A network of four capacitors of capacity equal to `C_(1) = C, C_(2) = 2C, C_(3) = 3C` and `C_(4) = 4C` are connected to a battery as shown in the figure. The ratio o fthe charges on `C_(2)` an `C_(4)` is

Options

A. `22//3`
B. `3//22`
C. `7//4`
D. `4//7`

Answer

B

Explanation

`1/(C_(eq))=1/C+1/(2C)+1/(3C)implies C_(eq)=(6C)/11`
`Q_1=Q_2=Q_3=C_(eq)V=((6C)/11)V`
`Q_4=C_4V=4CV`
`Q_2/Q_4=(6C)/11 xx1/(4C)=3/22`