A transvrs wave propagating along x-axis is represented by
y(x,t) `=80.. Sin (0.5 pi x-4pi t-(pi)/(4))`. Where x is in metress and t is seconds. The speed of the wave is :

Options

A. `4i m//s`
B. `(pi)/(4) m//s`
C. `8 m//s`
D. `0.5 pi m//s`

Answer

C

Explanation

`y(x,t)=8.0 sin (0.5 pi x-4pi t-(pi)/(4))`
`y(x,t)=a sin (kx-omega t-varphi)`
`k=0.5 pi , omega= 4pi`
`v=(omega)/(k)=(4pi)/(0.5 pi)=8 m//s`