In the figure, `A`, `B`, `C` and `D` are four concentric spheres of radius `a`, `2a`, `3a` and `4a` and contain, charges `+3q`, `+6q`, `-9q` and `+12q` respectively. In the beginning switches `S_(1)` and `S_(2)` are open. After earthing the sphere `C`, `Deltaq_(1)` amount of charge flows from the sphere `C` to the earth. If the sphere `B` is also earthed, then `Deltaq_(2)` amount of charge flows from the sphere `B` to the earth, find the value of `(|Deltaq_(1)|)/(|deltaq_(2)|)`

Explanation

`(1)/(4piepsilon_(0))[(3q)/(3a)+(6q)/(3a)+(q_(1))/(3a)+(12q)/(4a)]=0`
`rArr q_(1)= -18q`
`|Deltaq_(1)|=9q`
`(1)/(4piepsilon_(0))[(3q)/(3a)+(q_(2))/(3a)+(q_(1))/(3a)+(12q)/(4a)]=0`
`(1)/(4piepsilon_(0))[(3q)/(2a)+(q_(2))/(2a)+(q_(1))/(3a)+(12q)/(4a)]=0`
Solving
`q_(2)=-3q`
`|Deltaq_(2)|=9q`
`(|Deltaq_(2)|)/(|Deltaq_(1)|)=1`