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Two point charges placed at a certain di...

Two point charges placed at a certain distance r in air exert a force F on each other. Then the distance r at which these charges will exert the same force in a medium of dielectric constnat K is given by

A

r

B

`r//k`

C

`r//sqrtk`

D

`rsqrtk`

Text Solution

Verified by Experts

The correct Answer is:
C
`F=1/(4piepsilon_0) .q^2/(r^2)`
`F.=1/(4piepsilon_0) .q^2/(k(r.)^2)`
`F =F. implies 1/r^2 =1/(k(r.)^2) implies (r.)/r = sqrt(1//k)implies r. =r/(sqrtk)`
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