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Two fixed charges, 4Q (positive) and Q (negative) are located at A and B, the distance AB being 3 m.

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The point P where the resultant field due to both is zero on line AB is outside AB.

The point P where the resultant field due to the both is zero on line AB is inside AB.

If a positive charge is placed at P and displaced slightly along AB it will execute oscillations.

If negative charge is placed at P and displaced slightly along AB it will execute oscillations.

answer is A, D.

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Detailed Solution

Electric field due to positive charge is away from it and electric field due to negative charge is towards it so there cannot be a point on AB where electric field can be zero

Negative charge will experience a repulsion force due to −ve charge and attraction force due to +ve charge, so if pushed away from charges then a net attractive force and if pushed towards AB then a net repulsive force will be there so there will be oscillations.

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