Principle of Superposition of Waves and Reflection of Waves NEET Questions

Principle of Superposition of Waves and Reflection of Waves

Principle of Superposition of Waves and Reflection of Waves MCQ Questions

7.
For two waves with equal amplitude a and phase difference φ, complete destructive interference (zero resultant amplitude) occurs when:
A.
φ = 2π giving A = 0
B.
φ = π (or 3π, 5π, …) giving A = 2a cos(π/2) = 0
C.
φ = π/2 giving A = 0
D.
φ = 0 giving A = 0
ANSWER :
B. φ = π (or 3π, 5π, …) giving A = 2a cos(π/2) = 0
8.
Two waves y₁ = a sin(kx−ωt) and y₂ = a sin(kx−ωt+π) are superposed. The resultant y = y₁ + y₂ equals:
A.
y = 0 everywhere at all times (complete destructive interference)
B.
y = 2a sin(kx−ωt+π/2)
C.
y = a sin(2kx−2ωt)
D.
y = 2a sin(kx−ωt)
ANSWER :
A. y = 0 everywhere at all times (complete destructive interference)
9.
Two waves with equal amplitude a are in phase (φ = 0). The resultant displacement and intensity compared to a single wave are:
A.
Displacement amplitude = a; Intensity = same as single wave
B.
Displacement amplitude = 2a; Intensity = 2 × single wave intensity
C.
Displacement amplitude = a√2; Intensity = 2 × single wave intensity
D.
Displacement amplitude = 2a (doubled); Intensity = 4 × single wave intensity
ANSWER :
D. Displacement amplitude = 2a (doubled); Intensity = 4 × single wave intensity
10.
The resultant of two waves y₁ = a sin(kx−ωt) and y₂ = a cos(kx−ωt) is:
A.
y = 2a sin(kx−ωt) with amplitude 2a
B.
y = a√2 sin(kx−ωt+π/4) with amplitude a√2 and phase shift π/4
C.
y = a sin(kx−ωt+π/2) with amplitude a
D.
y = 0 since sine and cosine cancel
ANSWER :
B. y = a√2 sin(kx−ωt+π/4) with amplitude a√2 and phase shift π/4
11.
For two superposing waves A sin(kx−ωt) and B cos(kx−ωt), the resultant amplitude is:
A.
√(A² − B²)
B.
A − B
C.
√(A² + B²)
D.
A + B
ANSWER :
C. √(A² + B²)
12.
Two sinusoidal waves of unequal amplitudes a₁ and a₂ and phase difference φ are superposed. The resultant amplitude is:
A.
√(a₁² + a₂² + 2a₁a₂ cosφ)
B.
a₁ + a₂
C.
a₁ − a₂
D.
√(a₁² − a₂² + 2a₁a₂ sinφ)
ANSWER :
A. √(a₁² + a₂² + 2a₁a₂ cosφ)