1000 drops of same size are charged to a potential of 1 V each. If they coalesce to form in single drop, its potential would be

Options

A. `V`
B. `10V`
C. `100V`
D. `1000V`

Answer

C

Explanation

`1000(4/3pir^3)=4/3piR^3implies R=10r`
i.e. radius has become 10 times.
charge will become 1000 times
`V=1/(4piepsilon_0) .(("Charge"))/(("Radius")) or Vprop ("Charge")/("Radius")`
hence, potential will become 100 times.