Correct Answer - Option 4 : will become four times
The correct answer is option 4) i.e. will become four times more
CONCEPT:
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Law of Universal Gravitation: It states that all objects attract each other with a force that is proportional to the masses of two objects and inversely proportional to the square of the distance that separates their centres.
It is given mathematically as follows:
\(F = \frac{Gm_1m_2}{R^2}\)
Where m1 and m2 are the mass of two objects, G is the gravitational constant and R is the distance between their centres.
EXPLANATION:
If the distance between their centres is cut in half, \(R' = \frac{1}{2}R\)
\(F = \frac{Gm_1m_2}{R'^2} = \frac{Gm_1m_2}{(1/2)R^2} =4\frac{Gm_1m_2}{R^2} \)
Therefore, the gravitational force will become four times more.
