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Question

Two identical waves interfere at a point in the same medium having amplitudes 3 cm and 5 cm. Which of the resultant amplitude is not possible?

A
2 cm
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B
5 cm
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C
6 cm
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D
9 cm
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Solution

The correct option is D 9 cm
The resultant amplitude,

Anet=A21+A22+2A1A2cosϕ

For maximum amplitude, cosϕ=1Anet=|A1+A2|=|5+3|=8 cm

For minimum amplitude, cosϕ=1Anet=|A1A2|=|53|=2 cm

Therefore, the net amplitude lies between 2 cm and 8 cm.

Hence, option (D) is the correct answer.

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