A progressive wave `y=A sin (kx-omega t)` is reflected by a rigid wall at x=0. Then the reflected wave can be represented by

Options

A. a)`y=a sin (kx+omega t)`
B. b)`y=A cos (kx+ omega t)`
C. c)`y=-A sin (kx- omega t)`
D. d)`y=-A sin (kx+ omega t)`

Answer

D

Explanation

Given:
Progressive wave y=A sin (kx- `omega t)`
When reflected by rigid wall progressive wave `y.=A sin[k(-x)-omega t]`
or `y.=A sin[-(kx+omega t)]`
or `y.= -A sin [kx+ omega t]`