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Q.

Statement I : When distance between two bodies is doubled and also mass of each body is also doubled, gravitational force between them remains the same.

Statement II: According to Newton's law of gravitation, force is directly proportional to mass of bodies and inversely proportional to square of distance between them.

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a

If statement I is true but statement II is false 
 

b

If both statement I and statement II are true but statement II is not the correct explanation of statement I.
 

c

If both statement I and statement II are true and statement II is the correct explanation of statement I.
 

d

If both statement I and statement II are false 
 

answer is A.

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Detailed Solution

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According to Newton's law of gravitation,

F = Gm1m2r2. When m1, m2 and r2 all are doubled

F = G(2m1)(2m2)(2r)2 = Gm1m2r2, i.e., F remains the same.

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