Water flows in a streamline manner through a capillary tube of radius a. The pressure difference being P and the rate of flow is Q . If the radius is reduced to `a//2` and the pressure difference is increased to 2P, then find the rate of flow.

Options

A. 4Q
B. Q
C. `Q/2`
D. `Q/8`

Answer

D

Explanation

`Q . = (pi (2P) ((1)/(2)) ^(4))/( 8 etal ) = (Q)/(8) " " [because Q = (pi P a ^(4))/( 8 eta l )]`