Waves Mock Test – Class 11 Physics

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

2. A table compares two cases for waves in the same medium.

The table is based on the condition that

3. A wave has wavelength . In one representation, this is the distance from one crest to the next crest. In another representation of a sound wave, the same wavelength would be the distance from

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

5. 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

6. A table compares ordinary Doppler effect and supersonic motion. Select the suitable row.

The fully suitable pair of rows is

7. A string fixed at both ends is vibrating in the fifth harmonic. Its length is , and the wave speed is . The frequency is

8. A progressive wave is given by , with SI units. The maximum particle speed is

9. A wave equation contains the phase . Another possible phase is written using the same and . The main difference between the two waves is

10. A string of length has total mass . Its linear mass density is

11. A student tries to solve a Doppler problem by using only the relative speed between source and observer. The safer correction is that for sound in air

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

13. 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

14. Newton’s formula for the speed of sound in a gas used . Its main limitation is that it assumes the pressure changes are

15. Study the table and choose the row that gives the suitable interpretation.

The row that is not suitable is

16. The equation represents a sinusoidal wave travelling in

17. Match the basic wave symbols with their meanings.

18. Study the table and identify the row that properly compares Newton’s and Laplace’s treatment of sound in a gas.

The fully suitable pair of rows is

19. An open pipe of length has sound speed . Its fundamental frequency is

20. Light from the Sun reaches Earth through mostly empty space. This observation supports the idea that light is

21. Assertion: Two overlapping small-amplitude waves can pass through each other without permanently changing their shapes.
Reason: In a linear medium, the resultant displacement during overlap is the algebraic sum of the individual displacements.

22. In an ideal gas, the absolute temperature changes from to , while the gas type remains the same. The speed of sound changes from to

23. Study the table for pulse reflection at boundaries and identify the mismatched row.

24. The relation shows that

25. Two sound waves of equal amplitude have frequencies and . The beat period and approximate pitch frequency are respectively

26. A sinusoidal wave is written as , where is in , is in , and is in . The amplitude, wavelength, and frequency are

27. A sound wave in a fluid has bulk modulus and density . A source produces frequency in this fluid. The wavelength is closest to

28. Use the graph description below.

An observer standing on the right side of the source hears

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

30. A wire fixed at both ends has fundamental frequency . Its tension is then increased by , and its length is increased by , while its linear mass density remains unchanged. The new fundamental frequency is closest to

31. 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

32. A string fixed at both ends has fundamental frequency . The frequency of its third harmonic is

33. A hand moves the end of a string up and down regularly many times. The disturbance produced on the string is more likely to be

34. A wave has period . At a fixed point of the medium, two instants separated by correspond to

35. A string wave, a closed pipe, and a Doppler case are described together.
I. A fixed string with loops vibrates in the -th harmonic.
II. A closed-open pipe supports .
III. A moving observer approaching a stationary source hears a higher frequency.
The supported statements are

36. 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

37. In the phase expression , the term is dimensionless because

38. A wave has time period and wavelength . Its frequency and wave speed are respectively

39. A displacement-time record is taken for one point of a vibrating string. The point reaches the same displacement with the same direction of motion every . This time interval represents

40. A standing wave on a string fixed at both ends has antinodes. The string length is , and the tension is . If the linear mass density is , the frequency of this mode is

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

42. Two wave records are compared.
I. Record P shows complete oscillations in .
II. Record Q has time period .
The frequencies of P and Q are respectively

43. A travelling disturbance has shape at . After time , the same shape has shifted a distance toward positive without changing form. Its displacement can be written as

44. Study the table and identify the mismatched statement.

45. Two waves of the same amplitude reach a point in phase. A third case has the same two waves reaching the point with phase difference . The resultant amplitudes in the two cases are respectively

46. A wave has wavelength . The nearest point that is in the same phase as a given crest is at a distance

47. A row in a notes table says, “Wave on a stretched string: particle displacement parallel to propagation.” The needed correction is

48. Study the table for a string fixed at both ends and identify the mismatched row.

49. The following statements compare transverse and longitudinal waves.
I. Transverse waves involve particle displacement perpendicular to propagation.
II. Longitudinal waves involve particle displacement parallel to propagation.
III. Only longitudinal waves can transfer energy.
IV. Sound in air is a common example of a longitudinal wave.
The supported set is

50. A standing wave is given by . At a position where , the amplitude of oscillation is