. Acceleration is zero at the mean position.
II. Acceleration is always directed toward the mean position.
III. Acceleration has maximum magnitude at the extreme positions.
Select the valid set.

21. Consider the following statements about velocity in SHM.
I. Velocity is zero at the extreme positions.
II. Velocity has maximum magnitude at the mean position.
III. The sign of velocity at a given cannot be known from alone.
Select the valid set.

22. The displacement of an oscillator is zero at a certain instant. This does not necessarily mean that

23. At the extreme position of an ideal spring oscillator, the kinetic energy is zero because

24. Study the table and choose the row with a unit mismatch.

25. A signal repeats its entire pattern every . Its time period and frequency are respectively

26. A pendulum is inside a freely falling lift. Neglecting air resistance, its small oscillation period is not described by the usual finite formula because

27. A spring oscillator has and total energy . Its amplitude is

28. A record of an oscillation gives . The angular frequency is

29. A spring oscillator is displaced from to . The increase in its spring potential energy is

30. Assertion: A forced oscillator can have a large amplitude even when the driving force is not very large.
Reason: If the driving frequency is close to the natural frequency, energy can be supplied effectively over many cycles.

31. A vertical spring has static extension when a mass is attached. The mass is then displaced downward from the new equilibrium and given an upward speed . Taking , the amplitude of the resulting motion is approximately

32. If a SHM particle returns to its starting position after a time , the statement that best separates distance and displacement is

33. A block of mass is attached to a spring of force constant on a smooth horizontal surface. The angular frequency of small oscillations is

34. Use the arrangement described below. A point moves anticlockwise with uniform angular speed on a reference circle. Its projection on the horizontal diameter gives SHM with . When the rotating radius makes from the positive horizontal direction, the projection has

35. A body of mass moves under a force , where is in and is in . Its angular frequency is

36. A displacement function is proposed for SHM. Its second derivative with respect to time is

37. Study the table comparing three oscillators under their usual small-oscillation conditions.

The row that needs correction is

38. Use the graph description below.

At the positive crest, the velocity and acceleration are best described as

39. Study the table about a seconds pendulum.

The row that needs correction is

40. The graph of acceleration against displacement for a motion is a straight line through the origin with positive slope. The motion is not SHM because

41. A simple pendulum is in an elevator accelerating upward with acceleration . For small oscillations, the effective acceleration is , so its time period becomes

42. A body passes through its mean position during an oscillation. At that instant, its displacement from the mean position is

43. A comparison of oscillator behavior is given below.
I. A free undamped oscillator keeps constant amplitude in the ideal model.
II. A damped oscillator loses mechanical energy.
III. A forced oscillator needs an external periodic force.
IV. Resonance is strongest when damping is large and the driving frequency is far from natural frequency.
The valid statements are

44. A glass tumbler may vibrate strongly when exposed to a sound of suitable pitch. The most suitable explanation is that

45. Two simple pendulums at the same place have lengths and . For small oscillations, the ratio of their time periods is

46. Use the graph description below.

The symbol represents

47. Consider the following statements about phase in harmonic motion.
I. Phase tells the stage of oscillation.
II. Initial phase depends on the chosen starting instant and representation.
III. Same displacement always means same direction of motion.
Select the valid set.

48. If for a spring oscillator, the potential energy varies with time as

49. A table compares the signs of displacement, velocity, and acceleration for .

The row that needs correction is

50. Use the graph description below.

The peak of the curve represents