Home
Class 12
PHYSICS
A rod of length L with sides fully insul...

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 .

A

`(alpha)/(l) ln((T_(1)+T_(2))/(T_(1)))`

B

`(alpha)/(l)ln((T_(1))/(T_(2)))`

C

`(alpha)/(l)ln((2T_(1))/(T_(1)+T_(2)))`

D

`(alpha)/(l)ln((T_(1)+T_(2))/(T_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 42

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

  • NTA JEE MOCK TEST 44

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A rof of length l with thermally insulated lateral surface consists of material whose heat conductivity coefficient varies with temperature as x = alpha//T , where alpha is a constant. The ends of the rod are kept at temperatures T_1 and T_2 . Find the function T (x) , where x is the distance from the end whose temperature is T_1 , and the heat flow density.

A rod of length l with thermally insulated lateral surface consists of material whose heat conductivity coefficient varies with temperature as k= a//T , where a is a constant. The ends of the rod are kept at temperatures T_1 and T_2 . Find the function T(x), where x is the distance from the end whose temperature is T_1 .

A rod of length l with thermally insulated lateral surface is made of a material whose thermal conductivity varies as K=sc//T where c is a constant. The ends are kept at temperatures T_(1) and T_(2) . Find the temperature at a distance x from te first end where the temperature is T_(1) and the heat flow density.

A rod of length l with thermally insulated lateral surface is made of a matrical whose thermal conductivity varies as K =C//T where C is a constant The ends are kept at temperature T_(1) and T_(2) The temperature at a distance x from the first end where the temperature is T_(1), T =T_(1)((T_(2))/(T_(1)))^(nx//2l) Find the value of n? .

A rod of length l (laterally thermally insulated) of the uniform cross sectional area A consists of a material whose thermal conductivity varies with temperature as K=(K_(0))/(a+bT') where K_(0) , a and b are constants. T_(1) and T_(2)(lt T_(1)) are the temperatures of the ends of the rod. Then, the rate of flow of heat across the rod is

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

A rod of length l and cross sectional area A has a variable conductivity given by K=alphaT , where alpha is a positive constant T is temperatures in Kelvin. Two ends of the rod are maintained at temperatures T_1 and T_2(T_1gtT_2) . Heat current flowing through the rod will be

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) .

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.

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

NTA MOCK TESTS-NTA JEE MOCK TEST 43-PHYSICS
  1. A square frame ABCD is made of insulated wires and there is a short di...

    Text Solution

    |

  2. In older times, people used to think that the earth was flat. Imagine ...

    Text Solution

    |

  3. A rod of length L with sides fully insulated is made of a material who...

    Text Solution

    |

  4. The atomic ratio between the uranium isotopes .^(238)U and.^(234)U in ...

    Text Solution

    |

  5. Two identical wires A and B , each of length 'l', carry the same curre...

    Text Solution

    |

  6. A ray R(1) is incident on the plane surface of the glass slab (kept in...

    Text Solution

    |

  7. Four rods of side length l have been hinged to form a rhombus. Vertex ...

    Text Solution

    |

  8. If the radii of nuclei of .(13)Al^(27) and .(30)Zn^(64) are R(1) and R...

    Text Solution

    |

  9. The work function of a metal is in the range of 2 eV to 5 eV. Find whi...

    Text Solution

    |

  10. A drop of water of mass m and density rho is placed between two weill ...

    Text Solution

    |

  11. A rectangular glass slab ABCD of refractive index n(1) is immerged in ...

    Text Solution

    |

  12. A particle of mass m moves in the XY plane with a velocity v along the...

    Text Solution

    |

  13. A p-n junction has acceptor impurity concentration of 10^(17) cm^(-3) ...

    Text Solution

    |

  14. Find the molar heat capacity (in terms of R) of a monoatomic ideal gas...

    Text Solution

    |

  15. If an interference experiment is performed using two wavelengths close...

    Text Solution

    |

  16. A car moving towards an approaching bike. The bike is moving with a ve...

    Text Solution

    |

  17. Coefficient of kinetic friction between 3 kg and 2 kg block is 0.25. T...

    Text Solution

    |

  18. A galvanometer coil has a resistance 90 Omega and full scale deflectio...

    Text Solution

    |

  19. A man throws a ball of mass m from a moving plank (A). The ball has a ...

    Text Solution

    |

  20. In the arrangement shown in the diagram, pulleys are small and springs...

    Text Solution

    |