Home
Class 12
PHYSICS
We have two (narrow) capillary tubes T a...

We have two (narrow) capillary tubes T and T . Their lengths are l and l and radii of cross-section are r and r respectively. The rate of flow of water under a pressure difference P through tube T is `8 cm 3// sec`. If `l = 2l` and `r = r` what will be the rate of flow when the two tubes are connected in series and pressure difference across the combinatin is same as before `(= P)`

A

`4cm^(3)//sec`

B

`(16//3)cm^(3)//sec`

C

`(8//17)cm^(3)//sec`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`V=(piPr^(4))/(8etal)=(8cm^(3))/(sec)`
For composite tube
`V_(1)=(Ppir^(4))/(8eta(l+(l)/(2)))=(2)/(3)(piPr^(4))/(8etal)=(2)/(3)xx8=(16)/(3)(cm^(3))/(sec)" "[thereforel_(1)=l=2l_(2)" or "l _(2)=(1)/(2)]`
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    BANSAL|Exercise EXERCISE # I|21 Videos

  • FLUID MECHANICS

    BANSAL|Exercise EXERCISE # II|18 Videos

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Additional topic|70 Videos

Similar Questions

Explore conceptually related problems

The rate of flow of a liquid through a capillary tube is

Two copper wire of length l and 2l have radii, r and 2r respectively. What si the ratio of their specific resistance.?

A liquid flows through two capillary tubes A and B connected in series. The length and radius of B are twice that of A. What is the ratio of the pressure difference across A to that across B ?

The rate of flow of water in a capillary tube of length l and radius r is V. The rate of flow in another capillary tube of length 21 and radius 2 r for same pressure difference would be

Three capillaries of lengths l_(1),l_(2) and l_(3) and radii r_(1),r_(2) and r_(3) respectively are joined in series. If p is pressure difference across the combination of capallaries, what will be the volume of liquid flowing per second?

Water flows ina horizontla tube as shown in figure. The pressure of water changes by 600 N m^-2 between A and B whre the areas of cross section asre 30cm^2 and 15cm^2 respectively. Find the rate of flow of water through the tube. ,

Capillary tubes of length l and 2l are connected in series, their radii are r and 2r respectively. If stream line flow is maintained and pressure difference across first and second capillary tubes are P_(1) and P_(2) respectively then find the ratio (P_(1))/(P_(2)) .