Small drops of same size are charged to V volt.If n such drops form a large drop, then its potential will be.....

Options

A. Vn
B. `V//n`
C. `Vn^(1//3)`
D. `Vn^(2//3)`

Answer

D

Explanation

`V=(1)/(4piepsilon_(0))(q)/(r)`
`V.=(1)/(4piepsilon_(0))(q)/(r.)=(1)/(4piepsilon_(0))(nq)/(n^(1//3)r)(becauseq.nq,r.=n^(1//3)r)`
or `V.=n^(2//3)V`