Oscillations Mock Test – Class 11 Physics

1. A damped spring oscillator has its amplitude reduced from to . If its mechanical energy is proportional to the square of amplitude, the remaining energy is

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

The row that needs correction is

3. Among the following acceleration-displacement relations, the one that represents simple harmonic motion is

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

5. A ball is kept at the bottom of a smooth bowl and then displaced slightly to one side. The bottom of the bowl represents a stable equilibrium position because the ball

6. For an ideal spring oscillator with , the kinetic energy varies with time as

7. Study the table for in SHM.

The row that is not compatible with SHM is

8. A note about an oscillator says: “The body is at the extreme position when .” This statement means that

9. Use the graph description below.

The symbol represents

10. A pendulum clock has correct period at a place where gravitational acceleration is . It is taken to a place where gravitational acceleration is . To keep the same period, the new length should be

11. 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

12. A spring oscillator has , , and total mechanical energy . When the block is at and moving toward the mean position, its velocity is

13. A block of mass is attached to two springs in parallel with force constants and . The time period of small horizontal oscillations is

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

15. A uniform rigid rod of length is pivoted at a point from its centre of mass and made to oscillate through small angles. Its moment of inertia about its centre is . The period is

16. A block of mass is attached to two identical springs in series, each of force constant . The time period of small oscillations is

17. A spring oscillator has , , and amplitude . When the block passes through its mean position, its speed is

18. Study the table for a spring oscillator in which displacement to the right is positive.

The row that correctly gives the force direction is

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

20. A motion has , where is a positive constant and is measured from equilibrium. The motion is not simple harmonic because

21. A simple pendulum is placed in an elevator accelerating downward with acceleration , where . For small oscillations, its time period is

22. Read the situation below and answer the question.

The signs of displacement and restoring force are respectively

23. The differential equation expresses SHM because it means

24. A free oscillator is one that, after being disturbed and released, oscillates mainly with

25. Study the table for two identical light springs, each of force constant , attached to a block.

The row that needs correction is

26. A body in SHM has amplitude and angular frequency . The maximum magnitude of its acceleration is

27. 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

28. A body in SHM starts from the positive extreme position. After , it will be at

29. A damped oscillator has amplitude , where is positive. The amplitude after time is

30. A proposed equation of motion is , where is measured from the mean position. This does not represent SHM because it gives

31. A claim says: “A pendulum clock taken to the Moon must run fast because the bob becomes effectively lighter.” The correct conclusion, using smaller lunar , is that it will

32. For a linear oscillator obeying , the constant represents

33. A small ball is balanced exactly on top of a smooth inverted bowl and is then displaced slightly. This point is not a suitable mean position for stable oscillation because the ball

34. Use the graph description below.

The peak of the curve represents

35. Assertion: In damped oscillations, amplitude decreases with time.
Reason: Resistive forces remove mechanical energy from the oscillating system.

36. A one-dimensional motion is described by . The time period of the motion is

37. 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.

38. A displacement equation is , where is in and is in . The maximum speed is

39. Use the graph description below.

The angular frequency of the oscillator is

40. A displacement is measured from the mean position. Which force-displacement relation can produce simple harmonic motion of a particle of mass ?

41. Use the graph description below.

At , the graph shows that the oscillator is

42. A SHM particle starts from the mean position, moves to the positive extreme, and returns to the mean position. The distance travelled in this interval is

43. 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

44. A compact passage describes an oscillator.

The maximum speed of the block is

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

46. A point moves uniformly on a circle with radius and angular speed . The maximum speed of its projection on a diameter is

47. A table compares phase descriptions for harmonic oscillators of the same frequency.

The row that needs correction is

48. A spring oscillator has potential energy at . The force constant of the spring is

49. 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

50. Study the table comparing damping cases.

The row that needs correction is