Question

A spherical drop of capacitance$1\mu F$ is broken into eight drops of equal radius. Then, the capacitance of each small drop is ......

• A. $\frac{1}{8}\mu F$
• B. $8\mu F$
• C. $\frac{1}{2}\mu F$
• D. $\frac{1}{4}\mu F$

Answer 1

The correct option is C $\frac{1}{2}\mu F$

Using
$C=n^{1/3}{C}^{{}^{\prime }}\Rightarrow C^{{}^{\prime }}=\frac{C}{n^{1/3}}=\frac{1\mu F}{(8{)}^{1/3}}=\frac{1}{2}\mu F$