A horizontal composite capillary tube has a radius `2r` for a length `2L` and radius `r` for a length `L` as shown and is connected to a tank at one end and left free at the other end The tank contains a liquid of coefficient of viscosity `eta`. if a constant pressure difference `P` exist across the ends of the capillary tube, the volme flux thorugh the capillary tube is

Options

A. `((16)/(17))(piPr^(4))/(8etaL)`
B. `((9)/(8))(piPr^(4))/(8etaL)`
C. `((17)/(16))(piPr^(4))/(8etaL)`
D. `((8)/(9))(piPr^(4))/(8etaL)`

Explanation

`Q=(pipr^(4))/(8etal),R_(S)=R_(1)+R_(2)`