Class 11 Physics: Waves Mock Test

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Quiz: Waves – Certificate Challenge
Total questions: 500
Questions to attempt: 100 random
Time allotted: 100 minutes
Certificate pass score: 70%
Random questions: Yes
Certificate: Yes
Retake: Until certificate earned
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Progressive Test — Guest First Round

Waves – Progressive Test

Welcome to the Progressive Test.

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Good luck!

1 / 50

1. For an ideal gas at fixed temperature, increasing the pressure does not change the sound speed if the gas remains ideal. The reason is that

a) pressure alone fixes sound speed while density has no role

b) sound speed is always independent of temperature

c) pressure increases but density must become zero

d) pressure and density increase in the same ratio

2 / 50

2. A sinusoidal wave is called periodic because

a) it can exist only in vacuum

b) its pattern repeats in space and time

c) the particles of the medium are permanently transported

d) it contains only one isolated disturbance

3 / 50

3. A wave on a string travels to the right. At one instant, a small marked point on the string is moving upward. This information alone shows that

a) the marked point must move to the right with the wave

b) the point’s motion need not match the wave direction

c) the string has no particle motion at that point

d) the wave cannot carry energy along the string

4 / 50

4. The phase of a sinusoidal wave at a point changes by in . The angular frequency is

5 / 50

5. A disturbance is described by , where is in and is in . The propagation speed and direction are

a) toward negative

b) toward positive

c) toward negative

d) toward positive

6 / 50

6. Two coherent waves of the same wavelength reach a point with a path difference of . The interference at that point is

a) constructive because the path difference is an integer multiple of

b) destructive because the path difference is an odd multiple of

c) impossible because path difference cannot exceed

d) neither constructive nor destructive because the path difference contains

7 / 50

7. A sound source emits . The source moves toward a wall at , and a listener moves with the source. If the speed of sound is , the frequency of the echo heard by the listener is closest to

8 / 50

8. A wave on a string travels with speed . At one instant, a particle of the string has transverse speed . The safest interpretation is that

a) the two speeds refer to different motions

b) the wave has stopped because the two speeds are unequal

c) the particle speed must always be

d) the wave speed must become

9 / 50

9. A moving source emits sound of frequency . A stationary observer in front of it hears . If the speed of sound is , the source speed and wavelength in front of the source are respectively

a) and

b) and

c) and

d) and

10 / 50

10. In the description of a transverse wave, the phrase “perpendicular displacement” refers to

a) the speed of the wave relative to the source

b) the time taken by the source to complete one oscillation

c) particle displacement compared with wave direction

d) the distance between two neighbouring crests

11 / 50

11. A sinusoidal wave has equation . At , a crest is at . If the wave speed is , the position of the same crest after is

12 / 50

12. In a graph of a wave at a fixed instant, the horizontal distance between two nearest points that are moving in the same phase represents

a) amplitude

b) wavelength

c) time period

d) frequency

13 / 50

13. A particle of a medium completes one oscillation in . What is the frequency of the wave motion at that point?

14 / 50

14. Two tuning forks produce beats per second. One fork has frequency . Without any extra information, the other fork may have frequency

a) only

b) only

c) or

d) or

15 / 50

15. The unit is naturally associated with

a) wavelength

b) wave speed

c) frequency

d) amplitude

16 / 50

16. Study the table and identify the mismatched row.

Row	Sound characteristic	Main wave link
P	Pitch	Frequency
Q	Loudness	Intensity and amplitude
R	Quality	Waveform and harmonic content
S	Pitch	Total mass of air transported from source to listener

a) Row P

b) Row S

c) Row Q

d) Row R

17 / 50

17. A string has . The measured slope of a versus graph should be

18 / 50

18. A sinusoidal wave travelling in the positive -direction is most commonly represented as

19 / 50

19. In a gas, Newton’s formula gives for sound speed. If , Laplace’s corrected speed is

20 / 50

20. In one wave record, the crest-to-trough vertical separation is . The amplitude of the wave is

21 / 50

21. Study the table and select the row that correctly links travelling-wave form and direction.

Row	Wave form	Direction
P		Positive -direction
Q		Negative -direction
R		No propagation
S		Positive -direction

The fully correct pair of rows is

a) P and S only

b) Q and R only

c) P and Q only

d) R and S only

22 / 50

22. A resonance curve is drawn for an air column. The vertical axis shows amplitude of vibration, and the horizontal axis shows driving frequency. A sharp peak occurs when the driving frequency is

a) much smaller than every natural frequency of the air column

b) equal to a natural frequency of the air column

c) always equal to zero

d) independent of the air-column length

23 / 50

23. A stationary source emits sound of frequency . An observer moves toward the source with speed . Taking the speed of sound as , the observed frequency is

24 / 50

24. The maximum particle speed in a sinusoidal progressive wave of amplitude and angular frequency is

25 / 50

25. Use the graph description below.

Two graphs are drawn for the same longitudinal sound wave at the same instant. Graph P shows particle displacement versus . Graph Q shows pressure variation versus .

