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Question: Eight small drops, each of radius \(r\) and having same charge \(q\)are combined to form a big drop....

Eight small drops, each of radius rr and having same charge qqare combined to form a big drop. The ratio between the potentials of the bigger drop and the smaller drop is

A

8 : 1

B

4 : 1

C

2 : 1

D

1 : 8

Answer

4 : 1

Explanation

Solution

By using Vbig=n2/3vsmallV_{big} = n^{2/3}v_{small} ⇒ VBigvsmall=(8)2/3=41\frac{V_{Big}}{v_{small}} = (8)^{2/3} = \frac{4}{1}