Home
Class 11
PHYSICS
A small spherical body of radius r is fa...

A small spherical body of radius r is falling under gravity in a viscous medium. Due to friction the meduim gets heated. How does the rate of heating depends on radius of body when it attains terminal velocity?

Text Solution

Verified by Experts

The correct Answer is:
A, C, D

`Rate of heat produced=Fxxv`
`=(6pietarv)v [:' Viscous F=6pietarv]`
`=(6pietar)[2/9 ((sigma-rho)r^2g)/eta]^2`
`[:' Terminal velocity=2/9 ((sigma-rho)r^2g)/eta]`
`rArrRate of heat produced propr^5`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|54 Videos
  • LAWS OF MOTION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|79 Videos

Similar Questions

Explore conceptually related problems

A small spherical ball falling under gravity in a viscous medium heat the medium due to viscous drage force. The rate of heating is proportional to r^(n) . ( r= radius of the sphere find ) n .

A small sphere falls from rest in a viscous liquid. Due to friction, heat is produced. Find the relation between the rate of produced heat and the radius of the sphere at terminal velocity.

A spherical body of diameter D is falling in viscous medium. Its terminal velocity is proportional to

A small sphere falls from rest in a viscous liquid. Due to friction, heat is prodced. Find the relation between the rate of production of heat and the radius of the sphere at terminal velocity.

A small steel ball of mass m and radius r is falling under gravity through a viscous liquid of coefficient of viscosity eta . If g is the value of acceleration due to gravity. Then the terminal velocity of the ball is proportional to (ignore buoyancy)

A small sphere falls from rest in a viscous liquid. Due to frication, heat is produced. Find the relation between the rate of production of heat and the radius of the sphere at terminal velocity.

How terminal velocity depends on the radius of the falling body?

A spherical metal ball of mass m and radius (r ) is falling through a viscous medium. The value of its terminal velocity is proportional to

The terminal velocity of a sphere of radius R, falling in a viscous fluid, is proportional to

SUNIL BATRA (41 YEARS IITJEE PHYSICS)-HEAT AND THERMODYNAMICS-JEE Main And Advanced
  1. Hot oil is circulated thorugh an insulated container with a wooden lid...

    Text Solution

    |

  2. A diatomic gas is enclosed in a vessel fitted with massless movable pi...

    Text Solution

    |

  3. A small spherical body of radius r is falling under gravity in a visco...

    Text Solution

    |

  4. A cylinder rod of length 1, thermal conductivity K and area of cross s...

    Text Solution

    |

  5. A cubical block of co-efficient of linear expansion alphas is submerge...

    Text Solution

    |

  6. A cylinder of mass 1kg is given heat of 20,000J at atmospheric pressur...

    Text Solution

    |

  7. 0.05 kg steam at 373K and 0.45kg of ice at 253K are mixed in an insult...

    Text Solution

    |

  8. A fixed thermally conducting cylinder has a radius R and height L0. Th...

    Text Solution

    |

  9. A fixed thermally conducting cylinder has a radius R and height L0. Th...

    Text Solution

    |

  10. A fixed thermally conducting cylinder has a radius R and height L0. Th...

    Text Solution

    |

  11. A small spherical monoatomic ideal gas bubble (gamma=5//3) is trapped ...

    Text Solution

    |

  12. A small spherical monoatomic ideal gas bubble (gamma=5//3) is trapped ...

    Text Solution

    |

  13. A small spherical monoatomic ideal gas bubble (gamma=5//3) is trapped ...

    Text Solution

    |

  14. In the figure, a container is shown to have a movable (without frictio...

    Text Solution

    |

  15. In the figure, a container is shown to have a movable (without frictio...

    Text Solution

    |

  16. Statement-1: The total translational kenetic energy of fall the molecu...

    Text Solution

    |

  17. A metal rod AB of length 10x has its one end A in ice at 0^@C, and the...

    Text Solution

    |

  18. A piece of ice (heat capacity=2100Jkg^-1^@C^-1 and latent heat =3.36xx...

    Text Solution

    |

  19. Two spherical bodies, A(radius 6cm) and B(radius 18cm) are at temperat...

    Text Solution

    |

  20. A diatomic ideal gas is compressed adaibatically to 1/32 of its initia...

    Text Solution

    |