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A particle of mass 10 g is kept on the s...

A particle of mass 10 g is kept on the surface of uniform sphere of mass 100 kg and radius 10 cm. Find the work done against the gravitational force between them to take the particle far away from the sphere.

A

`13.44xx10^(-10)J`

B

`3.33xx10^(-10)J`

C

`6.67xx10^(-9)J`

D

`6.67xx10^(-10)J`

Text Solution

Verified by Experts

The correct Answer is:
D
Work done = Change in GPE `=U_(oo)-U_(R )`
`W=0-(-(GMm)/(R ))=(GMm)/(R )`
`=(6.67xx10^(-11)xx100xx10^(-2))/(10^(-1))=6.67xx10^(-10)J`
Thus correct choice is (d).
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