Two particles separated by a distance 16.5 mm in a progressive wave has a phase difference of `3pi//8` rad. If the number of waves passing across a point in the medium in 1s is 3750, then the velocity of wave will be

Options

A. 3300 m/s
B. 330 cm/s
C. 330 m/s
D. 1650 m/s

Answer

C

Explanation

`x = 16.5 xx 10^(-3) m`
`delta = (2pi x)/(lamda) :. lamda = (2pi x)/(delta) = (2pi xx 16.5 xx 10^(-3))/((3pi)/(8))`
`lamda = (8 xx 2 xx 16.5 xx 10^(-3))/(3)`
`v = n lamda = (3750 xx 8 xx 2 xx 16.5 xx 10^(-3))/(3)`
`= 330 m//s`