A spherical liquid drop of capacitance `1muF` breaks into 8 drops of the same radius. What is the capacitance of each of these smaller drops?

Explanation

Let R= radius of the initial drop, r = radius of each of 8 smaller drops.
`(4)/(3)pi R^3= 8xx(4)/(3)pir^3" or "r=(R )/(2)`
Capacitance of the bigger drop `= 4 pi in_0 R= 1muF`
Capacitance of each small drop
`= 4 pi in_0r= 4 pi in_0(R )/(2)=(1)/(2)*4pi in_0 R= (1)/(2)xx1muF = 0.5muF`.