Principle of Superposition of Waves and Reflection of Waves NEET Questions

Principle of Superposition of Waves and Reflection of Waves MCQ Questions

13.
Two waves y₁ = 3 sin(kx−ωt) cm and y₂ = 4 sin(kx−ωt+π/2) cm are superposed. The resultant amplitude is:
A.
1 cm
B.
7 cm
C.
3.5 cm
D.
5 cm
ANSWER :
D. 5 cm
14.
When two wave pulses travelling toward each other completely overlap and the net displacement becomes zero momentarily, the energy of the system at that instant is:
A.
Transferred outside the medium
B.
Zero — energy is temporarily destroyed
C.
Entirely kinetic energy of the medium particles
D.
Entirely in the form of elastic potential energy of the deformed medium (kinetic energy of particles is also present)
ANSWER :
D. Entirely in the form of elastic potential energy of the deformed medium (kinetic energy of particles is also present)
15.
Two identical pulses — one a positive hump and one a negative hump — travel toward each other on a string. At the instant they completely overlap, the string appears:
A.
Shows two separate humps that have stopped moving
B.
Completely flat (zero displacement), but the string particles are moving rapidly
C.
Shows a pulse of double amplitude
D.
Is indistinguishable from a string with no wave
ANSWER :
B. Completely flat (zero displacement), but the string particles are moving rapidly
16.
After two wave pulses pass through each other during superposition, each pulse:
A.
Has its speed doubled due to energy gained
B.
Continues with its original shape, speed, amplitude and direction as if no interaction occurred
C.
Has its amplitude doubled
D.
Splits into multiple smaller pulses
ANSWER :
B. Continues with its original shape, speed, amplitude and direction as if no interaction occurred
17.
Two identical sinusoidal waves y₁ = a sin(kx−ωt) and y₂ = a sin(kx+ωt) travelling in OPPOSITE directions are superposed. The resultant y is:
A.
y = 2a sin(kx−ωt) — a travelling wave of double amplitude
B.
y = a² sin(kx) cos(ωt) — a standing wave with amplitude a²
C.
y = 0 — complete cancellation
D.
y = 2a sin(kx) cos(ωt) — a standing wave
ANSWER :
D. y = 2a sin(kx) cos(ωt) — a standing wave
18.
In the standing wave y = 2a sin(kx) cos(ωt), the key distinction from a progressive wave is:
A.
The amplitude is halved compared to the constituent waves
B.
The frequency is doubled compared to the constituent waves
C.
kx and ωt appear separately (not in the combination kx±ωt), so the wave pattern does not travel
D.
Particles oscillate perpendicular to the string
ANSWER :
C. kx and ωt appear separately (not in the combination kx±ωt), so the wave pattern does not travel