Eight mercury droplets having a radius of 1 mm and a charge of 0.066 pC each merge to form one droplet. Its potential is
Answer & explanation
Correct answer: option 2
Since Volume remains constant so
Initial volume = Final Volume
$ 8\times \frac{4\pi}{3} r^3 = \frac{4\pi}{3}R^3$
$ \Rightarrow R = 2r = 2mm ( r = 1mm)$
Since charge also remain constant . it is same on both the drops.
$ \Rightarrow V = \frac{Q}{4\pi \epsilon_0 R} = \frac{9\times 10^9 \times 8\times 0.066\times 10^{-12}}{2\times 10^{-3}} = 2.4 V$