A spherical droplet having a potential of 2.5 volt is obtained as a result of merging of 125 identical droplets. Find the potential of the constituent droplet:

0.4 V

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0.05 V

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0.1 V

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62.5 V

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Solution

The correct option is B 0.05 V
We know,
$R^{3} = 125 r^{3}$
$R = 5 r$
$Q = 125^{q}$
$Q = 125_{q}$
$\frac{K Q}{R} = 2.1$
$\frac{R \times 125 q}{5 r} = 2 x$
$\frac{K_{a}}{r} = \frac{2.5}{125} = 0.05 V$

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