The equation of a progressive wave is `y =4 sin (4 pi t-0.04 x+pi/3)` where x is in metre and t is in second. The velocity of the wave is

Options

A. `100 pi ms^(-1)`
B. `50 pi ms^(-1)`
C. `25 pi ms^(-1)`
D. `pi ms^(-1)`

Answer

A

Explanation

The equation of the progresive wave is given as `y=4 sin (4 pi t-0.04+pi//3)`.
The velocity of the wave would be equal to
`omega/k=(4pi)/0.04=100 pi ms^(-1)`