Home
Class 12
PHYSICS
The critical angular velocity w of a cyl...

The critical angular velocity w of a cylinder inside another cylinder containing a liquid at which its turbulence occurs depends on viscosity `eta`, density d and the distance x between the walls of the cylinders. Then w is proportional to

A

`(eta)`/`(x^2 d)`

B

`(eta)/(d^2 x)`

C

`(eta^2)/(xd)`

D

`(xd)/(eta)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos

  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise EXERCISE - I|156 Videos

  • SEMICONDUCTOR DEVICES

    AAKASH SERIES|Exercise EXERCISE - III|3 Videos

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -3|66 Videos

Similar Questions

Explore conceptually related problems

Two cylinders having radii 2R and R and moment of inertia 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity omega_(0) . The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rates in opposite directions. During this (A) angular momentum of system is conserved (B) kinetic energy is conserved (C neither the angular momentum nor the kinetic energy is conserved (D) both the angular momentum and kinetic energy are conserved

Two cylinders having radii 2R and R and moment of inertia 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity omega_(0) . The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rates in opposite directions. During this

A cylinider is filled with non viscous liquid of density d to a height h_(0) and a hole is made at a height h_(1) from the bottom of the cylinder. The velocity issuing out of the hole is

A cylinder rests on a horizontal rotating disc, as shown in the figure. Find at what angular velocity, omega , the cylinder falls off the disc, if the distance between the axes of the disc and cylinder is R , and the coefficient of friction mugtD//h where D is the diameter of the cylinder and It is its height.

A cylinder of radius R full of liquid of density p is rotated about its axis at w rad/s. The increase in pressure at the centre of the cylinder will be

A long cylindrical conductor of radius R having a cylindrical cavity of radius R/2 through out its length is lying with its axis parallel to x-axis. The distance between the axes of the cylinder and the cavity length in the positive x direction. The across sectional view of the cylinder is shown in the figure The magnetic induction at point on the cavity is

An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electric field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

The critical velocity v for a liquid depends upon (a) coefficient of viscosity eta (b) density of the liquid rho and © radius of the pipe r. Using dimensions derive an expression for the critical velocity.

In the shown figure inside a fixed hollow cylinder with vetical axis a pendulumm is rotating in a conical path with its axis same as that of the cylinder with uniform angular velocity. Radius of culinder is 30cm, length of string is 50cm and mass of bob is 400gm. The bob makes contact with the inner fricitonless wall of the cylinder while moving

The critical velocity v of a body depends on the coefficient of viscosity eta the density d and radius of the drop r. If K is a dimensionless constant then v is equal to

AAKASH SERIES-UNITS AND MEASUREMENT-EXERCISE - II
  1. The critical velocity v of a body depends on the coefficient of viscos...

    Text Solution

    |

  2. If velocity, force and acceleration are taken as fundamental quantitie...

    Text Solution

    |

  3. The critical angular velocity w of a cylinder inside another cylinder ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The characteristic distance at which quantum gravitational effect are ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The position of a particle at time t is given by the equation x(t) = V...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Which of the following is wheat fruit?

    Text Solution

    |

  15. A quantity X is given by epsi(0)L(DeltaV)/(DeltaT) where epsi(0) is th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Two uniform solid spheres of equal radii R, but mass M and 4 M have a ...

    Text Solution

    |