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Q.

There is a solid sphere of radius ‘R’ having uniformly distributed charge. What is the relation between electric field ‘E’ (inside the sphere) and radius of sphere ‘R’ is

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a

$E \propto R^{- 2}$

b

$E \propto R^{- 1}$

c

$E \propto \frac{1}{R^{3}}$

d

$E \propto R^{2}$

answer is C.

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Detailed Solution

$E = \frac{1}{4 {πε}_{0}} . \frac{Qr}{R^{3}} \Rightarrow E \propto \frac{1}{R^{3}}$

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