Question

Select One Option Correct from the following :The work done on a particle of mass m by a force, $\vec{F} = K \bigg [\frac{x}{(x^2+y^2)^{3/2}} \hat{i}+\frac{y}{(X^2+y^2)^{3/2}} \hat{j} \bigg ]$ (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
(A) $\frac{2K \pi}{a}$
(B) $\frac{K \pi}{a}$
(C) $\frac{K \pi}{2a}$
(D) 0

Answer 1

Select One Option Correct from the following :The work done on a particle of mass m by a force, $\vec{F} = K \bigg [\frac{x}{(x^2+y^2)^{3/2}} \hat{i}+\frac{y}{(X^2+y^2)^{3/2}} \hat{j} \bigg ]$ (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

(A) $\frac{2K \pi}{a}$

(B) $\frac{K \pi}{a}$

(C) $\frac{K \pi}{2a}$

✔️ (D) 0