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The ratio of the forces between two char...

The ratio of the forces between two charges placed at a certain distance apart in air at half of the distance apart in medium of dielectric .k. is

A

`1:K`

B

`K:1`

C

`1:K^(2)`

D

`K^(2):1`

Text Solution

Verified by Experts

The correct Answer is:
B

Let two small spheres having a constant charge q place d in air at a distance r, then the force acting between them is given by
`F_("air") =(1)/(4pi epsilon_(0)) *(q^(2))/(r^(2))`
When both changes placed in a medium of dielectric constant K, then
`F_("medium") = (1)/(4pi epsilon_(0)K) * (q^(2))/(r^(2))`
`:. (F_("air"))/(F_("medium"))=(K)/(I)`
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