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

Answer

D

Explanation

As `Y= A sin (omega t-kx+ phi)`
`omega=2pi f=(2pi)/pi=2[becausef=1/pi]`
`k=(2pi)/pi=(2pi)/pi=1[becauselamda=2pi]`
`therefore y= sin (2t-x+phi)[because A=1m]`