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Q.

Eight oil drops of same size are charged to a potential of 50 V each. These oil drops are merged into one single large drop.  the The potential of the large drop in volt is

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a

50 V

b

100 V

c

200 V

d

400 V

answer is C.

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Detailed Solution

8× Volume of small drop= Volume of big drop

843πr3=43πR3, R=2r,  Q=8q

Further,         V=14πε0qr=50 V

and               V'=14πε0·QR=14πε0·8q2r      =4×50=200V

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