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Three charged paricles are placed on a s...

Three charged paricles are placed on a straight line as shown in fig. `q_(1)` and `q_(2)` are fixed but `q_(3)` can be moved. Under the action of the forces from `q_(1),q_(2)` and `q_(3)` is in equilbrium. What is the relation between `q_(1)` and `q_(2)`.

A

`q_(1)=4q_(2)`

B

`q_(1)=-q_(2)`

C

`q_(1)=-4q_(2)`

D

`q_(1)=q_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

Net force on `q_(3)` is `F_(1)+F_(2)=0`

or ,`(kq_(1)q_(3))/((2x)^(2))+(kq_(2)q_(3))/(x^(2))`.
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