Electrostatics 1 Question 14
14. The electric field within the nucleus is generally observed to be linearly dependent on $r$. This implies
(a) $a=0$
(b) $a=\frac{R}{2}$
(c) $a=R$
(d) $a=\frac{2 R}{3}$
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Answer:
Correct Answer: 14. (c)
Solution:
- In case of solid sphere of charge of uniform volume density
$$ E=\frac{1}{4 \pi \varepsilon_{0}} \cdot \frac{q}{R^{3}} \cdot r \quad \text { or } \quad E \propto r $$
Thus, for $E$ to be linearly dependent on $r$, volume charge density should be constant.
or
$$ a=R \text {. } $$
$\therefore$ Correct option is (c).
