`16cm^(3)` of water flows per second through a capillary tube of radius a cm and of length l cm when connected to a pressure head of h cm of water if a tube of the same length and radius a/2 cm is connected to the same pressure head the quantity of water flowing through the tube per second will be-

Options

A. `16 cm^(3)`
B. `1 cm^(3)`
C. `4 cm^(3)`
D. `8 cm^(3)`

Answer

B

Explanation

As, `V = (pi p r^(4))/(8 eta l)`, i.e., `V prop r^(4)`
and `(V')/(V) = ((a//2)^(4))/(a^(4)) = (1)/(16)`
`rArr V' = (V)/(16) = (16)/(16) = 1 cm^(3)`