Home
Class 11
PHYSICS
The cirtical velocity (upsilon) of flow ...

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.

Text Solution

Verified by Experts

The correct Answer is:
Correct
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Test Your Grip|50 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Fill in the blanks|50 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Value Based Questions|5 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise multiple choice Questions|13 Videos
  • PROPERTIES OF BULK MATTER

    PRADEEP|Exercise Multiple choice questions|7 Videos

Similar Questions

Explore conceptually related problems

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 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.

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

Check the accuracy of the relation eta= (pi)/(8)(Pr^4)/(lV) Here, P is pressure, V= rate of flow of liquid through a pipe, eta is coefficient of viscosity of liquid.

A vertical steel rod has radius a. The rod has a coat of a liquid film on it. The liquid slides under gravity. It was found that the speed of liquid layer at radius r is given by v=(rhogb^(2))/(2eta)ln((r)/(a))-(rhog)/(4eta)(r^(2)-a^(2)) Where b is the outer radius of liquid film, eta is coefficient of viscosity and rho is density of the liquid. (i) Calculate the force on unit length of the rod due to the viscous liquid? (ii) Set up the integral to calculate the volume flow rate of the liquid down the rod. [you may not evaluate the integral]

In dimension of circal velocity v_(0) liquid following through a take are expressed as (eta^(x) rho^(y) r^(z)) where eta, rhoand r are the coefficient of viscosity of liquid density of liquid and radius of the tube respectively then the value of x,y and z are given by

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

Derive by the method of dimensions, an expression for the volume of a liquid flowing out per second through a narrow pipe. Asssume that the rate of flow of liwquid depends on (i) the coeffeicient of viscosity eta of the liquid (ii) the radius 'r' of the pipe and (iii) the pressure gradient (P)/(l) along the pipte. Take K=(pi)/(8) .

PRADEEP-PHYSICAL WORLD AND MEASUREMENT-Problems for Practice
  1. Check the correctness of the relation h =(2 sigma cos theta)/(r^2 dg)...

    Text Solution

    |

  2. Check by the method of dimensions, the formula upsilo = (1)/(lambda)s...

    Text Solution

    |

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

    Text Solution

    |

  4. The dimension of (angular momentum/ magnetic moment) are [MA^(-1) T^(-...

    Text Solution

    |

  5. The dimension of sigma b^4 (where sigma is Stefan's constant and b is ...

    Text Solution

    |

  6. Check by the method of dimensions, whether the folllowing relation ar...

    Text Solution

    |

  7. The distnac e (x) covered by a particel in time t is given by x= a + ...

    Text Solution

    |

  8. Find the dimensions of axxb in the relation P= (a -t^2)/(bsqrtx), whe...

    Text Solution

    |

  9. In the equation y= a sin (omega t+ kx) t and x stand for time and dist...

    Text Solution

    |

  10. The position of a particle moving along x-axis depends on time accordi...

    Text Solution

    |

  11. The velocity upsilon of a particle depends upon time t, according to t...

    Text Solution

    |

  12. Write the dimensions of a//b in the relation F = a sqrtx + bt^2 where ...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the dimensions of a//b in the relation P =(b-x^2)/(at) where P is...

    Text Solution

    |

  15. Find the dimensions of axxb in the relation p= a sqrtt - bx^2, where ...

    Text Solution

    |

  16. Find the dimensions of (axxb)/(c ) in the relation F =(a)/(sqrtx) +bx ...

    Text Solution

    |

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

    Text Solution

    |

  18. The cirtical angular velocity omegac of a cylinder inside another cyli...

    Text Solution

    |

  19. Expermients show that frequency (n) of a tuning fork depends on lentgh...

    Text Solution

    |

  20. Calculate the dimensions of linear momentum and surface tension in ter...

    Text Solution

    |