First slide

Stationary waves

Question

The stationary wave $y = 2 a \sin kx \cos ωt$ in a closed organ pipe is the result of the superposition of $y = a \sin (ω t - kx)$ and

Moderate

A

$y = - acos (ω t + kx)$
B

$y = - asin (ω t + kx)$
C

$y = asin (ω t + kx)$
D

$y = acos (ω t + kx)$

Solution

In closed organ pipe. If $y_{incident} = asin (ωt - kx)$
then $y_{reflected} = asin (ωt + kx + π) = - asin (ωt + kx)$
Superimposition of these two waves give the required stationary wave.

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