Two bodies of masses m1 and m2 are separated by a distance d the gravitational force between them is

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CONCEPT:

According to the universal law of gravitation, the force between two objects (m1 and m2) is proportional to their masses and inversely proportional to the square of the distance(R) between them.

, Where F = gravitational force, M1 and M2 are mass of object, R = distance between both objects. G = Universal gravitational constant, G = 6.67 x 10-11 N m2 kg-2.

CALCULATION:

Given that distance between M1 and M2 is R. So gravitational force ‘F’ between them:

Now the distance between these two bodies is doubled, the gravitational force F1 is:

; So put the value from F

; So ¼ times of original gravitational force.

So option 2nd is correct.

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