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For the transverse wave equation y = A s...

For the transverse wave equation `y = A sin(pix + pit)`, choose the correct option at `t =0`

A

points at `x = 0 and x = 1` are at mean positions

B

points at `x = 0.5 and x = 1.5` have maximum accelerations

C

points at `x = 0.5 and x = 1.5` are at rest

D

the given wave is travelling in negative x-direction

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`y = A sin (pix + pit)`
`v_(p) = (dely)/(delt) = piA cos(pix + pit)`
`a_(p) = (del^(2)y)/(delt^(2)) = pi^(2) A sin (pix + pit)`
Now, subsitute `t=0` and given value of `x`. Since, `omegat and kx` are of same sign, hence the wave is travelling in negative x-direction.
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