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Question

Two point charges placed at a distance r in air exert a force F. The distance at which they exert same force when placed in a certain medium (dielectric constant K) is

A
rK
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B
rK
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C
rK
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D
rK
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Solution

The correct option is C rK
Electrostatic force in vaccum isF=14πϵ0q1q2r2....(1)Electrostatic force in dielectric medium isF=14πϵ0Kq1q2r2.....(2)
F=F
14πϵ0Kq1q2r2=14πϵ0q1q2r2
r=rk

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