Two balls of same mass and carrying equal charge are hung from a fixed support of length l . At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, x between the balls is proportional to :

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Correct answer: D. l^ 1 / 3

In equilibrium, F _ e = T g=T = F_e m g = q^2 4 ₀ x^2 m g also = x / 2 Hence, x 2 = q^2 4 ₀ x^2 m g x^3= 2 q^2 4 ₀ m g x= ( q^2 2 ₀ m g )^ 1 / 3 Therefore x ^ 1 / 3

Two balls of same mass and carrying equal charge are hung from a fixed support of length l . At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, x between the balls is proportional to :

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