In a medium in which a transverse progressive wave is travelling to the phase difference between two points with a distance of separation is 1.25 cm is `pi/4`. If the frequency of wave is 1000 Hz, its velocity will be

Options

A. `10^4 ms^-1`
B. `125 ms^-1`
C. `100 ms^-1`
D. `10 ms^-1`

Answer

C

Explanation

`/_\phi=pi/4,/_\x=1.25cm,n=1000Hz`
`/_\phi=(2pi)/(lambda)xx/_\x`
`lambda=(2pi)/(/_\phi)xx/_\x`
`=(2pi)/(pi/4)xx1.25xx10^-2`
`=2xx4xx1.25xx10^-2`
`=10xx10^-2`
`lambda=0.1m`
`implies "velocity",V=nlambda`
`=1000xx0.1`
`:.V=100ms^-1`