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Question

The force of attraction between two bodies which is directly proportional to the product of masses of the bodies and inversely proportional to the square of the distance of separation is __________.

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is
gravitational force

Gravitational Force Definition and Explanation

The question describes a fundamental concept in physics: the force of attraction between objects based on their mass and separation distance. This description perfectly matches Newton's Law of Universal Gravitation.

Newton's Law of Universal Gravitation

This law states that any two bodies in the universe attract each other with a force. This gravitational force has two main characteristics as described in the question:

  • It is directly proportional to the product of the masses of the two bodies. This means if you increase the mass of either object, the force gets stronger.
  • It is inversely proportional to the square of the distance of separation between their centers. This means if you double the distance, the force becomes four times weaker (\(1/2^2 = 1/4\)).

Mathematical Representation

We can express this law mathematically using the following formula:

\( F = G \frac{m_1 m_2}{r^2} \)

Where:

  • \(F\) represents the magnitude of the gravitational force between the two bodies.
  • \(G\) is the universal gravitational constant (approximately \(6.674 \times 10^{-11} \, \text{N}\cdot\text{m}^2/\text{kg}^2\)).
  • \(m_1\) and \(m_2\) are the masses of the two bodies.
  • \(r\) is the distance between the centers of the two bodies.

Analysis of Options

  • Gravitational force: This option accurately reflects the definition provided in the question. The force depends on mass and distance squared.
  • Electromagnetic force: This force acts between electrically charged particles. It can be attractive or repulsive and depends on the magnitude of the charges and the distance. It's not primarily dependent on mass in the way described.
  • Electrostatic force: This is a specific type of electromagnetic force acting between stationary electric charges. Like the electromagnetic force, it depends on charge, not mass.
  • Electromotive force (EMF): This is not a force in the classical sense but rather the potential difference (voltage) produced by an energy source, like a battery. It drives electric current.

Therefore, the force described in the question is the gravitational force.

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