1.

The (x, y) coordinates of the corners of a square plate are (0,0), (L,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)

Answer»

`a cos (pix// 2L) cos (pix//2L)`
`a SIN (pix // L ) sin (PIY // L)`
`a sin (pi y// L) sin (2pi y// L)`
`a cos (2pi X// L) sin (pi y // L)`

Answer :B::C::D


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