Electrostatics - Hard - Question

1.

Two fixed charges

A

and

B

of

5\,\mu\text{C}

each are separated by a distance of

6\,\text{m}

.

C

is the mid-point of the line joining

A

and

B

. A charge

Q

of

-5\,\mu\text{C}

is shot perpendicular to the line joining

A

and

B

through

C

with a kinetic energy of

0.06\,\text{J}

. The charge

Q

comes to rest at a point

D

. The distance

CD

is