Correct Answer: D) Dependence on the intervening medium
1. Electrostatic Force:
o The electrostatic force between two charges depends on the nature of the intervening medium.
o Its magnitude is given by Coulomb's law: Fe=14πε⋅q1q2r2F_e = \frac{1}{4 \pi \varepsilon} \cdot \frac{q_1 q_2}{r^2} Here, ε\varepsilon is the permittivity of the medium. The force decreases if the medium has a higher permittivity than a vacuum (e.g., water or glass).
2. Gravitational Force:
o The gravitational force between two masses does not depend on the intervening medium.
o It is given by Newton's law of gravitation: Fg=G⋅m1m2r2F_g = G \cdot \frac{m_1 m_2}{r^2} Here, GG is the gravitational constant and is the same in all mediums, meaning gravitational force is unaffected by the surrounding material.
3. Similarities:
o Both forces are conservative forces (work done is path-independent and can be stored as potential energy).
o Both are central forces, acting along the line joining the centers of the interacting objects.
o Both obey the principle of superposition, where the net force is the vector sum of all individual forces acting on a body.
4. Difference:
o The primary difference lies in their dependence on the intervening medium:
Electrostatic force depends on the permittivity of the medium.
Gravitational force does not depend on the medium and remains unchanged.
Thus, D) Dependence on the intervening medium is the correct answer.