Find out the dimension of ‘G’.

The position of one particle is given by s(t) = V_0alpha[1+e^-(alphat)] . Find out the dimension of alpha .

The refractive index ( mu ) of glass is related to the wavelength (lambda) of incident light as mu = A +(B)/(lambda^(2)) , where A and B are constants. Find out the dimensions of A and B.

The potential energy U of a particle varies with its distance x from a predefined origin as U = (Asqrt(x))/(x+B) , where A and B are constants . Find out the dimension of the quantity AB.

Find out the dimension of mu_0 in_ 0 .

y = A sin(omega t- kx) Cm this equation find out the dimension of omega ?

If the force acting on a body at time t is F = at^(-1)+bt^(2) then find out the dimensions of a and b.

W = 1/2 kx^2 in this equation find out the dimension of k, where w = stored potential energy and x = eloxgation of the spring.

Find out the dimension of K in the equation, W= (1)/(2) Kx^(2) . Here x and W are the elongation and the potential energy respectively of a spring.

Young's modulus is Y = stress /strain. Here stress is the force of reaction per unit area and strain is the change of length per unit initial length. Find out dimension of Y. If velocity (V) acceleration (A) and force (F) are taken as the fundamental quantities in place of mass length and time then what will be the dimension of Y ?