Wave Motion NEET Questions

Physics - Oscillations and Waves

Wave Motion MCQ Questions


13.
The displacement y(x, 0) = a sin(kx) at t = 0 repeats its value when x changes by:
A.
λ = 2π/k (one full wavelength)
B.
λ = 4π/k (two full wavelengths)
C.
λ = k/2π
D.
λ = π/k (half a wavelength)
😑 View Answer Rough Work Error
ANSWER :
A. λ = 2π/k (one full wavelength)
14.
The angular wave number k = 2π/λ represents physically:
A.
The speed of the wave
B.
The number of wavelengths per unit time
C.
The rate of change of phase with respect to position — how many radians of phase are accumulated per unit length
D.
The rate of change of amplitude with position
😑 View Answer Rough Work Error
ANSWER :
C. The rate of change of phase with respect to position — how many radians of phase are accumulated per unit length
15.
Two progressive waves are described by y₁ = 3 sin(2x − 4t) and y₂ = 3 sin(4x − 4t) (SI units). The ratio of their wavelengths λ₁ : λ₂ is:
A.
2 : 1 (since k₁ = 2 and k₂ = 4, so λ₁ = π and λ₂ = π/2)
B.
1 : 2
C.
4 : 2
D.
1 : 1
😑 View Answer Rough Work Error
ANSWER :
A. 2 : 1 (since k₁ = 2 and k₂ = 4, so λ₁ = π and λ₂ = π/2)
16.
The angular frequency ω of a progressive wave is related to the time period T and linear frequency ν by:
A.
ω = 1/T = ν
B.
ω = 2πT
C.
ω = T/2π = ν/2π
D.
ω = 2π/T = 2πν
😑 View Answer Rough Work Error
ANSWER :
D. ω = 2π/T = 2πν
17.
A progressive wave has angular frequency ω = 3.0 rad/s. Its time period T and frequency ν are:
A.
T = 2π × 3 ≈ 18.85 s ; ν = 1/18.85 Hz
B.
T = ω/2π = 3/(2π) ≈ 0.477 s ; ν = 2π/ω ≈ 2.09 Hz
C.
T = 3 s ; ν = 1/3 Hz
D.
T = 2π/ω = 2π/3 ≈ 2.09 s ; ν = ω/2π = 3/(2π) ≈ 0.477 Hz
😑 View Answer Rough Work Error
ANSWER :
D. T = 2π/ω = 2π/3 ≈ 2.09 s ; ν = ω/2π = 3/(2π) ≈ 0.477 Hz
18.
The time period of a wave is defined as:
A.
The reciprocal of the wavelength
B.
The time taken by the wave to travel one wavelength
C.
The time taken for the wave amplitude to decrease to half its value
D.
The time taken by any element of the medium to complete one full oscillation as the wave passes over it
😑 View Answer Rough Work Error
ANSWER :
D. The time taken by any element of the medium to complete one full oscillation as the wave passes over it