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Question

Two waves, y1=2acosωt and y2=3acos(ωt+π2) meet at a point. The amplitude of the resultant wave is

A
a
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B
5a
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C
3.6a
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D
2.5a
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Solution

The correct option is C 3.6a
Given:
y1=2acosωt
y2=3acos(ωt+π2)
So, the amplitudes of wave are,
A1=2a and A2=3a
Also, phase difference,
α=π2
We know that resultant amplitude of superposition of two waves is given by,
A=A21+A22+2A1A2cosα
A=(2a)2+(3a)2+2×2a×3a×cosπ2
A=13a2=3.6a

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