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One end of a taut string of length 3m al...

One end of a taut string of length 3m along the x axis is fixed at x = 0. The speed of the waves in the string is
`100 ms^(-1)`. The other end of the string is vibrating in the direction so that stationary waves are set up in the string. the possible waveform of these stationary waves is (are)

A

`y(t) = A sin (pi x/6) cos (5 pi t/3)`

B

`y(t) = A sin (pi x/3) cos (100 pi t/3)`

C

`y(t) = A sin (5pi x/6) cos (250 pi t/3)`

D

`y(t) = A sin (5pi x/2) cos 250 pi t`

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