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Question: A charge of \(10^{- 9}C\) is placed on each of the 64 identical drops of radius \(2cm\). They are th...

A charge of 109C10^{- 9}C is placed on each of the 64 identical drops of radius 2cm2cm. They are then combined to form a bigger drop. Find its potential

A

7.2×103V7.2 \times 10^{3}V

B

7.2×102V7.2 \times 10^{2}V

C

1.44×102V1.44 \times 10^{2}V

D

1.44×103V1.44 \times 10^{3}V

Answer

7.2×103V7.2 \times 10^{3}V

Explanation

Solution

V=n2/3vV = n^{2/3}vV=(64)2/3×9×109×109(2×102)V = (64)^{2/3} \times 9 \times 10^{9} \times \frac{10^{- 9}}{(2 \times 10^{- 2})}= 7.2 × 103 V