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Q.

If eight charged same water drops each with a radius of 1mm and a charge of 1010C  merge into a single drop. Then the potential of the big drop is

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a

3600 V

b

4000 V

c

4200 V

d

3200 V

answer is C.

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Detailed Solution

r be the radius of small drop

R be the radius of big drop

volume is conserved 

so 

Vbig=8 Vsmall

43π R3 = 8× 43πr3

R= 2r

potential of big drop is Vbig= 14πε0 8qr put q and r values in the above equation we get V = 3600v

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