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

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

Promotional Banner

Topper's Solved these Questions

  • Units and Measurements

    SL ARORA|Exercise Exercise|499 Videos
  • THERMODYNAMICS

    SL ARORA|Exercise Exercise|342 Videos
  • VECTORS

    SL ARORA|Exercise Problems For Self Practice|56 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.

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.

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.

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

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 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.

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

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 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.

Poiseuille's's law for the flow of a liquid in a capillary tube is given by eta=(piDeltaPa^(4))/(8LV) where eta = co-efficient of viscosity of a liquid DeltaP = Pressure difference across a length (L) of a tube of radius (a) and V = Volume of the liquid flowing per second The maximum error that enters the calculations of eta is due to the measurement of

SL ARORA-Units and Measurements-Exercise
  1. The distance covered by a particle in time t is given by x=a+bt+ct^2+d...

    Text Solution

    |

  2. The critical velocity of the flow of a liquid through a pipe of radius...

    Text Solution

    |

  3. The rate flow (V) of a liquid through a pipe of radius (r ) under a pr...

    Text Solution

    |

  4. Test if the following equation is dimensionally correct: h= ((sS cos t...

    Text Solution

    |

  5. Find the dimensions of the quantity v in the equation, v=(pip(a^(2)-...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Write the dimensions of a//b in the relation P =(a+t^2)/(bx) where P i...

    Text Solution

    |

  10. Time period of an oscillating drop of radius r, density rho and surfac...

    Text Solution

    |

  11. Out of the formulae y =a sin 2pi t//T and y = a sin upsilon t for the ...

    Text Solution

    |

  12. The wavelength lambda associated with a moving electron depends on its...

    Text Solution

    |

  13. Obtain an expression for the centripetal force F acting on a particle...

    Text Solution

    |

  14. The orbital velocity v of a satellite may depend on its mass m , the ...

    Text Solution

    |

  15. A small spherical ball of radius r falls with velocity upsilon through...

    Text Solution

    |

  16. The velocity of a freely falling body is a function of the distance fa...

    Text Solution

    |

  17. Using the method of dimensions , derive an expressions for the energy ...

    Text Solution

    |

  18. A body of mass m hung at one end of the spring executes simple harmoni...

    Text Solution

    |

  19. Assuming that the critical velocity of flow of a liquid through a narr...

    Text Solution

    |

  20. By the method of dimensions, obtain an expression for the surface tens...

    Text Solution

    |