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Q.

If 8 identical droplets each carrying a charge 'q' and of radius r are combined to form a big drop. The ratio of potential of big drop to that of any one small droplet is

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a

2:1

b

16:1

c

4:1

d

1:8

answer is C.

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Detailed Solution

43πR3=843πr3 R=2r∴V=K(8q)2r    Vdrop =4Kqr ∴Vdrop =4Vdroplet
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If 8 identical droplets each carrying a charge 'q' and of radius r are combined to form a big drop. The ratio of potential of big drop to that of any one small droplet is