In a medium in which a transverse prograssive wave is travelling, the phase difference between two points with a separation of 1.25 cm is `(pi//4). If the frequancy of wave is 1000 Hz. Its velocity will be

Options

A. `10^(4) m//s`
B. `125 m//s`
C. `100 m//s`
D. `10 m//s`

Answer

c

Explanation

`Deltaphi=(2pi)/(lambda)Deltax`
`(pi)/(4)=(2pi)/(lambda)xx(1.25)/(100)`
on solving, we get
`lambda=(1)/(10)m//s`
`u=nlambda=1000xx(1)/(10)=100 m//s`