In figure two positive charges `q_(2)` and `q_(3)` fixed along the y-axis ,exert a net electric force in the `+x` direction on a charge `q_(1)` fixed along the x-axis if a positive charge `Q` is added at `(x,0)` the force on `q_(1)`

Options

A. shell increase along the positive X-axis
B. shall decrease along the positive X-axis
C. shall point along the negative X-axis
D. shall increase but the direction changes because of the intersection of Q with `q_2` and `q_3`

Answer

A

Explanation

Charges `q_2` and `q_3` are given to be positive and the direction of force on `q_1` is along positive X-axis. Hence, charge `q_1` must be negative in polarity. The positive charge Q placed additionally will also attract `q_1` along positive X-axis. Net force on `q_1` will increase in the positive X-direction.