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The (x, y) co-ordinates of the corners o...

The `(x, y)` co-ordinates of the corners of a square plate are `(0, 0)`, `(L, L)` and `(0, L)`. The edges of the plate are clamped and transverse standing waves are set up in it. If `u(x, y)` denotes the displacement of the plate at the point `(x, y)` at some instant of time, the possible expression `(s)` for `u` is (are) `(a = positive constant)`

A

`a cos(pix//2L) cos (piy//2L)`

B

`a sin(pix//L) sin(piy//L)`

C

`a sin(piy//L)sin(2piy//L)`

D

`acos(2pix//L)sin(piy//L)`

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The correct Answer is:
B, C, D
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