Wave Motion NEET Questions

Physics - Oscillations and Waves

Wave Motion MCQ Questions


1.
The standard displacement relation for a sinusoidal progressive wave travelling in the POSITIVE x-direction is:
A.
y(x, t) = a sin(ωt) · sin(kx)
B.
y(x, t) = a sin(kx + ωt + φ)
C.
y(x, t) = a cos(kx + ωt)
D.
y(x, t) = a sin(kx − ωt + φ)
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ANSWER :
D. y(x, t) = a sin(kx − ωt + φ)
2.
In the wave equation y(x, t) = a sin(kx − ωt + φ), which set of symbols is correctly identified?
A.
a = wavelength, k = wave speed, ω = frequency, φ = amplitude
B.
a = angular frequency, k = amplitude, ω = wave number, φ = phase speed
C.
a = amplitude, k = angular wave number, ω = angular frequency, φ = initial phase constant
D.
a = time period, k = angular frequency, ω = amplitude, φ = wave number
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ANSWER :
C. a = amplitude, k = angular wave number, ω = angular frequency, φ = initial phase constant
3.
The displacement relation y(x, t) = a sin(kx − ωt + φ) can be equivalently written as a linear combination of sine and cosine as:
A.
y(x, t) = (A + B) sin(kx − ωt)
B.
y(x, t) = A sin(kx) + B cos(ωt)
C.
y(x, t) = A sin(kx − ωt) + B cos(kx − ωt), where a = √(A² + B²) and φ = tan⁻¹(B/A)
D.
y(x, t) = A sin(kx) · B cos(ωt)
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ANSWER :
C. y(x, t) = A sin(kx − ωt) + B cos(kx − ωt), where a = √(A² + B²) and φ = tan⁻¹(B/A)
4.
For the wave y(x,t) = a sin(kx − ωt + φ), the quantity (kx − ωt + φ) is called:
A.
The phase of the wave
B.
The wave speed
C.
The angular wave number
D.
The amplitude of the wave
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ANSWER :
A. The phase of the wave
5.
The initial phase constant φ in y(x, t) = a sin(kx − ωt + φ) is called 'initial' because:
A.
It is always zero at the start of motion
B.
It determines the initial speed of the wave
C.
It equals the value of the phase at x = 0 and t = 0
D.
It defines the initial amplitude of the wave
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ANSWER :
C. It equals the value of the phase at x = 0 and t = 0
6.
The displacement variable y in y(x, t) = a sin(kx − ωt + φ) is described as a function of BOTH x and t because:
A.
Waves travel only in the x-direction so t is not needed
B.
y depends only on x; t is included for mathematical convenience
C.
x represents amplitude and t represents frequency
D.
A wave involves both spatial periodicity (shape at any instant) and temporal periodicity (oscillation at any location), so y must depend on both position x and time t
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ANSWER :
D. A wave involves both spatial periodicity (shape at any instant) and temporal periodicity (oscillation at any location), so y must depend on both position x and time t