Five capacitors, each of capacitance value `C` are connecteed as shown in the figure. The ratio of capacitance between `P` and `R`, and the capacitance between `P` and `Q`, is.

Options

A. `3 : 1`
B. `5 : 2`
C. `2 : 3`
D. `1 : 1`

Answer

C

Explanation

In fig four capacitors are in series
`therefore" "C_(S)=C/4`
Now `C_(s)` and C are in parallel
`therefore" "C_(PQ)=C_(P)=C_(S)+C`
`=C/4+C=(5C)/4`
Now `C_(PR)=C/2+C/3=(5C)/6`
`C_(PR)/C_(PQ)=((5C)/6)/((5C)/4)=2/3`