A wave travelling in the +ve X-direction having maximum displacement along Y-direction as 1 m, wavelength `2pi` m and frequency `1/pi` and initial phase zero is represented by .....

Options

A. `y = sin (2pi x 0 2pit )`
B. `y = sin (10 pi x -20pi t )`
C. `y = sin (2pi x + 2pit)`
D. `y = sin (2t -x)`

Answer

D

Explanation

We have, `y =a sin (omega t - kx + phi)`
`therefore y = a sin (2pi f t -(2pi)/( lamda) x + phi)`
`therefore y = 1 xx sin (2pi xx (1)/(pi) xx t - (2pi)/(2pi) x + 0)`
`therefore y = sin (2t -x)`