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Which two of the given transverse waves ...

Which two of the given transverse waves will give stationary waves then get superimposed?
`z_1=acos(kx-omegat)` .(A)
`z_2=acos(kx-omegat)` .(B)
`z_3=acos(ky-omegat)` .(C )

A

`z_1+z_2`

B

`z_1+z_3`

C

`z_3+z_1`

D

`z_1+z_2+z_3`

Text Solution

Verified by Experts

The correct Answer is:
A
Waves `z_1=Asin(kx-omegat)` is travelling towards positive x-direction
Wave `z_2=Asin(kx+omegat)`, is travelling towards negative x-direction.
Wave `z_3=Asin(kx-omegat)` is travelling towards positive y direction.
Since waves `z_1` and `z_2` are travelling along the same line so they will produce stationary wave.
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