The work done on a particle of mass by a force, K [ x (x^2 + y^2)^ 3/2 i + y (x^2 +…

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

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] (1)

\frac{2K\pi}{a}

(2)

\frac{K\pi}{a}

(3)

\frac{K\pi}{2a}

(4) 0