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A wave travelling in the +ve x-direction...

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

A

`y= sin (2pi x+ 2pi t)`

B

`y= sin (x- 2t)`

C

`y= sin (2pi x- 2pit )`

D

`y= sin (10pi x -20 pit )`

Text Solution

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The correct Answer is:
B
`k= (2pi)/(lambda)= (2pi)/(2pi)= 1` and `omega= 2pif= 2pi(1)/(pi)= 2`
`y= sin(kx-omegat)= sin(x-2t)`
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