Electrostatics Question 161

Question: The ratio of the forces between two small spheres with constant charge $ (a) $ in air $ (b) $ in a medium of dielectric constant K is [MNR 1998]

Options:

A) 1 : K

B) K : 1

C) $ 1:K^{2} $

D) $ K^{2}:1 $

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Answer:

Correct Answer: B

Solution:

$ F _{a}=\frac{q _{1}q _{2}}{4\pi {\varepsilon _{0}}r^{2}},F _{b}=\frac{q _{1}q _{2}}{K4\pi {\varepsilon _{0}}r^{2}} $

therefore $ F _{a}:F _{b}=K:1 $



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