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Two point charges A and B, having charge...

Two point charges A and B, having charges +Q and -Q respectively, are placed at certain distance apart and force acting between them is F, if `25%` charge of A is transferred to B, then force between the charges becomes:

A

F

B

`(9F)/(16)`

C

`(16F)/(9)`

D

`(4F)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
`F=(kQ^(2))/(r^(2))`
If `25%` of charge of A transferred to B then
`q_(A)=Q-(Q)/(4)=(3Q)/(4)andq_(B)=-Q+(Q)/(4)=(-3Q)/(4)`


`F_(1)=(kq_(A)q_(B))/(r^(2))`
`F_(1)=(k((3Q)/(4))^(2))/(r^(2))`
`F_(1)=(9)/(16)(kQ)/(r^(2))`
`F_(1)=(9F)/(16)`
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