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Question

The gravitational force between two objects is F. If masses of both the objects are halved without altering the distance between them, then the gravitational force would become:

A
4F
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B
F2
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C
F
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D
F4
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Solution

The correct option is D F4
Given, the gravitational force between the objects =F
Here, F=GMmr2
where M=mass of object 1
m=mass of object 2
r=distance between the objects
Masses of both the objects are halved, hence the new gravitational force F’ becomes:
F=G×[(M2)×(m2)](r2)
F=(GMm)(4r2)
F=14×GMmr2
F=F4

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