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A fluid of density rho and viscosity ...

A fluid of density `rho` and viscosity `eta ` is kept in a container .The container is accelerating in horizontal direction with acceleration a . A Small solid sphere of radius r and density `rho//2` is held at the base of the container and released The distance travelled by the sphere in attaining half the terminal velocity is ` s = (rho r^(2) v_(tau))/(k eta) [ In (2) - 1/2 ] ` . Find the value of k .

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Knowledge Check

  • The gravitational acceleration on the surface of earth of radius R and mean density rho is

    A
    `(4pi//3)GR^(2)rho`
    B
    `(4pi^(2)//3)GR^(2)rho`
    C
    `(2pi^(2)//3)GR^(2)rho`
    D
    `(4pi//3)GR rho`

  • What is the moment of inertia of solid sphere of density rho and radius R about its diameter ?

    A
    `(105)/(176)R^(2)rho`
    B
    `(105)/(176)R^(2)rho`
    C
    `(176)/(105)R^(2)rho`
    D
    `(186)/(105)R^(2)rho`

  • The acceleration due to gravity at the surface of a spherical planet of radius R and uniform density rho is proportional to :

    A
    `rho R`
    B
    `rho R^(-1)`
    C
    `rho^(-1)R^(-2)`
    D
    `rhoR^(2)`

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