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The equation for a wave travelling in x-...

The equation for a wave travelling in x-direction on a string is :
`y = (3 cm) sin [(pi cm^(-1)) x - (314)s^(-1)t]`
Then find acceleration of a particle at `x = 6` cm at `t = 0.11` sec-

A

`2952 cm//s^(2)`

B

`5904 cm//s^(2)`

C

`2952 m//s^(2)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D

`v=(del)/(delt)`
&`a=(delv)/(delt)`
`:. a= -(9.4m//s)(314s^(-1))sin`
`[(picm^(-1))x-(3145^(-1))t]`
`a=-[(2952m//s^(2))sin[(314cm^(-1))x-(314s^(-1))t)`
for `x = 6 cm` at `t = 0.11` sec.
`a = - (2952 m//s^(2)) sin (6pi - 11pi) = 0`
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