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Q.

Two insulated charged metallic spheres $P$ and $Q$ have their centres separated by a distance of $60 c m .$ The radii of $P$ and $Q$ are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is $3.2 \times 10^{- 7} C$ is

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a

$1.5 x 10^{- 3} N$

b

$5.2 x 10^{- 4} N$

c

$2.5 x 10^{- 3} N$

d

$3.5 x 10^{- 4} N$

answer is B.

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Detailed Solution

Here, $q_{1} = q_{2} = 3.2 \times 10^{- 7} C, r = 60 c m = 0.6 m$

Electrostatic force,

$F = \frac{1}{4 {πε}_{0}} \frac{q_{1} q_{2}}{r^{2}} = \frac{(9 \times 10^{9}) {(3.2 \times 10^{- 7})}^{2}}{{(0.6)}^{2}} = 2.56 \times 10^{- 3} N$

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Two insulated charged metallic spheres P and Q have their centres separated by a distance of 60 cm. The radii of P and Q are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is 3.2 × 10-7 C is