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Two progressive waves having equation x(...

Two progressive waves having equation `x_(1) = 3 sin omegatau` and `x_(2) = 4 sin (omegatau + 90^(@))` are superimposed. The amplitude of the resultant wave is

A

5 unit

B

1 unit

C

3 unit

D

4 unit

Text Solution

Verified by Experts

The correct Answer is:
D
`x_(1) = 2 sin omega t " and "x_(2) = 4 sin (omegat +90^(@))`
The phase difference between the two waves is `90^(@)` So, resultant amplitude
`a = sqrt((3)^(2)+(4)^(2))=sqrt(9+16)=sqrt(25) = 5 " unit"`
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