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

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Q. 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

KEAMKEAM 2009Waves

Solution:

Given: Progressive wave $ y=A\text{ }sin(kx-cot) $
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] $