Three charges `Q_(0),-q and -q` are placed at the vertices of an isosceles right angle triangle as shown 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(2)q`
D. q

Answer

B

Explanation

Total electrostatic potential energy is zero
`k=[(-Q_(0)q)/(L)-(qQ_(0))/(L)+(q^(2))/(sqrt(2)L)]=0, Q_(0)=(q)/(2sqrt(2))=(2q)/(sqrt(32))`