Oscillations Mock Test – Class 11 Physics

1. A body in SHM has amplitude and angular frequency . Its maximum speed is

2. A spring oscillator has amplitude . At one instant the kinetic energy is of the total energy. The magnitude of displacement at that instant is

3. A SHM particle starts from the positive extreme position. After , it will be at

4. A forced oscillator is first released and then driven by a periodic force. After a long time, the transient free part becomes negligible. The frequency of the steady motion is then mainly

5. A body in SHM has . When the body is at , the magnitude of its acceleration is

6. Read the record below and answer the question.

The two displacement values are respectively

7. A motion has acceleration , where is measured from the mean position in and is in . The angular frequency of the motion is

8. The following statements refer to forced oscillations and resonance.
I. A forced oscillator is driven by an external periodic force.
II. Resonance occurs when the driving frequency is close to the natural frequency.
III. Greater damping usually makes the resonance peak sharper and higher.
Select the valid set.

9. A harmonic oscillator has phase . When , its phase is . The value of is

10. A spring oscillator has , , and it passes through the mean position with speed . Its amplitude is

11. For a simple pendulum of length making small oscillations near Earth’s surface, the time period is

12. A rotating fan blade seen at a fixed mark crosses the mark at regular intervals. The crossing pattern is periodic because

13. A simple pendulum is taken from a place where is larger to a place where is smaller, without changing its length. Its small-oscillation time period

14. Two spring-mass systems have the same mass, but spring has a larger force constant than spring . If both behave ideally, spring gives

15. Read the situation below and answer the question.

The two observations have

16. A machine part vibrates strongly when a motor runs at a particular speed. The most likely reason is that the motor’s driving frequency is

17. Vibratory motion is commonly understood as

18. A particle in SHM starts at , reaches , and comes back to . The total distance travelled is

19. 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

20. The equation of motion of a particle is . Its angular frequency is

21. In a spring-block oscillator on a horizontal smooth surface, the block crosses the equilibrium position and continues to the other side mainly because

22. 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

23. In the displacement equation , changing only while keeping and fixed changes

24. A pendulum clock is taken to a place where the value of is slightly smaller. If its length is not changed, the clock will

25. A note says: “Resonance occurs whenever an oscillator is forced, and damping only changes the period.” The best correction is that

26. Study the table comparing a point in uniform circular motion and its projection on a diameter.

The row that needs correction is

27. Two identical oscillators have equal amplitudes and equal frequencies, but whenever one is at , the other is at . Their phase difference is most simply

28. A spring-block oscillator has , , and is driven by a periodic force. The driving frequency closest to resonance is

29. The dimension of the spring force constant in is

30. For , the velocity of the oscillator is

31. A horizontal spring-block system on a frictionless surface executes SHM mainly because the spring force

32. A block attached to a horizontal spring is pulled slightly and released on a smooth surface. The motion is described as oscillatory because the block

33. A spring does not obey Hooke’s law beyond a certain extension. Applying for very large oscillations may fail because

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

35. On the same displacement axis for an ideal spring oscillator, the , , and graphs are compared. The best description is

36. A clock hand returns to the same orientation after equal intervals of time, but it does not move to and fro about a central mean position. This is an example of

37. The SI unit of the force constant in is

38. 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

39. A final rescue-check statement says: “In oscillations, the same formula can always be used if the motion is repeated.” The best correction is that formula choice depends on

40. A table gives distance and displacement for some SHM intervals along a straight line.

The row that is not compatible with the motion is

41. A learner writes that and are the same because both describe “how fast oscillation happens.” The best correction is that

42. A system is said to be critically damped when it

43. Study the table and identify the row with the proper relation and unit.

44. Use the graph description below.

The angular frequency of the oscillator is

45. A spring oscillator has , , and amplitude . When the block is at and moving toward the mean position, its speed and acceleration are respectively

46. A SHM particle moving from the mean position to the positive extreme covers the first half of the displacement, from to , in time , and the second half, from to , in time . The correct comparison is

47. A final comparison of oscillatory systems is given below.
I. In an ideal spring oscillator, .
II. In a small-angle simple pendulum, .
III. In resonance, the driving frequency is close to the natural frequency.
IV. In damping, amplitude decreases due to mechanical energy loss.
The valid statements are

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

49. A pendulum of length is in an elevator accelerating upward at . Take . Its small-oscillation period is

50. 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