Question 9
Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will be

(a) $\frac{1}{4} t i m e s$
(b) $4 t i m e s$
(c) $\frac{1}{2} t i m e s$
(d) Unchanged

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Solution

(b) $4 t i m e s$

According to the formula gravitational force is equal to

$F = \frac{G M m}{d^{2}}$

If you double the mass, the force will increased by 4 times.

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Similar questions

Two particles are placed at some distance from each other. If, keeping the distance between them unchanged, the mass of each of the two particles is doubled, the value of gravitational force between them will become :
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Q. Two particles are placed at some distance and the magnitude of gravitational force between them is F. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the new value of gravitational force, in terms of F, between them will be:

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Question 9 Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will be (a) 14 times (b) 4 times (c) 12 times (d) Unchanged

(b) 4 times According to the formula gravitational force is equal to F=GMmd2 If you double the mass, the force will increased by 4 times.

Question 9
Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will be

(a) $\frac{1}{4} t i m e s$
(b) $4 t i m e s$
(c) $\frac{1}{2} t i m e s$
(d) Unchanged

(b) $4 t i m e s$

According to the formula gravitational force is equal to

$F = \frac{G M m}{d^{2}}$

If you double the mass, the force will increased by 4 times.