Physics - Wave on String Question with Solution | TestHub

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 at the point $(x,y)$ at some instant, the possible expression for $u$ is ($a$ is a positive constant):