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Question

Question: The ratio of the forces between two small spheres with constant charge \((a)\) in air \((b)\) in a m...

The ratio of the forces between two small spheres with constant charge (a)(a) in air (b)(b) in a medium of dielectric constant K is

A

1 : K

B

K : 1

C

1:K21:K^{2}

D

K2:1K^{2}:1

Answer

K : 1

Explanation

Solution

Fa=q1q24πε0r2,Fb=q1q2K4πε0r2F_{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}}Fa:Fb=K:1F_{a}:F_{b} = K:1