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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Waves – Progressive Test

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1. A wave is represented by . At a fixed position, the phase difference between two instants separated by has magnitude

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2. Study the table and select the row that is not suitable for the usual Doppler effect of sound in still air.

Row	Case	Suitable relation
P	Observer moves toward stationary source
Q	Observer moves away from stationary source
R	Source moves toward stationary observer
S	Source moves away from stationary observer

a) Row R

b) Row Q

c) Row P

d) Row S

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3. Two points of a progressive wave are separated by . Their phase difference is

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4. A musician wants to double the wave speed on a string without changing the string itself. The required change in tension is

a) make the tension one-fourth

b) make the tension half

c) make the tension four times

d) make the tension twice

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5. The following situation describes a transverse wave on a string.

A pulse moves from left to right along a stretched string. At a particular instant, one small portion of the string is above its mean position and is moving downward.

What can be said about the wave and that portion of the string?

a) The pulse travels along the string, while the portion moves locally

b) The pulse and the string portion must both move left to right

c) The string portion cannot move because the pulse is already moving

d) The pulse must be longitudinal because the string portion moves

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6. A standing wave on a string fixed at both ends has nodes including the two ends. The harmonic number is

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7. In the same sinusoidal wave, a particle crosses its mean position. At that instant, its transverse particle speed and acceleration are respectively

a) maximum and zero

b) maximum and maximum

c) zero and zero

d) zero and maximum

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8. A string fixed at both ends is vibrating in a mode whose equation is consistent with , where is in . If the string length is , the harmonic number and wave speed are respectively

a) and

b) and

c) and

d) and

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9. An open pipe of physical length has end correction at each end. A closed pipe of physical length has the same end correction at its open end. Both contain air with sound speed . The ratio of their fundamental frequencies is closest to

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10. A sinusoidal wave on a string is , with SI units. The string has . If the amplitude is later increased by and the angular frequency is reduced to of its original value on the same string under the same tension, the new average power compared with the original becomes

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

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12. A sinusoidal wave has amplitude and angular frequency . The maximum acceleration of a medium particle is

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13. A standing wave on a string is represented by . The positions of nodes satisfy

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14. A wave is described by . A point of constant phase has position at . If , its position at is

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15. A student uses for a sound source moving toward a stationary observer. The same formula is then used for a moving observer approaching a stationary source. The error is that

a) observer speed belongs in the numerator

b) Doppler effect never applies to observers

c) source motion and observer motion are always identical in sound

d) the source frequency must become zero

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16. Study the table and identify the mismatched quantity-unit pair.

Row	Quantity	Usual unit
P	Angular frequency
Q	Wave number
R	Frequency
S	Wavelength

a) Row S

b) Row R

c) Row Q

d) Row P

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17. A node and the nearest antinode in a standing wave on a string are separated by . The wavelength of the waves forming the standing wave is

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18. A resonance tube closed by water at one end resonates with a tuning fork when the shortest air-column length is . Neglecting end correction, the wavelength of the sound is

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19. Two waves travel toward the east through different media. In wave I, particles move north-south. In wave II, particles move east-west. The correct classification is

a) wave I is transverse and wave II is longitudinal

b) both waves must be transverse

c) both waves must be longitudinal

d) wave I is longitudinal and wave II is transverse

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

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21. A closed resonance tube has first resonance length for a tuning fork. The wavelength of the sound is known to be . The end correction is

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22. A source of frequency and an observer move toward each other. The observer speed is , the source speed is , and the speed of sound is . The wavelength of sound in front of the moving source and the observed frequency are respectively

a) and

b) and

c) and

d) and

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23. A wave travelling from one medium into another has its frequency unchanged but its wavelength changes from to . If the original speed was , the new speed is

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24. Use the graph description below.

A moving sound source travels toward the right in still air. Wavefronts are drawn closer together on the right side of the source and farther apart on the left side.

An observer standing on the right side of the source hears

a) a lower frequency because the wavefront spacing is smaller

b) a higher frequency because the wavefront spacing is smaller

c) no sound because wavefronts cannot exist in front of a moving source

d) the same frequency because the source frequency must always be heard unchanged

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25. Study the table and identify the row that describes the phase quantities properly.

