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

series, `(1)/(C')=(1)/(c)+(1)/(2C)+(1)/(3C)`
` C'=(6C)/(11)`
ratio of charges on `C_(2)` and `C_(4)` is `((6CV//11))/(4CV)=(3)/(22)`