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27 identical drops of mercury are charged simultaneously to the same potential of 10 volt each assuming drops to be spherical, if all the charged drops are made to combine to form one large drop, then the potential of larger drop would be

a
45 V
b
135 V
c
270 V
d
90 V

detailed solution

Correct option is D

Radius of big drop, R=3 r                                         [∵ 43  π R3=27×43 π r3] V=27  q4 π ∈0 R=27 q4 π ∈0(3  r) =9(q4 π ∈0r)=9  ×  10=90 V

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