Home
Class 11
PHYSICS
Three rods of same cross-section but dif...

Three rods of same cross-section but different length and conductivity are joined in series . If the temperature of the two extreme ends are `T_(1) and T_(2) (T_(1)gtT_(2))` find the rate of heat transfer H.

Text Solution

Verified by Experts

Total thermal resistance
`R= R_(1) + R_(2) + R_93) = (L_(1)/K_(1)A) + L_(2)/(K_(2)A) + L_(3)/(K_(3)A)`
Now, Heat transfer `H=(T_(1)-T_(2))/R`
`therefore` `H = (T_(1)-T_(2))/(L_(1)/(K_(1)A) + L_(2)/(K_(2)A) + L_(3)/(K_(3)A))`
Promotional Banner

Topper's Solved these Questions

  • CALORIMETRY AND HEAT TRANSFER

    DC PANDEY|Exercise Check point 16.1|10 Videos

  • CALORIMETRY AND HEAT TRANSFER

    DC PANDEY|Exercise Check point 16.2|10 Videos

  • CALORIMETRY & HEAT TRANSFER

    DC PANDEY|Exercise Level 2 Subjective|14 Videos

  • CENTRE OF MASS

    DC PANDEY|Exercise Medical entrances gallery|27 Videos

Similar Questions

Explore conceptually related problems

A rod of length L with sides fully insulated is made of a material whose thermal conductivity K varies with temperature as K=(alpha)/(T) where alpha is constant. The ends of rod are at temperature T_(1) and T_(2)(T_(2)gtT_(1)) Find the rate of heat flow per unit area of rod .

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 .

The two ends of a rod of length L and a uniform cross-sectional area A are kept at two temperature T_(1) and T_(2) (T_(1) gt T_(2)) . The rate of heat transfer. (dQ)/(dt) , through the rod in a steady state is given by

Three rods of the same length and the same area of the cross-section are joined. The temperature of two ends one T_(1) and T_(2) as shown in the figure. As we move along the rod the variation of temperature are as shown in the following [Rods are insulated from the surrounding except at the faces]

Three rods A, B and C of the same length and cross- sectional area are joined in series as shown. The temperature at the junction of A and B , in equilibriu, is

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

The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and 2K and thicknesses x and 4x, respectively are T_(2) and T_(1)(T_(2)gtT_(1)) . The rate of heat of heat transfer through the slab, in ? steady state is [(A(T_(2)-T_(1))/(x)]f , with f equal to :-

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 hollow tube has a length l, inner radius R_(1) and outer radius R_(2) . The material has a thermal conductivity K. Find the heat flowing through the walls of the tube if (a) the flat ends are maintained at temperature T_(1) and T_(2) (T_(2)gtT_(1) (b) the inside of the tube is maintained at temperature T_(1) and the outside is maintained at T_(2) .

Find the heat current through the frustum of a cone shown in figure-4.20. Temperature of its two ends are maintained at T_(1) and T_(2) (T_(2)>T_(1)) respectively and the thermal conductivity of the material is k.

DC PANDEY-CALORIMETRY AND HEAT TRANSFER-Medical entrance s gallery
  1. Three rods of same cross-section but different length and conductivity...

    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 same area are placed in contact. Their thickness as well...

    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 meaningless

    Text Solution

    |

  11. Water is being boiled in flat bottom kettle placed on a stove. The are...

    Text Solution

    |

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

    Text Solution

    |

  13. On observing light from three different stars P, Q and R, it was found...

    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

    |