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n small drops of same size are charged t...

`n` small drops of same size are charged to `V` volts each .If they coalesce to from a singh larg drop, then its potential will be -

A

` V//n`

B

` Vn`

C

` Vn^(1/3)`

D

` Vn^(2//3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Potential of small drop `V_(s) = (Kq)/(r)` .....(1)
Potential of small drop ` V_B =K (nq)/R `….(2)
From volume conservation
` 4/3 pi R^3 =n. 4/3 pi r^3`
`R= n^(1//3) r`…(3)
from (1) , (2) and (3)
` V_B = (Knq)/(n^(1//3) r) =n^(2//3) (Kq)/r rArr V_B = N^(2//3) V_s`.
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