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Q.

The gravitational force between two masses is considerable in which of the following situations?

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a

Distance is large but masses are very small

b

Masses are placed in the vacuum

c

At least one of the masses is too big

d

None of the above

answer is C.

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Detailed Solution

The gravitational force between any two masses is given as:

F =G.m1m2r 2
Where m1 and m2 are the masses of the two bodies, r is the distance between them and G is the universal gravitation constant.
G= 6.67 X 10-11 Nm2/kg2

As we can see, the value of G is very small due to which the value of gravitational force will be small if objects are not massive.

Let's look at all the options:
Option A: Since the gravitational force is inversely proportional to distance and directly proportional to the product of masses, large distance and small masses will exert a very small force on each other. Hence the force will not be considerable.
Option B: It is not necessary that the masses should be present in a vacuum in order to exert a gravitational force on each other.
Option C: Since the gravitational force is directly proportional to the product of masses, having at least one massive body like the earth, moon or other planets will exert a considerable force on the other body.

Hence option C is the correct answer.

 

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