Displacement Relation for a Progressive Wave NEET Questions

Physics - Oscillations and Waves

Displacement Relation for a Progressive Wave MCQ Questions


1.
The standard displacement relation for a progressive (travelling) harmonic wave moving in the positive x-direction is:
A.
y(x,t) = A cos(kx − ωt) only — cosine form is not valid
B.
y(x,t) = A sin(kx + ωt + φ) — this represents a wave in the negative x-direction
C.
y(x,t) = A exp(kx − ωt) — exponential, not sinusoidal
D.
y(x,t) = A sin(kx − ωt + φ), where A = amplitude, k = wave number, ω = angular frequency, φ = initial phase
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ANSWER :
D. y(x,t) = A sin(kx − ωt + φ), where A = amplitude, k = wave number, ω = angular frequency, φ = initial phase
2.
A progressive wave moving in the NEGATIVE x-direction is represented by:
A.
y(x,t) = A sin(kx + ωt + φ)
B.
y(x,t) = A sin(ωt − kx)
C.
y(x,t) = A sin(kx − ωt + φ)
D.
y(x,t) = −A sin(kx − ωt)
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ANSWER :
A. y(x,t) = A sin(kx + ωt + φ)
3.
The phase of a progressive wave y = A sin(kx − ωt + φ) at position x and time t is:
A.
kx only (the spatial part)
B.
−ωt only (the temporal part)
C.
(kx − ωt + φ) — the entire argument of the sine function
D.
φ only (the initial phase)
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ANSWER :
C. (kx − ωt + φ) — the entire argument of the sine function
4.
The initial phase constant φ in the wave equation y = A sin(kx − ωt + φ) depends on:
A.
The frequency of the wave only
B.
The choice of origin (x = 0) and the initial time (t = 0) — it sets the initial displacement and velocity of the source
C.
The medium through which the wave travels
D.
The amplitude of the wave
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ANSWER :
B. The choice of origin (x = 0) and the initial time (t = 0) — it sets the initial displacement and velocity of the source
5.
The AMPLITUDE (A) in the wave equation y = A sin(kx − ωt) is defined as:
A.
The displacement at x = 0 when t = 0
B.
The speed of the wave in the medium
C.
The total range of displacement (from −A to +A)
D.
The maximum displacement of a particle from its equilibrium (mean) position
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ANSWER :
D. The maximum displacement of a particle from its equilibrium (mean) position
6.
The displacement of a particle in a wave is y = 5 sin(2πx − 4πt + π/3) cm. The amplitude of the wave is:
A.
2π cm
B.
π/3 cm
C.
4π cm
D.
5 cm
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ANSWER :
D. 5 cm