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 expressions for u are

a.a cos(pie x /2L) cos(pie y/2L)

b.a sin(pie x /L) sin(pie y/L)

c.a sin(pie x /L) sin(2pie y/L)

d.a cos(2pie x /L) sin(pie y/L)

Dear Vishnu Ananthan,

Ans: Except a, all the others viz b,c,d satisfy the boundary condition hence they three are correct

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