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Q.

If solid sphere of charge of radius R has charge density $ρ$ .The electric field at a
distance r from the centre of sphere $(r < R)$ will be

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a

$\frac{ρ r}{ε_{0}}$

b

$\frac{ρ R}{3 ε_{0}}$

c

$\frac{ρ r}{3 ε_{0}}$

d

$\frac{3 ρ r}{ε_{0}}$

answer is C.

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Detailed Solution

$q = \frac{4}{3} π R^{3} e; E = \frac{k q}{R^{2}} (\frac{r}{R}) = \frac{e r}{3 t_{0}}$

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