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 = posotive constant)`

The (x, y) co-ordinates 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)

If the image of the point (1,2,3) in the plane x+2y=0 is (h,k,l) then l=

The length of the chord intercepted on the line 2x-y+2=0 by the parabola x^(2)=8y is l then l=

On the X-Y plane two point charges "+q and -q are placed at positions (0, L) and (0,-L) respectively. Find an expression for the intensity of the electric field at a point (0, y) where y >> L . Express the electric field in terms of the dipole moment so formed.

A uniform rectangular plate has side length l and 2 l . The plate is in x - y plane with its centre at origin and sides parallel to x and y axes. The moment of inertia of the plate about an axis passing through a vertex (say A) perpendicular to the plane of the figure is I_(0) . Now the axis is shifted parallel to itself so that moment of inertia about it still remains I_(0) . Write the locus of point of intersection of the axis with xy plane

The standing waves are set up by the superimposition of two waves: y_(1)=0.05 sin (15pit-x) and y_(2)=0.05 sin (15pit+x) , where x and y are in metre and t in seconds. Find the displacement of particle at x=0.5m.