Home
Class 12
PHYSICS
A perfectly black sphere of diameter 0.2...

A perfectly black sphere of diameter 0.2 m is in thermal equilibrium with the surrounding. What is the temperature of the surrounding, if its rate of absorption of heat energy from the surrounding is `5.67xx4pixx10^(2)`watt?
[`sigma=5.67xx10^(-8)`S.I. units]

A

10 KJ

B

100 K

C

1000 K

D

10000 K

Text Solution

Verified by Experts

The correct Answer is:
C
`Q/t=sigmaAT^(4)`
`therefore5.67xx4pixx10^(2)=5.67xx10^(-8)xx4pixx10^(-2)xxT^(4)`
`thereforeT^(4)=10^(12)" "thereforeT=10^(3)=1000 K`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES ,THERMODYNAMICS AND RADIATION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 9|30 Videos

  • INTERFERENCE AND DIFFRACTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • MAGNETIC EFFECTS OF ELECTRIC CURRENT

    MARVEL PUBLICATION|Exercise MCQ|195 Videos

Similar Questions

Explore conceptually related problems

A sphere of 8cm radius behaves like a black body. It is in thermal equilibrium with the surrounding and absorbs 10 W of power radiated to it from surrounding. The temperature of the sphere ( sigma=5.67xx10^(-8)W//m^(2)K^(4) ) is approximately.

A sphere of 3 cm radius acts like a black body. If it is in equilibrium with its surrounding and absorb 30 K watt of energy radiated to it from the surrounding. Then the temperature of the sphere will be:

Calculate the temperature (in K) at which a perfect black body radiates energy at the rate of 5.67W cm^(-2) . Given sigma = 5.67 xx 10^(8)Wm^(-2)K^(-4) .

A body is in thermal equilibrium with surrounding. Absorptive power of the surface of the body is a = 0.5 . E is the radiant energy incident in unit time on the surface of the body. How much energy propagates from its surface in unit time?

One end of a rod of length 20cm is inserted in a furnace at 800K The sides of the rod are coverd with an insulating meterial and the other end emits radiation like a black boy The temperature of this end is 750K in the steady state The temperature of the surrounding air is 300K Assuming radiation to be the only imporatant mode of energy transfer between the surrounding and the open end of the rod, find the thermal conductivity of the rod Stefan's constant sigma = 6.0 xx 10^(8) W m^(-2) K^(-4) .

A metal ball of surface area 200 cm^(2) and temperature 527^(@)C is surrounded by a vessel at 27^(@)C . If the emissivity of the metal is 0.4, then the rate of loss of heat from the ball is (sigma = 5.67 xx10^(-8)J//m^(2)-s-k^(4))

A black ened metal sphere of radius 7 cm is encllosed in as evacuated chamber maintained at a temperature of 27^(@)C . At what rate must energy be supplied to the sphere so as to keep its temperature constant at 127^(@)C ? sigma=5.7xx10^(-8) W m^(-2) K^(-4) .

A sphere of radius 10 cm is hung inside an oven walls are at a temperature of 1000 K. Calculate total energy incident per second (in Js^(-1) ) on the sphere. Given sigma = 5.67 xx 10^(-8) SI units.

MARVEL PUBLICATION-KINETIC THEORY OF GASES ,THERMODYNAMICS AND RADIATION-TEST YOUR GRASP - 9
  1. One mole of a monoatomic ideal gas is mixed with one mole of a diato...

    Text Solution

    |

  2. Which one of the following is not true about the following thermodynam...

    Text Solution

    |

  3. During an adiabatic process, the pressure of gas is found to be propor...

    Text Solution

    |

  4. The difference between the principal specific heats of a gas is 300J/k...

    Text Solution

    |

  5. When the temperature of 4 moles of a gas was increased from 80^(@)C to...

    Text Solution

    |

  6. 100g of water is heated from 30^@C to 50^@C. Ignoring the slight expan...

    Text Solution

    |

  7. The temperature of sink of Carnot engine is 27^(@)C. Efficiency of eng...

    Text Solution

    |

  8. In an ideal refrigerator, heat from inside at 280 K is transferred to ...

    Text Solution

    |

  9. Which one of the following statements is true in the case of radiation...

    Text Solution

    |

  10. A perfectly black sphere of diameter 0.2 m is in thermal equilibrium w...

    Text Solution

    |

  11. The radiation emitted by a star A is 100 times that of the sun. If the...

    Text Solution

    |

  12. Three black bodies A, B and C in the form of cubes of sides in the rat...

    Text Solution

    |

  13. The rate of dissipation of heat by a black body at temperature T is Q....

    Text Solution

    |

  14. A body is heated to a temperature of 75^(@)C and is allowed to cool. I...

    Text Solution

    |

  15. A body cools from 50^(@)C to 46^(@)C in 5 minutes and to 40^(@)C in th...

    Text Solution

    |

  16. The maximum wavelength of radiation emitted from the sun at 6000 K is ...

    Text Solution

    |

  17. The temperature of a black body is gradually increased. The colour of ...

    Text Solution

    |

  18. The wavelength of maximum energy released during an atomic axplosion w...

    Text Solution

    |

  19. Which rays are responsible for green house effect ?

    Text Solution

    |

  20. An ideal monoatomic gas is taken round the cycle ABCDA as shown in the...

    Text Solution

    |