Wave motion, longitudinal and transverse waves, speed of travelling wave, displacement relation for a progressive wave - One Line Questions

1. Two points on a wave are in the same phase if their phase difference is: — 2π
2. What is the phase difference between two points separated by half a wavelength (λ/2) in a travelling wave? — π
3. What is the phase difference between two points separated by one wavelength (λ) in a travelling wave? — 2π
4. The displacement of a particle in a progressive wave is given by y = 0.01 sin(2π(t/0.05 - x/2)), where x and y are in meters and t is in seconds. What is the wavelength? — 2 m
5. A sinusoidal wave is described by y(x, t) = 0.5 sin(20x - 40t), where x is in meters and t is in seconds. What is the wave speed? — 2 m/s
6. The speed of sound in air is approximately 340 m/s. If the frequency of a sound wave is 170 Hz, what is its wavelength? — 2 meters
7. If a wave travels 300 meters in 2 seconds, what is its speed? — 150 m/s
8. A wave has a frequency of 50 Hz and a wavelength of 2 meters. What is its speed? — 100 m/s
9. If a wave has an angular frequency ω = 100 rad/s and wave number k = 2 rad/m, what is its speed? — 50 m/s
10. For a wave described by y(x, t) = A cos(kx - ωt), the phase at position x and time t is: — kx - ωt
11. In the displacement relation y(x, t) = A sin(kx - ωt), the term (kx - ωt) represents: — Phase
12. The distance between two consecutive crests of a transverse wave is its: — Wavelength
13. The distance between two consecutive compressions in a longitudinal wave is its: — Wavelength
14. In the equation y(x, t) = A sin(kx - ωt), what does 'A' represent? — Amplitude
15. A wave is represented by y = A sin(Bt - Cx). The speed of the wave is given by: — C/B
16. If the frequency of a wave is doubled while its wavelength remains constant, its speed will: — Remain the same
17. If the wavelength of a wave is doubled while its frequency remains constant, its speed will: — Remain the same
18. For a mechanical wave to propagate, the medium must possess: — Elasticity and Inertia
19. Which type of wave requires a material medium for propagation? — Mechanical wave
20. A wave travelling with speed v has a wavelength λ. Its frequency f is given by: — f = v / λ
21. In the equation y(x, t) = A sin(kx - ωt), what does 'ω' represent? — Angular frequency
22. For a transverse wave on a string, if the tension T is increased, the wave speed will: — Increase
23. For a transverse wave on a string, if the linear mass density μ is increased, the wave speed will: — Decrease
24. Which of the following is NOT a characteristic of a progressive wave? — It is a superposition of incident and reflected waves
25. What is the relationship between wave number (k) and wavelength (λ)? — k = 2π / λ
26. The phase difference between two particles separated by distance Δx along the direction of propagation of a wave is: — k Δx
27. Which of the following is an example of a longitudinal wave? — Sound wave in air
28. What is the unit of wave number (k)? — radian/meter
29. In a transverse wave, the particles of the medium oscillate: — Perpendicular to the direction of wave propagation
30. In a longitudinal wave, the particles of the medium vibrate: — Parallel to the direction of wave propagation
31. The equation y(x, t) = A sin(ωt - kx) represents a wave travelling in: — Positive x-direction
32. The equation y(x, t) = A sin(ωt + kx) represents a wave travelling in: — Negative x-direction
33. Which of the following is an example of a transverse wave? — Wave on the surface of water
34. Which quantity remains constant for all waves of a given frequency travelling in the same medium? — Speed
35. The speed of a wave on a string is independent of: — Frequency
36. A wave travelling along the positive x-axis can be represented by y(x, t) = f(x - vt). The term 'vt' represents: — The distance travelled by the wave in time t
37. The phase of a wave describes: — The state of oscillation of a particle at a given time and position
38. In the displacement relation y(x, t) = A sin(kx - ωt), the term 'kx' represents: — The phase due to position
39. The displacement-time graph of a particle in a wave shows its oscillation. The velocity of the particle is given by: — The slope of the displacement-time graph
40. The speed of a transverse wave on a stretched string depends on: — The tension in the string and the linear mass density of the string
41. What does the term 'progressive wave' imply? — The wave propagates through space, transferring energy
42. What is the condition for two waves to be in phase at a particular point and time? — Their phase difference is an even multiple of π
43. What is the fundamental characteristic of wave motion? — Transfer of energy without transfer of mass
44. Sound waves are an example of: — Longitudinal waves
45. The speed of a wave in a medium depends on the properties of the medium, not on the properties of the wave itself like frequency or amplitude. This statement is: — True for mechanical waves
46. What is the relationship between the speed of a travelling wave (v), its frequency (f), and its wavelength (λ)? — v = f λ
47. In the equation y(x, t) = A sin(kx - ωt), what does 'k' represent? — Wave number
48. The displacement of a particle in a progressive wave can be represented by the equation: — y(x, t) = A cos(kx - ωt)
49. Which of the following equations represents a wave travelling in the negative x-direction? — y(x, t) = A sin(kx + ωt)
50. What is the relationship between angular frequency (ω) and frequency (f)? — ω = 2πf
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