Question

# Two waves of same amplitude and frequency and travelling in same direction are superimposed each other to give rise to a resultant wave of amplitude √(2)A. The phase difference between the waves are

A
θ=π
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B
θ=π/2
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C
θ=3π/2
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D
θ=π/4
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Solution

## The correct option is B θ=π/2The resultant of two waves is given by R2=A2+B2+2ABcosθ;θ is the phase difference and A and B are the amplitudes of the individual waves.Since both the waves are identical, their amplitudes are equalSince R2=2A2, Substituting, we get θ=π/2The correct option is (b)

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