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Following are equations of four waves : ...

Following are equations of four waves :
(i) `y_(1) = a sin omega ( t - (x)/(v))`
(ii) `y_(2) = a cos omega ( t + (x)/(v))`
(iii) `z_(1) = a sin omega ( t - (x)/(v))`
(iv) `z_(1) = a cos omega ( t + (x)/(v))`
Which of the following statements are correct ?

A

On superposition of wave `(i)` and `(iii)`, a travelling wave having amplitude `asqrt(2)` will be formed

B

Superposition of waves `(ii)` and `(iii)` is not possible

C

On superposition of `(i)` and `(ii)`, a stationary wave having amplitude `asqrt(2)` will be formed

D

On superposition of `(iii)`, and `(iv)`, a transervers stationary wave will be formed

Text Solution

Verified by Experts

The correct Answer is:
A, D
Use principal of superposition
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