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If the distance between two objects is increased by two times, the gra

June 1, 2025 by rawan239

If the distance between two objects is increased by two times, the gravitational force between them will

remain same

increase by two times

decrease by two times

decrease by four times

This question was previously asked in

UPSC CDS-2 – 2020

Download PDF Attempt Online

The gravitational force between the two objects will decrease by four times.

According to Newton’s Law of Universal Gravitation, the force (F) between two objects with masses m₁ and m₂ separated by a distance (r) is given by F = G(m₁m₂)/r², where G is the gravitational constant. The force is inversely proportional to the square of the distance between the objects. If the distance is increased by two times (r’ = 2r), the new force (F’) will be F’ = G(m₁m₂)/(r’)² = G(m₁m₂)/(2r)² = G(m₁m₂)/(4r²) = (1/4) * G(m₁m₂)/r² = (1/4) * F. Thus, the force decreases to one-fourth of its original value.

The inverse square law is a common relationship in physics, appearing in gravitation, electrostatics, and light intensity. It implies that the effect of a source diminishes rapidly with increasing distance.

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