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27 identical drops are charged at 18V each. They combine to form a bigger drop. The potential of bigger drop will be___

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152 V

162 V

128 V

135 V

answer is D.

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Detailed Solution

When n drops combined potential of bigger drop $V^{1} = n^{2 / 3} V$

$∴ V^{1} = {(3^{3})}^{2 / 3} .18 = 9 \times 18 = 162 V$

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