When a wave is reflected from a rigid boundary (fixed end of a string), the reflected wave undergoes
A{'text': 'No phase change', 'label': 'A'}
B{'text': 'Amplitude doubling', 'label': 'B'}
C{'text': 'A phase change of π/2 (90°)', 'label': 'C'}
D{'text': 'A phase change of π (180°)', 'label': 'D'}
Answer & Solution
Correct answer: D. {'text': 'A phase change of π (180°)', 'label': 'D'}
1. At a fixed (rigid) end, boundary condition requires zero displacement.
2. The reflected wave must cancel the incident at that point.
3. This forces a phase change of π on reflection from a rigid boundary.
4. At a free end (open string end), the reflection has NO phase change.
_Source: NCERT Class 11 Physics, Ch 14 "Waves", §14.6_
Related questions
If a source emits sound of frequency 500 Hz and moves at 20 m/s toward a stationary observNewton's formula for the speed of sound in air (assuming isothermal process) predicted a vFor a longitudinal wave in air, the excess pressure and displacement are related such thatThe wave equation y = 0.05 sin(20πx − 100πt) SI units. The wave speed isThe fundamental frequency of a vibrating string of length L, tension T, linear density μ iTwo waves overlap to produce a standing wave on a string. The nodes are points whereThe speed of light in vacuum isLongitudinal waves are best exemplified by