Question

$1000$ drops of water of radius $1\,cm$ each carrying a charge of $10\, esu$ combine to form a single drop. The capacitance of combined drop increases

• A. 1 time
• B. 10 times
• C. 100 times
• D. 1000 times

Answer 1

Answer: (C)

100 times

Answer 2

Here $R^3$ = 1000 $r^3 \, i.e.$ R = 10 $r$
Capacitance of large drop = $\frac{1000q}{R} = \frac{1000q}{10r} = 100$ C