Displacement Relation for a Progressive Wave NEET Questions

Physics - Oscillations and Waves

Displacement Relation for a Progressive Wave MCQ Questions


7.
If the amplitude of a wave is doubled while all other parameters remain constant, the intensity of the wave:
A.
Remains unchanged
B.
Becomes 8 times (I ∝ A³)
C.
Doubles (I ∝ A)
D.
Becomes 4 times (since intensity I ∝ A²)
😑 View Answer Rough Work Error
ANSWER :
D. Becomes 4 times (since intensity I ∝ A²)
8.
The ANGULAR WAVE NUMBER (k) in the wave equation y = A sin(kx − ωt) is defined as:
A.
k = v/λ (wave speed divided by wavelength)
B.
k = λ/2π
C.
k = 2πν (angular frequency)
D.
k = 2π/λ (in rad/m), where λ is the wavelength
😑 View Answer Rough Work Error
ANSWER :
D. k = 2π/λ (in rad/m), where λ is the wavelength
9.
The WAVELENGTH (λ) is defined as:
A.
The shortest distance between two points in a wave that have the same phase (are in the same state of vibration) — also the distance between two consecutive crests or troughs
B.
The distance a wave travels in one second
C.
The maximum displacement from the equilibrium position
D.
The time taken for one complete oscillation
😑 View Answer Rough Work Error
ANSWER :
A. The shortest distance between two points in a wave that have the same phase (are in the same state of vibration) — also the distance between two consecutive crests or troughs
10.
The wave equation y = 2 sin(4πx − 8πt) cm gives a wavelength of:
A.
2 cm
B.
π/2 cm
C.
4π cm
D.
0.5 cm (λ = 2π/k = 2π/4π = 1/2 cm)
😑 View Answer Rough Work Error
ANSWER :
D. 0.5 cm (λ = 2π/k = 2π/4π = 1/2 cm)
11.
The distance between a crest and the nearest trough in a progressive wave is:
A.
λ/4
B.
λ (one wavelength)
C.
λ/2 (half the wavelength)
D.
3λ/4
😑 View Answer Rough Work Error
ANSWER :
C. λ/2 (half the wavelength)
12.
In a transverse wave, the least distance between two particles vibrating in phase (same phase) is:
A.
λ/2
B.
2λ
C.
λ (one complete wavelength)
D.
λ/4
😑 View Answer Rough Work Error
ANSWER :
C. λ (one complete wavelength)