4 × 10 10 electrons are removed from a neutral metal sphere of diameter 20 c m placed in air. The magnitude of the electric field in ( N C − 1 ) at a distance of 20 c m from its centre is

Question

4 × 10 10 electrons are removed from a neutral metal sphere of diameter 20 c m placed in air. The magnitude of the electric field in ( N C − 1 ) at a distance of 20 c m from its centre is, 640, 5760, Zero, 1440

MARKS App · Accepted Answer

Given, Number of electrons n = 4 × 10 10 m - 3 Diameter of sphere D = 20 c m Radius of sphere r = 20 2 = 10 c m = 0.01 m According to equation, E o u t s i d e = q 4 π ε 0 r 2 = n e 4 π ε 0 r 2 Here, r = 20 × 10 - 2 m = 4 × 10 10 × 1.6 × 10 - 19 × 9 × 10 9 20 × 10 - 2 2 = 4 × 1.6 × 9 20 × 20 × 10 - 4 = 4 × 1.6 × 9 × 10 4 20 × 20 = 1.6 × 9 × 10 2 = 1.44 × 10 3 = 1440 N C - 1

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