Question

Two identical positive charges Q each are fixed at a distance of ‘2a’ apart from each other. Another point charge q₀ with mass ‘m’ is placed at midpoint between two fixed charges. For a small displacement along the line joining the fixed charges, the charge q₀ executes SHM. The time period of oscillation of charge q₀ will be :

(A) \(\sqrt{\frac{4\pi^3\epsilon_0ma^3}{q_0Q}}\)

(B) \(\sqrt{\frac{q_0Q}{4\pi^3\epsilon_0ma^3}}\)

(C) \(\sqrt{\frac{2\pi^2\epsilon_0ma^3}{q_0Q}}\)

(D) \(\sqrt{\frac{8\pi^3\epsilon_0ma^3}{q_0Q}}\)

Answer 1

Correct option is (A) \(\sqrt{\frac{4\pi^3\epsilon_0ma^3}{q_0Q}}\) 

Electrostatics