At a position where is maximum positive in Graph P, Graph Q has

a) maximum negative pressure variation

b) maximum positive pressure variation

c) pressure variation equal to the wave speed

d) zero pressure variation

26 / 50

26. A sinusoidal wave is observed at one fixed point. The particle at that point returns to the same displacement and same direction of motion every . The quantity is the

a) wavelength

b) time period

c) amplitude

d) wave speed

27 / 50

27. Two strings have the same length and are under the same tension. String R is made of a denser material, so its mass per unit length is larger. A pulse sent along string R will travel

a) slower than on the lighter string

b) with the same speed regardless of mass per unit length

c) only if the source frequency is zero

d) faster than on the lighter string

28 / 50

28. Study the table and identify the most suitable row.

Row	Medium condition	Effect on sound propagation
P	Perfect vacuum	Sound propagates normally
Q	Material medium present	Sound can propagate through particle interactions
R	No particles present	Sound speed becomes infinite
S	Only light present	Sound becomes electromagnetic

a) Row R

b) Row S

c) Row P

d) Row Q

29 / 50

29. A graph of versus at fixed shows successive crests separated by . A graph of versus at fixed shows successive maxima separated by . The wave speed is

30 / 50

30. A record for a stretched string says: , , and . The correct sequence for finding the wave speed is

a) use after finding

b) find , then use

c) first find , then use

d) use before finding

31 / 50

31. A compact synthesis problem gives a wave on a string as . The string length is , and both ends are fixed. The frequency of this wave and the harmonic number matching its wavelength are

a) and

b) and

c) and

d) and

32 / 50

32. Two points in adjacent loops of a standing wave on a string have their displacements at the same instant compared. If one loop is displaced upward, the adjacent loop is

a) also displaced upward

b) moving along the string

c) always at rest

d) displaced downward

33 / 50

33. A sound wave travels through air. At one point, the pressure is momentarily lower than the normal pressure, and the air particles are more spread out than usual. This point is in a

a) compression

b) crest

c) rarefaction

d) trough

34 / 50

34. Use the graph description below.

A sound wave in air is represented by a pressure variation graph along the direction of propagation. Point P is at a pressure maximum, and point Q is at the nearest pressure minimum.

Point P and point Q correspond respectively to

a) compression and rarefaction

b) source and detector positions

c) node and antinode in standing waves

d) crest and trough in displacement

35 / 50

35. A pipe closed at one end has length . If the speed of sound is , its fundamental frequency is

36 / 50

36. A gas at has sound speed . The same gas is heated so that the sound speed becomes . The final temperature is

37 / 50

37. A phase constant is changed in the equation of a sinusoidal wave, while , , and remain the same. The change mainly

a) changes the wavelength without changing

b) changes only the initial phase of the wave

c) changes the wave speed by changing the medium

d) changes the frequency without changing

38 / 50

38. Use the graph description below.

Two sound waves are displayed on a pressure-time graph. Both have the same time period and the same maximum pressure variation, but their detailed shapes within one cycle are different.

The two sounds mainly differ in

a) loudness only

b) pitch only

c) quality or timbre

d) speed through vacuum

39 / 50

39. A wave on a string has , , , and . Using , the average power is

40 / 50

40. A wave train is shown on a string. Three neighbouring crests are marked P, Q, and R in order along the direction of propagation. If the distance from P to Q is , the distance from P to R is

41 / 50

41. Linear mass density of a string is defined as

a) , with unit

b) , with unit

c) , with unit

d) , with unit

42 / 50

42. A sound wave travels through a medium where particles are difficult to compress but also have large inertia. A careful prediction of sound speed should consider

a) neither property because sound speed is source-controlled

b) both restoring elasticity and inertia

c) only the difficulty of compression

d) only the large inertia

43 / 50

43. A stationary source emits sound of frequency . An observer moves away from it with speed . If the speed of sound is , the apparent frequency is

44 / 50

44. For an ideal gas of fixed density , the pressure is increased from to , and is unchanged. According to , the sound speed becomes

45 / 50

45. The distance between two neighbouring nodes in a standing wave is

46 / 50

46. For a right-moving wave , the relation between particle velocity and wave-profile slope is

47 / 50

47. A student writes that must represent a wave travelling toward negative because of the minus sign. The best correction is that

a) is impossible because the argument has units

b) represents no motion because and cancel

c) always represents a standing wave

d) moves toward positive

48 / 50

48. A sinusoidal wave is written as , with SI units. At and , the particle velocity is

49 / 50

49. In basic wave language, the quantity in a displacement wave usually represents

a) total mass transported by the wave

b) distance travelled by the whole medium during the wave

c) speed of the source as it produces the disturbance

d) displacement of a particle from its mean position

50 / 50

50. A string is kept under the same tension. The source frequency is increased, but the string and its tension are not changed. The wave speed on the string will

a) increase in the same ratio as frequency

b) remain fixed by the string conditions

c) become equal to the particle speed

d) decrease because wavelength must increase