Home
Class 12
PHYSICS
The volume of a liquid (V) flowing per s...

The volume of a liquid (V) flowing per second through a cylindrical tube depends upon the pressure gradient `(p//l`) radius of the tube (r) coefficient of viscosity `(eta)` of the liquid by dimensional method the correct formula is  

A

` V alpha(Pr^(4))/(etal)`

B

`V oo (Pr)/(etal^(4))`

C

`V oo (Pl^(4))/(etar)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -3|66 Videos

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE- 1 B|28 Videos

  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos

  • WAVE MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET ADVANCED (INTEGER TYPE QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

The volume of a liquid flowing per second out of an orifice at the bottom of a tank does not depend upon

The rate of a flow V a of liquid through a capillary under a constant pressure depends upon (i) the pressure gradient (P/l) (ii) coefficient of viscosity of the liquid eta (iii) the radius of the capillary tube r. Show dimesionally that the rate of volume of liquid flowing per sec V∝ Pr^4 /ηl

Derive an expression for the rate of flow of a liquid through a capillary tube. Assume that the rate of flow depends on (i) pressure gradient (p/l) , (ii) The radius, r and (iii) the coefficient of viscosity, eta . The value of the proportionality constant k = pi/8 .

Explain Poiseuille's formula for the volume of liquid flowing through a capillary tube - Describe an experiment to determine the coefficient of viscosity of a liquid by Poiseuiles formula.

When a liquid flows in a tube, there is relative motion between adjacent layers of the liquid. This force is called the viscous force which tends to oppose the relative motion between the layers of the liquid. Newton was the first person to study the factors that govern the viscous force in a liquid. According to Newton’s law of viscous flow, the magnitude of the viscous force on a certain layer of a liquid is given by F = - eta A (dv)/(dx) where A is the area of the layer (dv)/(dx) is the velocity gradient at the layer and eta is the coefficient of viscosity of the liquid. The dimensional formula for the coefficient of viscosity is :

Volume rate flow of a liquid of density rho and coefficient of viscosity eta through a cylindrical tube of diameter D is Q. Reynold's number of the flow is

When a solid moves therough a liquid, the liquid opposes the miotioon with a force F. The magnitude of F depends on the coefficient of viscosity eta of the liquid, the radius r of the sphere aknd the speed v of the sphere. Assuming that F is proportional to different powers of these quantities, guess a formula for F using the method of dimension.

The mass of the liquid flowing per second per unit area of cross-section of the tube is proportional to (pressure difference across the ends)^(n) and (average velocity of the liquid)^(m) . Which of the following relations between m and n is correct?

A small metal sphere of radius a is falling with a velocity upsilon through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is eta , then the sphere encounters an opposing force of

The rate of flow of liquid in a tube of radius r, length l, whose ends are maintained at a pressure difference P is V = (piQPr^(4))/(etal) where eta is coefficient of the viscosity and Q is

AAKASH SERIES-UNITS AND MEASUREMENTS-EXERCISE -2
  1. The critical angular velocity w of a cylinder inside another cylinder ...

    Text Solution

    |

  2. A liquid drop of density rho , radius r, and surface tension sigma osc...

    Text Solution

    |

  3. The volume of a liquid (V) flowing per second through a cylindrical tu...

    Text Solution

    |

  4. The dimensions of resistivity in terms of M, L, T and Q, where Q stand...

    Text Solution

    |

  5. The distance travelled by a particle in n^(th) second is Sn =u+a/2 (2n...

    Text Solution

    |

  6. The position of a particle at time 't' is given by the equation : X(t)...

    Text Solution

    |

  7. If J is the angular momentum and E is the kinetic energy, then (J^2)/E...

    Text Solution

    |

  8. If L is the inductance, C is the capacitance and R is the resistance, ...

    Text Solution

    |

  9. If h is Planck's constant and lambda is the wave length,h/(lambda) has...

    Text Solution

    |

  10. Which of the following combinations of three different physical quanti...

    Text Solution

    |

  11. Which of the following physical quantities represent the dimensions of...

    Text Solution

    |

  12. The radius of a sphere is measured as (10 +- 0.02%) cm. The error in ...

    Text Solution

    |

  13. If length and breadth of a plane are (40 + 0.2) and (30 +- 0.1) cm, th...

    Text Solution

    |

  14. When 10 observation are taken the random error is x when 100 observati...

    Text Solution

    |

  15. The diameter of a wire as measured by a screw gauge was found to be 1....

    Text Solution

    |

  16. The percentage error in the measurement of mass and speed are 2% and 3...

    Text Solution

    |

  17. The error in the measurement of the length of a simple pendulum is 0.1...

    Text Solution

    |

  18. Two identical satellites are moving around the Earth in circular orbit...

    Text Solution

    |

  19. If the length of a cylinder is measured to be 4.28 cm with an error of...

    Text Solution

    |

  20. The side of a cube, as measured with a vernier calipers of least count...

    Text Solution

    |