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Q.

64 identical mercury drops combine to form one bigger drop. The capacitance of the bigger drop, as compared to that of a smaller drop will be 

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a

8 times

b

64 times 

c

4 times 

d

16 times

answer is C.

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Detailed Solution

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If  r  is radius of the bigger drop and r is radius of each of the smaller drops, then
43πR3=64(43πr3)
Or,  R = 4r.

Capacitance of spherical conductor  radius.

Hence, the capacitance becomes 4 times.

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