Wave Motion NEET Questions

Wave Motion MCQ Questions

7.
The amplitude 'a' of a sinusoidal progressive wave y = a sin(kx − ωt + φ) represents:
A.
The distance between two consecutive crests
B.
The total distance travelled by the wave in one period
C.
The average displacement of the medium
D.
The maximum displacement of any element of the medium from its equilibrium (mean) position
ANSWER :
D. The maximum displacement of any element of the medium from its equilibrium (mean) position
8.
The amplitude of a wave can be taken as positive without any loss of generality because:
A.
The wave equation only involves the square of amplitude
B.
Displacement can never be negative
C.
Amplitude is defined as absolute displacement and is physically always positive
D.
Changing the sign of 'a' is equivalent to adding π to the phase constant φ, which is already an arbitrary constant
ANSWER :
D. Changing the sign of 'a' is equivalent to adding π to the phase constant φ, which is already an arbitrary constant
9.
Two sinusoidal progressive waves have the same frequency and wavelength but different amplitudes a₁ = 3 cm and a₂ = 5 cm. Compared to the first wave, the second wave carries:
A.
5/3 times less energy
B.
About 2.78 times more energy (since energy ∝ a², ratio = 25/9 ≈ 2.78)
C.
About 1.67 times more energy (since energy ∝ a, ratio = 5/3)
D.
The same energy (amplitude does not affect energy)
ANSWER :
B. About 2.78 times more energy (since energy ∝ a², ratio = 25/9 ≈ 2.78)
10.
The angular wave number k is defined as:
A.
k = λ/2π
B.
k = 2π/λ, where λ is the wavelength
C.
k = 1/λ
D.
k = 2πλ
ANSWER :
B. k = 2π/λ, where λ is the wavelength
11.
The wavelength λ of a progressive wave is defined as:
A.
The maximum displacement of the medium
B.
The distance the wave travels in one time period
C.
Half the distance between a crest and the nearest trough
D.
The minimum distance between two points of the medium that have exactly the same phase at any given instant
ANSWER :
D. The minimum distance between two points of the medium that have exactly the same phase at any given instant
12.
A wave has angular wave number k = 0.018 rad/cm. Its wavelength is:
A.
λ = 0.018/2π ≈ 0.00287 cm
B.
λ = 2π/0.018 ≈ 349 cm ≈ 3.49 m
C.
λ = 2π × 0.018 ≈ 0.113 cm
D.
λ = 0.018 cm
ANSWER :
B. λ = 2π/0.018 ≈ 349 cm ≈ 3.49 m