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Two waves having equations x1=asin(ome...

Two waves having equations
`x_1=asin(omegat+phi_1)`, ` x_2=asin(omegat+phi_2)`
If in the resultant wave the frequency and amplitude remain equal to those of superimposing waves. Then phase difference between them is

A

`pi//6`

B

`2pi//3`

C

`pi//4`

D

`pi//3`

Text Solution

Verified by Experts

The correct Answer is:
B
`A=sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)cosphi)`
`impliesa^(2)=a^(2)+a^(2)+2a^(2)cosphi`
`cosphi=-(1)/(2)impliesphi=(2pi)/(3)`.
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