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Phase Difference

Two waves are...

Question

Two waves are given as $y_{1} = 3 A cos (ω t - k x)$ and $y_{2} = A cos (3 ω t - 3 k x)$ . Amplitude of resultant wave will be __________.

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Solution

$y_{1} = 3 A c o s (w t - k x)$
$y_{2} = A c o s (w t - 3 k x)$
As both waves are in the same phase and moving in same direction so resultant amplitude will be added directly
$A_{n e t} = 3 A + A$
$A_{n e t} = 4 A$

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