Physics

Problem

The work done on a particle of mass

m

by a force,

K \left[ \frac{x}{(x^2 + y^2)^{3/2}} \hat{i} + \frac{y}{(x^2 + y^2)^{3/2}} \hat{j} \right]

(

K

being a constant of appropriate dimensions), when the particle is taken from the point

(a, 0)

to the point

(0, a)

along a circular path of radius

a

about the origin in the

x-y

plane is [Adv. 2013] a.

\frac{2K\pi}{a}

\frac{K\pi}{a}

\frac{K\pi}{2a}

d. 0