Two identical conducting spheres P and S with charge Q on each, repel each other with a force 16 N. A third identical uncharged conducting sphere R is successively brought in contact with the two spheres. The new force of repulsion between P and S is:

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Solution

Q.
Two identical conducting spheres P and S with charge Q on each, repel each other with a force 16 N. A third identical uncharged conducting sphere R is successively brought in contact with the two spheres. The new force of repulsion between P and S is: [2024]

1 4 N

2 1 N

3 6 N

4 12 N

Ans.
(3)

$F_{1} = \frac{K Q^{2}}{r^{2}} = 16$ ...(i)

$F_{2} = \frac{K \frac{Q}{2} \cdot \frac{3 Q}{4}}{r^{2}} = \frac{3}{8} \cdot \frac{K Q^{2}}{r^{2}} = \frac{3}{8} \times 16 = 6 N$

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