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Two point charges placed at a certain distance r in air exert a force F on each other. The distance r' at which these charges will exert the same force in medium if dielectric constant k is given by

A
r
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B
rk
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C
rk
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D
none of these
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Solution

The correct option is C rk
Two point charge placed at a certain distance =r
force =F
dielectric constant =k
Let, two point charges q1 and q2 are separated r distance from each other.
Then, force experienced between then,
F=q1q24πϵ0r2
Put, F=q1q24πϵ0r2
4q1q24πϵ0r2=q1q2k(4πϵ0r2)
1r2=14r2h
1r2=1kr2
taking square root both sides
1r1kr1
or, r1=rk

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