Home
Class 11
PHYSICS
Three identical rods have been joined at...

Three identical rods have been joined at a junction to make it a Y shape structure. If two free ends are maintained at `45^(@)C` and the end is at `0^(@)C`, then what is the junction temperature T?

Text Solution

Verified by Experts


According to the question.
Rod are in steady state
So, `H= H_(1) + H_(2)`
`rArr (KA(T-0))/L = (KA(45-T))/L=KA(45-T)/L`
`rArr T= 45-T+45 -T rArr 3T=90 rArr T= 30^(@)`C
Promotional Banner

Topper's Solved these Questions

  • CALORIMETRY AND HEAT TRANSFER

    DC PANDEY ENGLISH|Exercise Check point 16.1|10 Videos

  • CALORIMETRY AND HEAT TRANSFER

    DC PANDEY ENGLISH|Exercise Check point 16.2|10 Videos

  • CALORIMETRY & HEAT TRANSFER

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|14 Videos

  • CENTRE OF MASS

    DC PANDEY ENGLISH|Exercise Medical entrances gallery|27 Videos

Similar Questions

Explore conceptually related problems

Three identical rods have been joined at a junction to make it a Y shape structure .If two free ends are maintained at 60"^(@)C and the thired end is at 0"^(@)C then what is the juction temperature theta ?

A rod AB is 1m long. The temperature of its one end A is maintained at 100^(@) C and other end B at 10^(@) C, the temperature at a distance of 60 cm from point B is

Three rods of material x and three of material y are connected as shown in figure. All the rods are identical in length and cross sectional area. If the end A is maintained at 60^(@)C and the junction E at 10^(@)C , calculate the temperature of the junction B. The thermal conductivity of x is 800Wm^(-1)C^(-1) and that of y is 400Wm^(-1)C^(-1) .

Three rods of material x and three of material y are connected as shown in figure. All the rods are identical in length and cross sectional area. If the end A is maintained at 60^(@)C and the junction E at 10^(@)C , calculate the temperature of the junction B . The thermal conductivity of x is 800Wm^(-1).^(@)C^(-1) and that of y is 400Wm^(-1).^(@)C^(-1) .

Two rods of same dimensions, but made of different materials are joined end to end to end with their free end being maintained at 100^(@)C and 0^(@)C respectively. The temperature of the junction is 70^(@)C . Then the temperature of the junction if the rods are inerchanged will be equal to T^(@)C Find T :

Figure shows an aluminium rod joined to a copper rod. Each of the rods has a length of 20cm and area of cross section 0.20cm^(2) . The junction is maintained at a constant temperature 40^(@)C and the two ends are maintained at 80^(@)C . Calculate the amount of heat taken out from the cold junction in one minute after the steady state is reached. The conductivities are K_(Al)=200Wm^(-1)C^(-1) . and K_(Cu)=400Wm^(-1)C^(-1) .

Three rods of identical cross - section and length are made of three different material of thermal conductivity k_(1) , k_(2) and k_(3) respectively. They are joined together at their ends to make a long rod (See figure). One end of the long rod is maintained at 100^(@)C and the other at 0^(@)C ( See figure ). If the joints of the rod are at 70^(@)C and 20^(@)C in steady state and there is no loss of energy form the surface of the rod, the correct relationship between k_(1), k_(2) and k_(3) is

Two rods of similar area of cross section and length are joined as shown in the figure. The ratio of their thermal conductivity is 2:3. The free ends are maintained at 100^(@)C and 0^(@)C respectivley. THE temperature at junction in steady state is

Three metal rods of the same material and identical in all respect are joined as shown in the figure. The temperatures at the ends are maintained as indicated. Assuming no loss of heat from the curved surface of the rods, the temperature at the junction X would be

In the figure ABC is a conducting rod whose lateral surfaces are insulated. The length of the section AB is one-half of that of BC, and the respective thermal conductivities of the two sections are as given in the figure. If the ends A and C are maintained at 0^(@)C and 70^(@)C respectively, the temperature of junction B in the steady state is

DC PANDEY ENGLISH-CALORIMETRY AND HEAT TRANSFER-Medical entrance s gallery
  1. Three identical rods have been joined at a junction to make it a Y sha...

    Text Solution

    |

  2. A black body is at a temperature of 5760 K. The energy of radiation em...

    Text Solution

    |

  3. A piece of ice falls from a height h so that it melts completely. Only...

    Text Solution

    |

  4. The two ends of a metal rod are maintained at temperature 100^(@)C and...

    Text Solution

    |

  5. The black body spectrum of an object O(1) is such that its radiant int...

    Text Solution

    |

  6. Two plates of equal area are placed in contact with each other. The th...

    Text Solution

    |

  7. If the wavelength corresponding to maximum energy radiated from the mo...

    Text Solution

    |

  8. A solid at temperature T(1) is kept in an evacuated chamber at tempera...

    Text Solution

    |

  9. A black body with surface area 0.001 m^(2) is heated upto a temperatur...

    Text Solution

    |

  10. Identify the incorrect statement.

    Text Solution

    |

  11. Water is being boiled in a flat bottomed kettle placed on a stove . Th...

    Text Solution

    |

  12. A cylinder of radius R made of a material of thermal conductivity K1 i...

    Text Solution

    |

  13. on observing light form three different stars P, Q and R, it was foun...

    Text Solution

    |

  14. A piece of ice of mass 100 g and at temperature 0^@ C is put in 200 g ...

    Text Solution

    |

  15. A pan filled with hot food cools from 94^(@)C to 86^(@)C in 2 minutes ...

    Text Solution

    |

  16. 1 g of ice at 0^@C is mixed with 1 g of steam at 100^@C. After thermal...

    Text Solution

    |

  17. Stream at 100^(@)C is passed into 20 g of water at 10^(@)C. When water...

    Text Solution

    |

  18. A 10 W electric heater is used to heat a container filled with 0.5 kg ...

    Text Solution

    |

  19. A block of ice of mass 50kg is sliding on a horizontal plane. It start...

    Text Solution

    |

  20. Same quantity of ice is filled in each of the two metal container P an...

    Text Solution

    |

  21. Two identical rods are connected between two containers. One of them i...

    Text Solution

    |