MCQ
In a hollow spherical shell potential $(V)$ changes with respect to distance $(r)$ from centre
- A
- ✓
- C
- D
✓
Answer
Correct option: B.
b
(b) ${V_{inside}} = \frac{Q}{{4\pi {\varepsilon _0}R}}$ for $r \le R$ ....$(i)$
and ${V_{out}} = \frac{Q}{{4\pi {\varepsilon _0}r}}$ for $r \ge R$ ....$(ii)$
i.e. potential inside the hollow spherical shell is constant and outside varies according to $V \propto \frac{1}{r}$.
(b) ${V_{inside}} = \frac{Q}{{4\pi {\varepsilon _0}R}}$ for $r \le R$ ....$(i)$
and ${V_{out}} = \frac{Q}{{4\pi {\varepsilon _0}r}}$ for $r \ge R$ ....$(ii)$
i.e. potential inside the hollow spherical shell is constant and outside varies according to $V \propto \frac{1}{r}$.
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