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Question

Two point charges in air, at a distance of 20 cm from each other, interact with a certain force. At what distance from each other should these charges be placed in oil of relative permittivity 5 to obtain the same magnitude of force of interaction?

A
8.94×102 m
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B
7.94×102 m
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C
6.94×102 m
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D
5.94×102 m
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Solution

The correct option is A 8.94×102 m
We know, electrostatic force,
F=14πϵrϵoq1q2r2

For air, ϵr=1
For given oil, ϵr=5

As magnitude of force of interaction is the same in both the medium,
1r2=1ϵrr2o
[On equating both the forces]

1202=15×r2o
ro=8.94 cm=8.94 ×102 m


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