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Two charges, each equal to q, are kept a...

Two charges, each equal to q, are kept at x = −a and x = a on the x-axis. A particle of mass m and charge `q_(0)=(q)/(2)` is placed at the origin. If charge q0 is given a small displacement (y a) along the y-axis, the net force acting on the particle is proportional to:

A

y

B

`-y`

C

`1/y`

D

`-1/y`

Text Solution

Verified by Experts

The correct Answer is:
A
Net force`=2F sin theta=2[(kqq_(0))/((a^(2)+y^(2)))].y/((a^(2)+y^(2))^(.^(1)//_(2)))`

`=(2kqq_(0))/((a^(2)+y^(2))^(.^(3)//_(2)))~~(2kqq_(0)y)/a^(3) prop y`
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