Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

If ‘n’ identical drops each charged to a potential V coalesce to a single bigger drop, the potential of the bigger drop is

Options:

$n^{1/3} V$

$n^{2/3} V$

$n^{4/3} V$

$n^{5/3} V$

Correct Answer:

$n^{2/3} V$

Explanation:

$\text{ If charge on each drop is q then total charge on bigger drop is } nq.$

$\text{Since Volume remain constant then } n\times \frac{4\pi}{3} r^3 = \frac{4\pi}{3} R^3 $

$ \Rightarrow R = n^{1/3} r$

$ \text{Potential of bigger drop is }V' = \frac{k.nq}{R} = n^{2/3} \frac{kq}{r} = n^{2/3}V$