Class 11 Physics: Oscillations Mock Test

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Quiz: Oscillations – Certificate Challenge
Total questions: 460
Questions to attempt: 100 random
Time allotted: 100 minutes
Certificate pass score: 70%
Random questions: Yes
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Oscillations – Progressive Test

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1. Study the table of formula-use conditions.

Row	Formula	Condition or meaning
P		Simple pendulum with small angular displacement
Q		Ideal spring SHM with no mechanical energy loss
R		Linear restoring force in Hooke's-law range
S		Speed at every point of SHM

The row that needs correction is

a) Row R

b) Row P

c) Row S

d) Row Q

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2. The relation connecting angular frequency and ordinary frequency is best completed as .

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3. A seconds pendulum is one whose time period is

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4. A body in SHM has maximum acceleration magnitude and amplitude . Its angular frequency is

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5. A lightly damped oscillator has an graph whose successive positive peaks decrease in height, but the time gaps between successive peaks remain nearly equal. This graph shows that

a) amplitude decreases while period is nearly constant

b) damping removes the restoring tendency completely

c) amplitude remains constant while period decreases

d) mechanical energy increases after every cycle

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

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7. 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

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8. For a physical pendulum with moment of inertia about the suspension axis and centre of mass at distance from the axis, the small-oscillation period is

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9. A pendulum of length is inside an elevator. In Case 1, the elevator is at rest. In Case 2, it accelerates upward with . Take . The ratio is

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10. Use the graph description below.

For a simple pendulum at a fixed place, is plotted against length . The graph is a straight line through the origin.

The slope of the graph is

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11. The approximation used in the simple pendulum derivation requires to be measured in

a) centimetres

b) hertz

c) radians

d) degrees

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12. Study the table and identify the row that gives the most suitable restoring-tendency description.

Row	Displacement from mean position	Restoring tendency
P	To the right	Toward the right
Q	To the right	Toward the left
R	To the left	Toward the left
S	On either side	Away from the mean position

a) Row S

b) Row P

c) Row R

d) Row Q

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

a) same as the original energy value

b) twice the original energy value

c) half the original energy value

d) four times the original energy

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14. Use the graph description below.

For a SHM particle, the graph is at a positive maximum at . The motion follows .

At , the corresponding and graph values are

a) ,

b) ,

c) ,

d) ,

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15. A SHM particle has and . The amplitudes of its and graphs are respectively

a) and

b) and

c) and

d) and

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

a) the positive extreme position

b) the mean position moving toward the positive side

c) the mean position moving toward the negative side

d) the negative extreme position

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

Row	Change made	Effect on
P	Mass is made , unchanged	becomes
Q	Spring constant is made , unchanged	becomes
R	Amplitude is doubled in ideal range	remains unchanged
S	Mass and spring constant are both made times	becomes

The row that needs revision is

a) Row S

b) Row Q

c) Row P

d) Row R

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

a) the time period must become exactly zero

b) the restoring force stops acting at the mean position forever

c) mechanical energy is lost to resistive effects

d) the displacement becomes independent of time

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19. For , the velocity of the oscillator is

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20. A spring oscillator has total energy . At a certain position, . The magnitude of displacement at that position is

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21. Read the situation below and answer the question.

A particle in SHM is at . In one observation it is moving toward the positive extreme. In another observation at the same , it is moving back toward the mean position.

The two observations have

a) same displacement, opposite velocity signs

b) the same displacement and the same velocity sign

c) zero velocity in both cases

d) maximum acceleration zero in both cases

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

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23. Use the graph description below.

For an ideal spring oscillator, and are plotted against time. Both curves are always non-negative, and whenever one curve is maximum, the other is zero. Their sum is a horizontal line.

The correct interpretation of the graph is

a) and remain equal at all instants in the cycle

b) total energy drops to zero when either curve is maximum

c) total energy stays constant as and exchange

d) displacement stays constant while energies exchange

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

a) the blade has zero acceleration throughout

b) the blade changes its length during rotation

c) the blade moves to and fro along a diameter

d) the same configuration repeats regularly

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25. In SHM, the magnitude of acceleration is maximum when the body is

a) halfway between mean position and extreme only

b) at either extreme position

c) moving with maximum speed through the mean position

d) at the mean position

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26. A displacement-time record shows that an oscillator crosses the mean position many times, but the peak displacement after each crossing is smaller than before. The motion is best classified as

a) undamped SHM

b) critically damped motion

c) lightly damped oscillation

d) overdamped non-oscillatory motion

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27. A pendulum of length is in a lift accelerating upward with acceleration . Its small-oscillation period compared with its period in a stationary lift is

a) increased by factor

b) increased by factor

c) decreased by factor

d) decreased by factor

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28. A forced oscillator is driven at angular frequency , while its natural angular frequency is . The resonance condition is approximately

a) for every oscillator

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29. Study the table for energy in ideal SHM.

