A mass of 50kg is placed at the center of a uniform spherical shell...

A mass of

50kg

is placed at the center of a uniform spherical shell of mass

100kg

and radius

50m

. If the gravitational potential at a point,

25m

from the center is

Vkg{m}^{- 1}

. The value of

V

is:

A mass of 50kg is placed at the center of a uniform spherical shell of mass 100kg and radius 50m . If the gravitational

Options

A $+ 2G$
B $- 20G$
C $- 4G$
D $- 60G$

Correct answer

C. $- 4G$

Step-by-step solution

A mass of 50kg is placed at the center of a uniform spherical shell of mass 100kg and radius 50m . If the gravitational

Use the formula& of the gravitational potential in terms of universal gravitational constant,& $V = \dfrac{- GM}{R}⇒ {V}_{p} = - \dfrac{G ( 100 )}{50} - \dfrac{G ( 50 )}{25}= - 4G$ .

Practice Gravitation on Quantrex Academy →

More from Gravitation

A particle of mass m , and angular momentum ℓ is moving in a circular orbit of radius r_0… JEE Advanced 2026 A body of mass m is taken from the surface of earth to a height equal to twice the radius… JEE Main 2026 When one moves from a point 16 km below the earth's surface to a point 16 km above the… JEE Main 2026 The height in terms of radius of the earth (R) , at which the acceleration due to gravity… JEE Main 2026 If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and… JEE Main 2026 A planet (P_1) is moving around the star of mass 2M in the orbit of radius R . Another… JEE Main 2026 Three masses 200 ~kg, 300 ~kg and 400 kg are placed at the vertices of an equilateral… JEE Main 2026 Given below are two statements: Statement I : A satellite is moving around earth in the… JEE Main 2026 Full Gravitation list All JEE Main PYQs