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A wave of frequency 500 Hz has a wave ve...

A wave of frequency `500 Hz` has a wave velocity of `350 m//s`.
(a) Find the distance between two points which are `60@` out of phase.
(b) Find the phase difference between two displacement at a certain point at time `10^(-3) s` apart.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
(a) `Delta phi = (2 pi)/(lambda) (Deltax)`
:. `Deltax = (lambda Delta phi)/(2 pi) = (nu(Delta phi))/((f)(2 pi)`
=` ((350)(pi//3))/((500)(2 pi))`
`= 0.1166 m = 11.7 cm`
(b) `Delta phi = ((2 pi)/(T)) Delta t = (2 pi f) Delta t`
`= (2 pi)(500)(10^(-3))`
`= pi` or `180^(@)`
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