Row	Position	Kinetic energy	Potential energy
P	Mean position	Maximum	Minimum
Q	Extreme position	Zero	Maximum
R	Between mean and extreme	Nonzero	Nonzero
S	Every position	Maximum	Maximum

The row that is not compatible with ideal SHM is

a) Row R

b) Row S

c) Row P

d) Row Q

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30. A mass-spring system is pulled farther from its equilibrium position before release, while the spring remains in its ideal range. The immediate effect on amplitude is that it

a) decreases because the spring becomes stiffer

b) stays unchanged because the period is unchanged

c) becomes equal to the extreme-to-extreme distance

d) increases with the initial displacement

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31. A spring oscillator has . At a certain displacement, its kinetic energy is three times its potential energy. The potential energy at that instant is

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32. Use the graph description below.

A SHM displacement-time graph has a horizontal tangent at a positive crest. The graph then descends and crosses the mean line.

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

a) velocity zero, acceleration away from the mean position

b) velocity maximum, acceleration zero

c) velocity maximum, acceleration maximum in the positive direction

d) velocity zero, acceleration toward the mean position

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

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34. A body has acceleration , where is displacement from the mean position. The motion is simple harmonic because

a) acceleration is always in the positive direction

b) acceleration is proportional to

c) acceleration is linear in and restoring

d) acceleration is constant at all positions

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35. A body in SHM has displacement and angular frequency . Its acceleration is

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36. Use the graph description below.

For an ideal spring oscillator, , , and total energy graphs are drawn on the same axes.

The total energy graph should appear as

a) a horizontal line

b) a straight line with negative slope

c) a parabola opening upward through the origin

d) a parabola opening downward touching zero at

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

a) resonance needs no restoring force, and damping creates energy

b) every forced oscillator is resonant, and damping increases amplitude

c) resonance needs near-natural driving, and damping limits amplitude

d) damping changes only displacement sign, while resonance changes mass

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

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39. A body in SHM has . When its displacement is , its acceleration is

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40. A pendulum has period in a stationary lift. The lift then accelerates upward with acceleration . The new period is

a) decreased by factor

b) decreased by factor

c) increased by factor

d) increased by factor

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41. A block attached to an ideal spring on a smooth horizontal surface has amplitude . If its amplitude is changed to without changing or , the quantity that changes is

a) angular frequency only

b) total energy only among these three

c) neither time period, angular frequency, nor total energy

d) time period only

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42. A simple pendulum has time period at a place where gravitational acceleration is . At another place, becomes , while the length is unchanged. The new time period is

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43. A pendulum has length . Another pendulum at the same place has length . The ratio of their frequencies is

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44. Use the graph description below.

The displacement-time graph of an oscillator reaches positive maxima at , , and . The shape of the graph repeats between successive positive maxima.

The angular frequency of the oscillator is

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45. The graph of speed against displacement for ideal SHM is described by . The graph in the allowed interval is best described as

a) an upper semicircle, maximum at

b) an upward parabola with minimum at

c) a straight line with maximum at

d) a horizontal line with constant nonzero speed

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

a) of its maximum acceleration

b) twice its maximum acceleration

c) equal to its maximum acceleration

d) of its maximum acceleration

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47. Assertion: Increasing damping can make a resonance curve less sharp.
Reason: Greater damping dissipates more energy and reduces the ability of the oscillator to build a large response near one frequency.

a) Assertion is true, but Reason is false

b) Both Assertion and Reason are true, but Reason does not explain Assertion

c) Assertion is false, but Reason is true

d) Both Assertion and Reason are true, and Reason explains Assertion

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48. 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

a) restoring law, approximation conditions, and damping

b) repetition alone, regardless of force or approximation

c) whether displacement happens to be positive at

d) the order in which amplitude and frequency are written

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49. 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

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50. A physical pendulum has , , and . Its equivalent simple pendulum length is

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Oscillations Mock Test – Class 11 Physics

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