Home
Class 11
PHYSICS
Two walls of thickness d and d and ther...

Two walls of thickness d and d and thermal conductivities k and k are in contact. In the steady state, if the temperature at the outer `T_(1)` and `T_(2)` , the temperature at the common wall is

A

`(k_(1)T_(1)d_(2)+k_(2)T_(2)d_(1))/(k_(1)d_(2)+k_(2)d_(1))`

B

`(k_(1)T_(1)+k_(2)d_(2))/(d_(1)+d_(2))`

C

`((k_(1)d_(1)+k_(2)d_(2))/(T_(1)+T_(2)))T_(1)T_(2)`

D

`(k_(1)d_(1)T_(1)+k_(2)d_(2)T_(2))/(k_(1)d_(1)+k_(2)d_(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    ERRORLESS |Exercise Convection|13 Videos

  • TRANSMISSION OF HEAT

    ERRORLESS |Exercise Radiation (General, Kirchoff s law, Black body)|38 Videos

  • THERMOMETRY, THERMAL EXPANSION AND CALORIMETRY

    ERRORLESS |Exercise Self Evaluation Test|15 Videos

  • UNITS, DIMENSION & MEASUREMENTS

    ERRORLESS |Exercise All Questions|333 Videos

Similar Questions

Explore conceptually related problems

Two walls of thicknes l_(1) and l_(2) and ther-mal condctivities K_(1) and K_(2) are in contact In the steady state, if the temperature at the outer faces are T_(1) and T_(2) find the temperature at the common wall .

A composite spherical shell is made up to two materials having thermal conductivities k and 2k respectively as shown in the diagram . The temperature at the innermost surface is maintained at T whereas the temperature at the outermost surface is maintained at 10 T . A, B, C and D are four points in the outer material such that AB = BC = CD. The effective thermal resistance between the inner surface of the shell and the outer surface of the shell for the radial heat flow is

If two conducting slabs of thickness d_1 and d_2 , and thermal conductivity K_1 and K_2 are placed together face to face as shown in figure in the steady state temperature of outer surfaces are theta_1 and theta_2 . The temperature of common surface is-

Two plates of same area are placed in contact. Their thickness as well as thermal conductivities are in the ratio 2:3 . The outer surface of one plate is maintained at 10^(@) C and that of the other at 0^(@) C. What is the temperature at the common surface?

A wall has two layers A and B, each made of different materials. Both layers are of same thickness. But, the thermal conductivity of material A is twice that of B. If, in the steady state, the temperature difference across the wall is 24^(@)C , then the temperature difference across the layer B is :

Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures T_(1) = 300K and T_(2) = 100 K , as shown in the figure. The radius of the bigger cylinder is twice that of the smaller one and the thermal conductivities of the materials of the smaller and the larger cylinders are K_(1) and K_(2) respectively. If the temperature at the junction of the two cylinders in the steady state is 200 K, then K_(1)//K_(2)= __________. (##JA_18_PHY_P1_E02_008_Q01.png" width="80%">

Two bodies of masses m_(1) and m_(2) and specific heat capacities S_(1) and S_(2) are connected by a rod of length l, cross-ssection area A, thermal conductivity K and negligible heat capacity. The whole system is thermally insulated. At time t=0 , the temperature of the fisrt body is T_(1) and the temperature of the second body is T_(2)(T_(2)gtT_(1)) . Find the temperature difference between the two bodies at time t.

A composite wall of area A is made of equal thickness of lead and iron having thermal conductivities K and 2K, respectively. The temperature on the two sides of the composite wall are 100^(@)C and 0^(@)C with the layer on the hotter side. Calculate the steady -state temperature of the lead-iron interface.

ERRORLESS -TRANSMISSION OF HEAT-ET Self Evaluation Test
  1. Two walls of thickness d and d and thermal conductivities k and k are...

    Text Solution

    |

  2. A rod of 40 cm in length and temperature difference of 80^(@)C at its ...

    Text Solution

    |

  3. Two vessels of different materials are similar in size in every respec...

    Text Solution

    |

  4. In a steady state of thermal conduction, temperature of the ends A and...

    Text Solution

    |

  5. Four rods of silver, copper, brass and wood are of same shape. They ar...

    Text Solution

    |

  6. The two opposite faces of a cubical piece of iron (thermal conductivit...

    Text Solution

    |

  7. Wein's constant is 2892xx10^(-6) MKS unit and the value of lambda(m) f...

    Text Solution

    |

  8. If at temperature T(1) = 1000 K the wavelength is 1.4 xx 10^(-6)m then...

    Text Solution

    |

  9. The wavelength of maximum intensity of radiation emitted by a star is ...

    Text Solution

    |

  10. Two friends A and B are waiting for another friend for tea. A took the...

    Text Solution

    |

  11. There are two spherical balls A and B of the same material with same s...

    Text Solution

    |

  12. Five identical rods are joined as shown in figure. Point A and C are ...

    Text Solution

    |

  13. We cannot boil water inside the earth's satellite. Explain.

    Text Solution

    |

  14. In the following figure, two insulating sheets with thermal resistance...

    Text Solution

    |

  15. The top of an insulated cylindrical container is covered by a disc hav...

    Text Solution

    |

  16. Figure. Shows two air filled bulbs connected by a U-tube partly filled...

    Text Solution

    |

  17. Two conducting rods A and B of same length and cross-sectional area ar...

    Text Solution

    |

  18. The area of the glass of a window of a room is 10 m^(2) and thickness ...

    Text Solution

    |

  19. The spectrum from a black body radiation is a

    Text Solution

    |

  20. The Wien’s displacement law express relation between

    Text Solution

    |

  21. A black body is heated from 27^(@)C to 127^(@)C. The ratio of their en...

    Text Solution

    |