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Question

In interference of two waves, two individual amplitudes are A0 each and the intensity is I0 each. The resultant amplitude at a point where phase difference between two waves is 60 is

A
2A0
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B
3A0
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C
A0
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D
2A0
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Solution

The correct option is B 3A0
Given:
Amplitudes of two waves, A1=A2=A0

Intensities of two waves, I1=I2=I0

Phase difference between two waves, ϕ=60

The formula for the resultant amplitude is given by,

A=A21+A22+2A1A2cosϕ

=A20+A20+2A20cos60

=3A0

The resultant amplitude at a point where phase difference between two waves is 60 is 3A0.

Hence, option (B) is correct.
Why this question?
This question has been asked to test your retention skill for formulas of interference. Here, intensity has been given to confuse you. Sometimes the given data cannot be used.

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