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Eight mercury droplets having a radius o...

Eight mercury droplets having a radius of 1nm and charge of `0.006` pC cell merege to form one droplet. Its potential is

A

`2.4V`

B

`1.2V`

C

`3.6 V`

D

`4.8 V`

Text Solution

Verified by Experts

The correct Answer is:
A
`8xx` volume of one droplet of `H_(g)=(4)/(3)pi R^(3)`
`8xx cancel((4)/(3))cancelpi r^(3)=cancel((4)/(3))cancelpi R^(3)`
`2^(3)xxr^(3)=R^(3)`
`(2r)^(cancel3)=(R)^(cancel(3)`
`R=2r [ :. R=1 mm]`
`R=2xx(1)/(cancel((q)/(R)))xx10^(-3)m or 2 mm [ :. q="ne"]`
`:.V=(1)/(4pi epsi_(0))xx(q)/(R)`
`V=(9xx10^(9)xx0.066xx10^(-12)xx8)/(2xx10^(-3))`
`V=2.4V`
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