A charge `+q` is fixed to each of three corners of a square .On the empty corner a charge `Q` is placed such that there is no net electrostatic force acting on the diagonally opposite charge then

Options

A. `Q=-2q`
B. `Q=-2sqrt(2)q`
C. `Q=-sqrt(2)q`
D. `Q=-4q`

Answer

2

Explanation

`(1)/(4piepsilon_(0))sqrt(2)(q^(2))/(a^(2))+(1)/(4piepsilon_(0))(Qq)/((sqrt(2q))^(2))=0`