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A certain charge Q is divided into two p...

A certain charge `Q` is divided into two parts (q) an `(Q-q)`. Later on the charges are placed at a certain distance. If the force of interaction between the charges is maximum then

A

2

B

`1//2`

C

4

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
A

let distance between two charges is x.
the force between them.
`F=(1)/(4piepsi_(0))(q(Q-q))/(x^(2))`
xis constant, so for maximum force q(Q-q) should be maximum
`(d)/(dq){q(Q-q)}=0`
`Q-2q=0`
`implies(Q)/(1)=2`
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