A particle of mass is moved radially outward from a distance to from Earth’s centre

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

Problem

A particle of mass

m

is moved radially outward from a distance

2R

4R

from Earth’s centre, where

R

is Earth’s radius. If

M

is Earth’s mass and

G

is the universal gravitational constant, the work done by Earth’s gravitational force during this transfer is (a)

+\dfrac{GMm}{4R}

(b)

-\dfrac{GMm}{8R}

(c)

-\dfrac{GMm}{4R}

(d)

+\dfrac{GMm}{2R}