Row	Quantity	Meaning
P		Rate of phase change with time
Q		Rate of phase change with position
R		Constant phase shift
S		Number of oscillations per second

The mismatched row is

a) Row Q

b) Row P

c) Row R

d) Row S

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

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27. In an open pipe, end correction is introduced because

a) the antinode lies slightly beyond the open end

b) the closed end becomes a displacement antinode

c) the air column no longer has pressure variation

d) sound stops exactly at the geometrical end

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28. Two points on a sinusoidal wave are separated along the direction of propagation by a distance . Their phase difference due to this path difference is

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29. A string of length has mass . It is stretched with tension . The transverse wave speed on the string is

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30. Two particles of a medium are in the same phase in a travelling sinusoidal wave. Their possible separation along the wave direction is

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31. A compact comparison is made between light and sound.

Row	Wave	Vacuum propagation	Basic type
P	Sound	Can propagate	Mechanical
Q	Light	Can propagate	Electromagnetic
R	Sound	Cannot propagate	Mechanical
S	Light	Cannot propagate	Mechanical

The two suitable rows are

a) Q and R

b) R and S

c) P and S

d) P and Q

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32. A string fixed at both ends has its length doubled and its tension made four times, while its linear mass density remains unchanged. The new fundamental frequency compared with the old one is

a) halved

b) unchanged

c) four times

d) doubled

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33. A wave of frequency travels from string P to string Q under the same tension. String P has , and string Q has . If the wavelength in P is , the tension and wavelength in Q are respectively

a) and

b) and

c) and

d) and

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34. A single upward jerk is given to one end of a stretched rope. The disturbance travels along the rope only once. This disturbance is best called

a) a pulse

b) a periodic wave

c) a standing wave

d) a beat

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35. The first overtone of an open pipe and the first overtone of a closed pipe are compared. In terms of their fundamental frequencies, they are respectively

a) and

b) and

c) and

d) and

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36. A string wave has average power . The same string is driven so that the amplitude is halved and the frequency is tripled. The wave speed is unchanged. The new average power is

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37. Sound in air is best described as

a) a transverse electromagnetic wave

b) a stream of air particles moving permanently from source to listener

c) a wave that needs no medium

d) a longitudinal mechanical wave

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38. A string wave has wavelength and frequency . During one time period, the wave pattern advances by

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39. A sound wave reaches a listener through air. The wave propagation direction is from the source toward the listener. In the basic particle-motion picture, air particles mainly

a) stay permanently compressed after the sound has passed

b) drift steadily from the source to the listener

c) oscillate about mean positions while sound travels

d) move only upward and downward in all sound waves

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40. The unit is naturally associated with

a) amplitude

b) wave speed

c) frequency

d) wavelength

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41. A sound wave has frequency and another has frequency . Both travel in air at the same temperature. The ratio of their wavelengths is

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42. A claim says, “If a wave can travel without a material medium, it cannot carry energy.” The best response is that

a) only medium-based mechanical waves can carry energy

b) waves in vacuum must have zero frequency and energy

c) the claim is true for mechanical and electromagnetic waves

d) electromagnetic waves can transfer energy through vacuum

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43. In a wave on a rope, the wave speed is . At one instant, a small part of the rope has an upward particle velocity of . The most careful comparison is

a) the two speeds must be added to get

b) the wave speed must become

c) the particle velocity must always equal

d) wave speed and particle velocity describe different motions

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44. In a Mach cone, the semi-vertical angle is related to source speed and sound speed by

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45. A gas and a solid are both able to transmit sound. The main reason both can do so is that both

a) transport their entire mass permanently with the sound

b) have zero density

c) are electromagnetic fields

d) have particles that interact with neighbours

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46. A sound of frequency and another sound of frequency are compared. For a normal human ear, both are in the audible range, but the sound is heard as

a) lower pitched

b) having zero wavelength

c) necessarily louder

d) higher pitched

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47. In a standing wave on a string, a node is a point where

a) frequency becomes zero

b) wave speed becomes infinite

c) displacement is always maximum

d) displacement is always zero

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48. A pipe open at both ends vibrates in its fundamental mode. The length of the pipe is related to the wavelength by

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49. Use the graph description below.

A graph of resultant sound amplitude against time shows rapid oscillations inside a slowly varying envelope. The envelope has repeated maxima separated by .

The beat frequency is