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If two waves having amplitudes 2 A and A...

If two waves having amplitudes 2 A and A and same frequency and velocity, propagate in the same direction in the same phase, the resulting amplitude will be

A

a

B

3a

C

0

D

`sqrt3a`

Text Solution

Verified by Experts

The correct Answer is:
B
`R = sqrt(A_(1)^(2) + A_(2)^(2) + 2A_(1)A_(2) cos theta)`
`:' theta = 0^(@), R = A_(1) + A_(2) = a + 2a = 3a`
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