Home
Class 11
PHYSICS
The rate of flow (V) of a liquid flowing...

The rate of flow (V) of a liquid flowing through a pipe of radius r and pressure gradient (P/I) is given by Poiseuille's equation` V = (pi)/(8)(Pr^4)/(etaI)` Chack the dimensional correctness of this relation.

Text Solution

Verified by Experts

The correct Answer is:
Correct
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD AND MEASUREMENTS

    SL ARORA|Exercise Based on Deriving relationship|12 Videos

  • PHYSICAL WORLD AND MEASUREMENTS

    SL ARORA|Exercise Based on Significant|15 Videos

  • PHYSICAL WORLD AND MEASUREMENTS

    SL ARORA|Exercise problem|10 Videos

  • Physical world

    SL ARORA|Exercise Exercise|49 Videos

  • PROJECTILE MOTION

    SL ARORA|Exercise Problem For Self Practice|50 Videos

Similar Questions

Explore conceptually related problems

The rate flow (V) of a liquid through a pipe of radius (r ) under a pressure gradient (P//I) is given by V = (pi)/(8)(P R^4)/(I eta), Where eta is coefficient of visocity of the liquied. Check whether the formula is correct or not.

Using the method of dimensions, derive an expression for rate of flow (v) of a liquied through a pipe of radius (r ) under a pressure gradient (P//I) Given that V also depends on coefficient of viscosity (eta) of the liquied.

The volume of a liquied flowing out per second of a pipe of length I and radius r is written by a student as upsilon =(pi)/(8)(Pr^4)/(etaI) where P is the pressure difference between the two ends of the pipe and eta is coefficient of viscosity of the liquid having dimensioal formula ML^(-1)T^(-1). Check whether the equation is dimensionally correct.

The critical velocity of the flow of a liquid through a pipe of radius 3 is given by v_c= (K eta/rp) , where p is the density and eta , is the coefficient of viscosity of liquid. Check if this relation is dimentionally correct.

The rate of flow Q (volume of liquid flowing per unit time) through a pipe depends on radius r , length L of pipe, pressure difference p across the ends of pipe and coefficient of viscosity of liquid eta as Q prop r^(a) p^(b) eta^(c ) L^(d) , then

The rate of flow of liquid ina 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

The cirtical velocity (upsilon) of flow of a liquied through a pipe of radius (r ) is given by upsilon = (eta)/(rho r) where rho is density of liquid and eta is coefficient of visocity of the liquied. Check if the relaiton is correct dimensinally.

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 proportionally constant k =pi/8

If Q is the rate of flow of liquid through a capillary tube of length l and radius r at constant pressure P, then the rate of flow of liquid through a capillary head is

V is the volume of a liquid flowing per second through a capillary tube of length l and radius r, under a pressure difference (p). If the velocity (v), mass (M) and time (T) are taken as the fundamental quantities, then the dimensional formula for eta in the relation V=(pipr^(4))/(8etal)

SL ARORA-PHYSICAL WORLD AND MEASUREMENTS-problem for self practice
  1. If the unit of force energy and velocity are 20 N, 200J and 5m//s, fin...

    Text Solution

    |

  2. When 1m, 1kg and 1min. Are taken as the fundamental units, the magnitu...

    Text Solution

    |

  3. If the units of length and force be increased three times, show that t...

    Text Solution

    |

  4. If velocity of light is taken as the unit of velocity and an year is t...

    Text Solution

    |

  5. Test the dimensional consistency of the following equations : (i)v=u...

    Text Solution

    |

  6. Use principle of homogenity of dimensions to find which one of the fo...

    Text Solution

    |

  7. A student conclude that the velocity v of a body falling freely under ...

    Text Solution

    |

  8. The viscous force 'F' acting on a small sphere of rtadius 'r' moving w...

    Text Solution

    |

  9. The dimensions of 'k' in the relation V = k avt (where V is the volume...

    Text Solution

    |

  10. The cirtical velocity (upsilon) of flow of a liquied through a pipe of...

    Text Solution

    |

  11. The rate of flow (V) of a liquid flowing through a pipe of radius r a...

    Text Solution

    |

  12. Test if the following equations are dimensionally correct: (a) h=(2S...

    Text Solution

    |

  13. The time period of a compound pendulum is given by T=2pisqrt((I)/(mg...

    Text Solution

    |

  14. Find the dimensions of the quantity q from the expression T = 2pi sqr...

    Text Solution

    |

  15. An artificial satellite of mass m is revolving in a circualr orbit aro...

    Text Solution

    |

  16. Check by the method of dimensions, the formula v = (1)/(lambda)sqrt((...

    Text Solution

    |

  17. Check the correctness of the equation : y = a "sin" (omega t + phi), w...

    Text Solution

    |

  18. Find the dimension of (a/b) in the equation : v = a + bt , where v is...

    Text Solution

    |

  19. Write the dimensions of a xx b in the relation E = ( b - x^(2))/( at),...

    Text Solution

    |

  20. The dimension of (a)/(b) in the equation p=(a-t^(-2))/(bx) where P is ...

    Text Solution

    |