A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point situated at a/2 distance from the centre, will be :

Question

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point situated at a/2 distance from the centre, will be : (A) (GM/a) (B) (2GM/a) (C) (3GM/a) (D) (4GM/a)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/biology/cf7a029085cc7c3eba94004fe613ad56-.png" /> gravitational potential at x point V x =( GM / a / 2)+( GM / a )=(3 GM / a )

Q. A particle of mass $M$ is situated at the centre of a spherical shell of same mass and radius $a$ . The magnitude of the gravitational potential at a point situated at $a /2$ distance from the centre, will be :

$\frac{GM}{a}$

$\frac{2 GM}{a}$

$\frac{3 GM}{a}$

$\frac{4 GM}{a}$

gravitational potential at $x$ point
$V_{x} = \frac{GM}{a /2} + \frac{GM}{a} = \frac{3 GM}{a}$

Q. A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point situated at a/2 distance from the centre, will be :

aGM​

a2GM​

a3GM​

a4GM​