Three charges `Q_(0),-qand-q` are placed at the vertices of an isosceles right angle triangle as in the figure . The net electrostatic potential energy is zero if `Q_(0)` is equal to

Options

A. `(q)/(4)`
B. `(2q)/(sqrt(32))`
C. `sqrt(2q)`
D. `+q`

Answer

B

Explanation

Here total electrostatic potential energy is zero

ie , `(-Q_(0)q)/(l)-(qQ_(0))/(l)+(q^(2))/(sqrt(2l))=0`
On solving , `Q_(0)=(q)/(2sqrt(2))=(2q)/(sqrt(32))`