Question

$1000$ small water drops each of radius $r$ and charge $q$ coalesce together to form one spherical drop. The potential of the bigger drop is larger than that of the smaller one by a factor

• A. $1000$
• B. $100$
• C. $10$
• D. $1$

Answer 1

Answer: (B)

Ratio of potential of the bigger drop to smaller drop is given by,
$\frac{V}{V_{0}}=n^{\frac{2}{3}}=1000^{\frac{2}{3}}=100$