Home
Class 12
PHYSICS
Consider a spherical shell of radius R a...

Consider a spherical shell of radius R at temperature T. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume `u=U/V propT^4` and pressure `P=1/3(U/V)`. If the shell now undergoes an adiabatic expansion the relation between T and R is :

A

`Tprope^(-R)`

B

`Tprope^(-3R)`

C

`Tprop1/R`

D

`Tprop1/(R^3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES AND RADIATION

    TARGET PUBLICATION|Exercise Evaluation test|18 Videos

  • KINETIC THEORY OF GASES AND RADIATION

    TARGET PUBLICATION|Exercise critical thinking|104 Videos

  • INTERFERENCE AND DIFFRACTION

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • MAGNETIC EFFECT OF ELECTRIC CURRENT

    TARGET PUBLICATION|Exercise EVALUATION TEST|19 Videos

Similar Questions

Explore conceptually related problems

The internal energy (U) ,pressure (P) and volume V of an ideal gas are related as U=3PV+4 .The gas is

The internal energy(U) ,pressure (P) and volume (V) of an ideal gas are related as U=3PV+4 .The gas is:

The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as U=3PV+4 . The gas is :-

The internal energy of an ideal gas is sum of total kinetic energy of molecules. Consider an ideal gas in which the relation among U, P and V is U=2+3 PV The gas is

An ideal gas with adiabatic exponent gamma = 4/3 undergoes a process in which internal energy is related to volume as U = V^2 . Then molar heat capacity of the gas for the process is :

The internal energy of an ideal diatomic gas corresponding to volume V and pressure P is U = 2.5 PV . The gas expands from 1 litre to 2 litre at a constant pressure of one atmosphere. The heat supplied to gas is

The value of gamma = C_(P)//C_(V) is 4//3 for an adaibatic process of an ideal gas for which internal energy U = K + nPV . Find the value of n ( K is constant) :

TARGET PUBLICATION-KINETIC THEORY OF GASES AND RADIATION -Competitive thinking
  1. A diatomic ideal gas is used in a Carnot engine as the working substan...

    Text Solution

    |

  2. A cylinder of fixed capacity 67 .2 litres contains helium gas at STP. ...

    Text Solution

    |

  3. A solid cube and a solid sphere of the same material have equal surfac...

    Text Solution

    |

  4. Two metallic spheres S1 and S2 are made of the same material and have ...

    Text Solution

    |

  5. Show below are the black body radiation curves at temperature T1 and T...

    Text Solution

    |

  6. Two spheres A and B having radii 3 cm and 5 cm respectively are coated...

    Text Solution

    |

  7. A liquid in a beaker has temperature theta(t) at time t and theta0 is ...

    Text Solution

    |

  8. A gaseous mixture consists of 16g of helium and 16 g of oxygen. The ra...

    Text Solution

    |

  9. A vessel of volume V contains an ideal gas at absolute temperature T a...

    Text Solution

    |

  10. A monatomic gas at a pressure P, having a volume V expands isothermall...

    Text Solution

    |

  11. An ideal gas expands isothermally from volume V(1) to V(2) and is then...

    Text Solution

    |

  12. If a piece of metal is heated to temperature theta and the allowed to ...

    Text Solution

    |

  13. n' moles of an ideal gas undergoes a process AtoB as shown in the figu...

    Text Solution

    |

  14. The amount of heat energy required to raise the temperature of 1 g of ...

    Text Solution

    |

  15. At what temperature will the R.M.S. velocity for H2 molecule-be same a...

    Text Solution

    |

  16. At what temperature , will the rms speed of oxygen molecules be suffic...

    Text Solution

    |

  17. Aseertion: Thermodynamics process in nature are irreversible. Reason...

    Text Solution

    |

  18. Assertion : In an isolated system the entropy increases. Reason : Th...

    Text Solution

    |

  19. One mole of an ideal gas requires 207J heat to raise the temperature b...

    Text Solution

    |

  20. Consider a spherical shell of radius R at temperature T. The black bod...

    Text Solution

    |