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Question

Two sinusoidal waves each of amplitude 2A, travel in the same direction in a medium. If the phase difference between the two waves is 120, then find the resultant amplitude of the superimposed wave.

A
32A
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B
2A
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C
2A
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D
3A
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Solution

The correct option is B 2A
Given that,
Amplitude of each wave is 2A
Phase difference between two sinusoidal waves (ϕ)=120

The resultant amplitude is given by
A2r=A21+A22+2A1A2cosϕ
From the given data,

Ar=(2A)2+(2A)2+2(2A)(2A)cos(120)

Ar=8A2+8A2×(12)

Ar=4A2=2A

Hence option (b) is correct.

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