Oscillations Mock Test – Class 11 Physics

1. A light spring-mass oscillator has natural angular frequency . If the mass is made and the same spring is used, the new natural angular frequency is

2. If the amplitude of an ideal spring oscillator is doubled while remains unchanged, the total energy becomes

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

4. In an oscillating system, the body overshoots the mean position after returning to it mainly due to

5. For the displacement equation , where is in and is in , the amplitude and time period are respectively

6. A mixed oscillator record says: “The amplitude of a spring oscillator is doubled, and its mass is also doubled while the same spring is used.” The correct comparison with the original system is

7. Two ideal spring oscillators have the same total energy and the same spring constant. Their amplitudes are

8. Study the table for energy in ideal SHM.

The row that is not compatible with ideal SHM is

9. A body in SHM is found at the same displacement twice during one complete cycle. The two instants may differ because

10. A learner uses as the spring potential energy at . The corrected value is

11. The time gap corresponding to a phase difference of between two states of the same SHM is

12. In a damped oscillator, the amplitude gradually decreases mainly because

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

14. The motion of a simple pendulum with a large angular amplitude is not exactly SHM mainly because

15. In the reference-circle model, the projection is at when the rotating radius points along the positive diameter. At that instant, the projected velocity is

16. A lightly damped oscillator is best represented by a displacement-time graph whose peaks

17. A SHM particle has maximum speed . At a certain instant, its speed is . If , the magnitude of its displacement at that instant is

18. A torsional pendulum has time period and moment of inertia . Taking , its torsional constant is

19. The statement pair below refers to repeated motion.
I. A motion that repeats after equal intervals of time is periodic.
II. Every periodic motion must be to-and-fro motion about a mean position.
Select the valid evaluation.

20. For an oscillator, the symbol most commonly represents

21. A forced oscillator is driven at a frequency much lower than its natural frequency, then at a frequency close to its natural frequency, and finally at a much higher frequency. The amplitude is expected to be largest

22. A machine support has natural frequency . A rotating motor can operate at , , or . To reduce resonance risk, the least suitable operating frequency is

23. A child on a swing is pushed periodically. The amplitude grows large when the pushes are timed so that their frequency is close to the swing’s natural frequency. This is an example of

24. A SHM particle moves from the mean position to the nearest extreme position. The time taken is

25. Study the table for a simple pendulum performing small oscillations.

The row that needs correction is

26. A displacement-time graph is described by a sine curve whose peak value is and whose time between two successive positive peaks is . The equation can have the form

27. A harmonic oscillator has displacement , where is in and is in . At , its displacement, speed, and acceleration are respectively

28. A spring oscillator has , , and amplitude . Its total energy is

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

30. Study the formula-use table for oscillations.

The row that needs correction is

31. A horizontal spring-block oscillator has and . Its time period is

32. The phase in is dimensionless because

33. For a spring oscillator, the potential energy at and is

34. A car shock absorber is designed to reduce repeated bouncing after the car passes over a bump. The desired damping is close to critical damping because it

35. 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.

36. In the small-angle derivation of the simple pendulum, the tangential acceleration is related to arc displacement by

37. After one complete oscillation, the displacement of an oscillator from its starting point is

38. A simple pendulum has period in a stationary lift. The lift then accelerates downward with acceleration . The new period is

39. A spring oscillator has total energy , mass , and spring constant . At a certain instant its potential energy is . The speed of the block at that instant is

40. A simple pendulum of length has period under a certain value of . A pendulum of length at the same place will have period

41. Two identical spring oscillators are driven by the same periodic force at their resonance frequency. Oscillator P has light damping, while oscillator Q has heavy damping. The steady amplitude of P is larger mainly because

42. In the derivation of the simple pendulum formula, the tangential displacement and angular displacement are connected by

43. A motion has frequency . The number of complete oscillations made in is

44. A practical system must avoid resonance. The most direct design strategy is to

45. A pendulum clock is moved to a place where is smaller. To keep the same time period, the length of the pendulum should be

46. A SHM particle has time period . The time interval between a mean-position crossing and the next extreme position is

47. A resonance curve for a driven oscillator becomes broader when damping is increased. This means the oscillator

48. Use the graph description below.

The velocity signs at and are respectively

49. The velocity of a SHM particle is sometimes written as . The sign is needed because

50. A driven spring oscillator has and . The driving angular frequency closest to resonance is