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Two identical sinusoidal waves each of a...

Two identical sinusoidal waves each of amplitude 5 mm with a phase difference of `pi//2` are traveling in the same direction in a string. The amplitude of the resultant wave (in mm) is

A

Zero

B

`5sqrt(2)`

C

`5//sqrt(2)`

D

2.5

Text Solution

Verified by Experts

The correct Answer is:
B
`A=sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)cosphi)`
`A_(1)=A_(2)=5mm, phi=(pi)/(2)`
`A=sqrt(5^(2)+5^(2)+2xx5xx5xxcos"(pi)/(2))=5sqrt(2)mm`
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