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Fore a transverse wave on a string, the string displacement is describrd by `y(x,t)=f(x-at)` where f represent a function and a is a negative constant. Then which of the following is//are correct statement(S)?A. the shape of the string at time `t=0` is given by `f(x)`B. the shape of wave form does not change as it moves along the stringC. waveform moves in +ve x-directionD. the speed of waveform is a

Answer» Correct Answer - a.,b.,d.
`y(x,0)=f(x)`. So, shape of string at `t=0` is given by `y=f(x)`
As velocity of wave `dx//dt=+a`, is constant, so shape of string does not change, or we can say `(x-at)` is constant. Thus, the shape of string remains the same.
As `a` is `-ve` and constant, so `dx//dt =-ve` and hence, wave is moving along `-ve x-`direction.
speed `=-a` and not a as speed cannot `be-ve`


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