If the force of attraction between the earth and an apple separated by distance 'x' is 'F', then the force acting on the same apple kept at a distance '2x' will be ________.

Correct option is B

Correct Answer:B. F/4

Explanation:
The force of attraction between two objects is governed by Newton's Law of Gravitation, which states:

​

where:

• F = Gravitational force
• G = Gravitational constant
• m₁m₂​ = Masses of the two objects
• r = Distance between the objects

If the distance between the objects is doubled (from x to 2x), the force becomes:

This simplifies to:

​$$F′=\frac{F}{4}$$​​

Key Insight:

• Gravitational force is inversely proportional to the square of the distance. Doubling the distance reduces the force to one-fourth of its original value.