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Question: Twenty seven drops of water of the same size are equally and similarly charged. They are then united...

Twenty seven drops of water of the same size are equally and similarly charged. They are then united to form a bigger drop. By what factor will the electrical potential changes

A

9 times

B

27 times

C

6 times

D

3 times

Answer

9 times

Explanation

Solution

VBig=n2/3.vsmallV_{Big} = n^{2/3}.v_{small} ⇒ VBig=(27)2/3.vsmall=9vsmallV_{Big} = (27)^{2/3}.v_{small} = 9v_{small}