A tube of radius `R` and length `L` is connected in series with another tube of radius `(R)/(2)` and length `(L)/(8)` if the pressure across the tubes taken together is P, the pressure across the two tubes separately are:

Options

A. `(P)/(2)and(P)/(2)`
B. `(P)/(3)and(3P)/(2)`
C. `(P)/(4)and(3P)/(2)`
D. `(P)/(3)and(2P)/(3)`

Answer

D

Explanation

`Q=(pir^(4))/(8etal),P=P_(1)+P_(2)`