A progressive wave y=A sin (kx-wt) is reflected by a rigid wall at x=0. Then the reflected can be represented by?
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Answer:
y = A sin (k x + ω t)
Explanation:
given,
progressive wave
y =A sin ( k x- ω t)
when the wave is reflected back from the wall the phase difference will be equal to π
and the displacement will be taken as -x
now,
y =A sin ( ( k (-x) - ω t) + π)
sin (π + θ ) = - sin θ
In third quadrant sin value have negative sign.
y = - A sin ( - k x - ω t)
sin(-θ ) = - sin θ
y = A sin (k x + ω t)
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