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A progressive wave is represented by y =...

A progressive wave is represented by `y = 12 sin (5t - 4x)` cm. On this wave, how far away are the two points having phase difference of `90^circ` ?

A

`pi//4`

B

`pi//8`

C

`pi//16`

D

`pi//32`

Text Solution

Verified by Experts

The correct Answer is:
B

`k = 4 " " :. (2pi)/(lamda) =4 " " :. lamda = (pi)/(2)`
`delta = (2pix)/(lamda) = (2pi x)/((pi//2)) = 4x`
`:. x = (delta)/(4) = (pi)/(2 xx 4) = (pi)/(8)`
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