Gravitation · Class 9 · CBSE Science

What happens to the gravitational force between two objects if the distance between them is halved?

Practice question from Gravitation (Class 9 · CBSE Science), with the correct answer and a step-by-step solution.

medium · MCQ · Q-A1FF9C

What happens to the gravitational force between two objects if the distance between them is halved?

  1. A.It is halved
  2. B.It is doubled
  3. C.It increases by a factor of 4Correct answer
  4. D.It decreases by a factor of 4

Solution

According to the universal law of gravitation, F=Gm1m2d2F = G \frac{m_1 m_2}{d^2}. If the distance dd is halved (d/2d/2), the force becomes inversely proportional to (d/2)2=d2/4(d/2)^2 = d^2/4, which means the force increases by a factor of 44.

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