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Two waves y(1) =A(1) sin (omega t - b...

Two waves
` y_(1) =A_(1) sin (omega t - beta _(1)), y_(2)=A_(2) sin (omega t - beta_(2)`
Superimpose to form a resultant wave whose amplitude is

A

`sqrt(A_(1)^(2) + A_(2)^(2)+2A_(1)A_(2)cos (beta_(1)-beta_(2)))`

B

`sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)sin (beta_(1)-beta_(2)))`

C

`A_(1)+A_(2)`

D

`|A_(1)+A_(2)|`

Text Solution

Verified by Experts

The correct Answer is:
A
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