512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is ……………. V.

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Vishal Baghel | Contributor-Level 10

a month ago

Let the charge of on each drop be q and radius of each drop be r.

$\frac{k q}{r} = 2$

When all drops are joined, radius,

$r' = {(512)}^{\frac{1}{3}} r = 8 r$

Potential of the new drop,

$V = \frac{k . 512 q}{8 r} = 64 \frac{k q}{r} = 128 V$

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512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is ……………. V.

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