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Two point charge (Q each) are placed at ...

Two point charge (Q each) are placed at (0,y) and (0,-y). A point charge q of the same polarity can move along X-axis. Then :

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The correct Answer is:
A, B, D
At a popint with corrdinates (x,0) the force is `F=(2Qq)/(4piepsilon_(0))(x)/((x^(2)+y^(2))^(3//2))`. For F to maximum, equating `(dF)/(dx)` to zero give `xpm(y)/(sqrt(2))`. The charge is obviously in equilibrium at the origin. However, the equilibrium is not stabel since the force is repulsive and hance will not be able to restore the charge at the origin The charge therefore connot perform oscillatory motion.
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