Mark correct option/s : (a) The phase of transmitted wave...

Name: Problem 54, Chapter 13: Arihant AIEEE Physics
Uploaded: 2021-09-14T18:30:22-08:00
Duration: 1 min 44 s
Channel: Supratim Pal
Description: Mark correct option/s : (a) The phase of transmitted wave always remains unchanged (b) The amplitude of transmitted wave does not depend upon the velocity of wave in media (c) The amplitude of reflected wave and transmitted wave are same to each other for a given incident wave (d) The amplitude of reflected wave is equal to the amplitude of incident wave

Mark correct option/s : (a) The phase of transmitted wave always remains unchanged (b) The amplitude of transmitted wave does not depend upon the velocity of wave in media (c) The amplitude of reflected wave and transmitted wave are same to each other for a given incident wave (d) The amplitude of reflected wave is equal to the amplitude of incident wave

Mark correct option/s :
(a) The phase of transmitted wave always remains unchanged
(b) The amplitude of transmitted wave does not depend upon the velocity of wave in media
(c) The amplitude of reflected wave and transmitted wave are same to each other for a given incident wave
(d) The amplitude of reflected wave is equal to the amplitude of incident wave

Key Concepts

Phase Change in Reflected and Transmitted Waves

The phase of a wave can change when it reflects or transmits at a boundary. Typically, a wave reflecting from a medium where the wave speed is lower (or the impedance is higher) undergoes a phase reversal of ?, while a wave reflecting from a lower impedance medium does not. However, the transmitted wave’s phase is primarily determined by the need to match the phase of the incident wave at the boundary, although its overall phase progression may differ due to differences in propagation speed in the second medium.

Impedance Mismatch and Amplitude Relationship

The amplitudes of the reflected and transmitted waves are determined by the impedance mismatch between the two media, where impedance is often a function of properties like the wave speed and density. A greater mismatch usually results in a larger fraction of the incident wave being reflected, while the transmitted amplitude is adjusted to satisfy energy conservation and the boundary conditions. This relationship shows that neither amplitude nor phase is independent of the properties of the media involved.

Boundary Conditions in Wave Propagation

When a wave encounters the interface between two different media, the laws of physics require that certain conditions be met at the boundary. Specifically, the continuity of displacement (or another similar field quantity) and its derivative ensures that the incident wave generates both reflected and transmitted waves in a way that conserves energy and momentum. These conditions determine the relative amplitudes and phases of the reflected and transmitted waves.

Please give Ace some feedback