Home
Class 12
PHYSICS
Two rods of same length and cross sectio...

Two rods of same length and cross section are joined along the length. Thermal conductivities of first and second rod are `K_(1)` and `K_(2)`. The temperature of the free ends of the first and seconds rods are maintained at `theta_(1)` and `theta_(2)` respectively. The temperature of the common junction is

A

`(theta_(1_+theta_(2))/(2))`

B

`(k_(1)theta_(1)+k_(2)theta_(2))/(k_(1)+k_(2))`

C

`(k_(1)theta_(2)+k_(2)theta_(1))/(k_(1)+k_(2))`

D

`(|k_(1)theta_(1)+k_(2)theta_(2)|)/(|k_(1)_k_(2)|)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • EXPERIMENTAL PHYSICS

    D MUKHERJEE|Exercise chose the correct|4 Videos
  • IIT QUESTIONS 1

    D MUKHERJEE|Exercise Matrix-Matching Type|1 Videos

Similar Questions

Explore conceptually related problems

Two bars of same length and same cross-sectional area but of different thermal conductivites K_(1) and K_(2) are joined end to end as shown in the figure. One end of the compound bar it is at temperature T_(1) and the opposite end at temperature T_(2) (where T_(1) gt T_(2) ). The temperature of the junction is

Two identical rods are made of different materials whose thermal conductivities are K_(1) and K_(2) . They are placed end to end between two heat reservoirs at temperatures theta_(1) and theta_(2) . The temperature of the junction of the rod is

Consider two rods of equal cross - sectionai area A, one of Aluminium and other of iron joined end to end as shown in figure -4.8. Length of the two rods and their thermal coductivities are l_(1) , k_(1) and l_(2),k_(2) respectively . If the ends of the rods are maintained at temperature T_(1) and T_(2),(T_(1)gt T_(2)) find the temperature of the junction in steady state .

Two rods having thermal conductivity in the ratio of 5 : 3 having equal lengths and equal cross-sectional area are joined by face to face. If the temperature of the free end of the first rod is 100^(@)C and free end of the second rod is 20^(@)C . Then temperature of the junction is

Two rods of the same length and areas of cross-section A_1 and A_2 have their ends at the same temperature. K_1 and K_2 are the thermal conductivities of the two rods. The rate of flow of heat is same in both the rods if-

A rod of length l and cross-section area A has a variable thermal conductivity given by K = alpha T, where alpha is a positive constant and T is temperature in kelvin. Two ends of the rod are maintained at temperature T_(1) and T_(2) (T_(1)gtT_(2)) . Heat current flowing through the rod will be

One end of thermally insulated rod is kept at a temperature T_(1) and the other at T_(2) . The rod is composed of two section of length l_(1) and l_(2) thermal conductivities k_(1) and k_(2) respectively. The temerature at the interface of two section is

Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are K_(1) and K_(2) . The thermal conductivity of the composite rod will be

Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are K_(1) and K_(2) . The thermal conductivity of the composite rod will be

D MUKHERJEE-HEAT AND THERMODYNAMICS-All Questions
  1. In the previous question, if the specific latent heat of vaporization ...

    Text Solution

    |

  2. A substance of mass M kg requires a power input of P wants to remain i...

    Text Solution

    |

  3. Two rods of same length and cross section are joined along the length....

    Text Solution

    |

  4. A cylinder of radius R made of a material of thermal conductivity K(1)...

    Text Solution

    |

  5. A spherical black body with a radius of 12 cm radiates 450 watt power ...

    Text Solution

    |

  6. Two spherical black bodies of radii R(1) and R(2) and with surface tem...

    Text Solution

    |

  7. A body cools from 50^(@)C to 40^(@)C in 5 min. The surroundings temper...

    Text Solution

    |

  8. In the previous question will be its temperature 5 min after reaching ...

    Text Solution

    |

  9. A metal rod is shaped into a ring with a small gap. If this is heated,...

    Text Solution

    |

  10. The average translational energy and the rms speed of molecules in a s...

    Text Solution

    |

  11. Let barv,v(rms) and vp respectively denote the mean speed. Root mean s...

    Text Solution

    |

  12. Two identical containers A and B have frictionaless pistons. They cont...

    Text Solution

    |

  13. A gas undergoes a process in which its pressure P and volume V are rel...

    Text Solution

    |

  14. A gas with (c(p))/(c(V))=gamma goes from an intial state (p(1), V(1), ...

    Text Solution

    |

  15. A gas may expand either adiabatically or isothermally. A number of p-V...

    Text Solution

    |

  16. A gas expands such that its initial and final temperatures are equal. ...

    Text Solution

    |

  17. The following are the P-V diagrams for cyclic processes for a gas. In ...

    Text Solution

    |

  18. Two gases have the same initial pressure, volume and temperature. They...

    Text Solution

    |

  19. In the previous question, if the two gases are compressed to the same ...

    Text Solution

    |

  20. In the cyclic process shown in the V-P diagram the magnitude of the wo...

    Text Solution

    |