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Resultant Amplitude

Two waves of ...

Question

Two waves of equal amplitudes and wavelengths but differing in phase are superimposed. Amplitude of resultant wave is maximum when phase difference is

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Solution

Resultant amplitude is given by,

$A_{R} = \sqrt{A_{1}^{2} + A_{2}^{2} + 2 A_{1} A_{2} cos ϕ}$

For resultant amplitude to be maximum, $cos ϕ = 1$

$\Rightarrow ϕ = 0$

Hence, option $(A)$ is correct.

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