On the -axis and at a distance from the origin

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

On the

x

-axis and at a distance

x

from the origin, the gravitational field due to a mass distribution is given by

\frac{Ax}{(x^2 + a^2)^{3/2}}

in the

x

-direction. The magnitude of gravitational potential on the

x

-axis at a distance

x

, taking its value to be zero at infinity, is : (1)

\frac{A}{(x^2 + a^2)^{1/2}}

(2)

\frac{A}{(x^2 + a^2)^{3/2}}

(3)

A(x^2 + a^2)^{1/2}

(4)

A(x^2 + a^2)^{3/2}