A wave travelling in the `+ve` x-direction having displacement along y-direction as 1`m`, wavelength `2pi` m and frequency of `1//pi` Hz is represented by

Options

A. `y=sin(x-2t)`
B. `y=sin(2pi x - 2pi t)`
C. `y=sin(10pi x-20 pi t)`
D. `y=sin(2pi x+2pi t)`

Answer

A

Explanation

`y=a sin (omegat-kx)`
`" "`OR
`y=a sin(kx-omegat)`
`therefore y=sin[x-2t] " "`...(1)
`k=(2pi)/(lambda)=(2pi)/(2pi)`
`omega=2pi.v=2pi.(1)/(pi)=2`
`a=1m`