Home
Class 12
PHYSICS
An irregular rod of same uniform materi...

An irregular rod of same uniform material as shown in figure is conducting heat at a steady rate. The temperature gradient at various sections versus area of cross section graph will be

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
`H= KA(dT)/(dx)` is same in steady condition, `therefore A(dT)/(dx)` = constant `therefore` rectangular hyperbolic graph
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -01|65 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -02|82 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise subjective|14 Videos

  • CURRENT ELECTRICITY

    ALLEN|Exercise All Questions|427 Videos

  • GRAVITATION

    ALLEN|Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

An irregular rod of same uniform material as shown in is conducting heat at a steady rate. The temperature gradient at varoius sections versus area of cross section graph will be .

A rod is heated at one end as shown in figure. In steady state temperature of different sections becomes constant but not same. Why so? .

Two rods (one semi-circular and other straight) of same material and of same cross-sectional area are joined as shown in the figure. The point A and B are maintained at different temperature. Find the ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a cross section of the straight rod in a given time.

A metal rod of cross sectional area 1.0cm^(2) is being heated at one end. At one time , the temperature gradient is 5.0^(@)C cm^(-1) at cross section A and is 2.5^(@)Ccm^(-1) at cross section B. calculate the rate at which the temperature is increasing in the part AB of the rod. The heat capacity of the part AB =0.40J^(@)C^(-1) , thermal conductivity of the material of the rod. K=200Wm^(-1)C^(-1) . Neglect any loss of heat to the atmosphere.

on heating a cylindrical metallic rod, its length increases by 2% . Then area of cross section of rod will

Two rods are connected as shown. The rods are of same length and same cross sectional area. In steady state, the temperature (theta) of the interface will be -

Two different rods A and B are kept as shown in figure . The variation of temperature of different cross sections with distance is plotted in a graph shown in figure . The ration of thermal conductivities of A and B is -

Conside the situation shown in figure. The frame is made of the same material and has a unifrom cross-section area everywhere. Calculate the amount of heat flowing per second through a cross section of the bent part if the total heat taken out per second from the end at 100^(@)C is 130J .

The ends of a metallic bar are maintained at different temperature and there is no loss/gain of heat from the sides of the bar due to conduction or radiation. In the steady state the temperature variation along the length of the bar is a shown in the figure what do you think about the cross sectional area of the bar?

Three rods of same material and of equal cross sectional area and length have been connected together as shown in the figure. The temperature of the junction of the rods approximately is

ALLEN-GEOMETRICAL OPTICS-SOME WORKED OUT EXAMPLES
  1. Figure shows the variations of the internal energy U With density rho ...

    Text Solution

    |

  2. One mole of an ideal gas undergoes a process whose molar heat capacity...

    Text Solution

    |

  3. An irregular rod of same uniform material as shown in figure is condu...

    Text Solution

    |

  4. A gas undergoes an adiabatic process in which pressure becomes ((8)/(3...

    Text Solution

    |

  5. Following graph shows the correct variation in intensity of heat radia...

    Text Solution

    |

  6. The temperature drop through a two layer furnace wall is 900^@C. Each ...

    Text Solution

    |

  7. 5g of steam at 100^(@)C is mixed with 10g of ice at 0^(@)C. Choose cor...

    Text Solution

    |

  8. Water contained in a jar at room temperature (20^(@)C) is intended to ...

    Text Solution

    |

  9. n moles of an ideal triatomic linear gas undergoes a process in which ...

    Text Solution

    |

  10. An ideal gas expands in such a way that PV^2 = constant throughout the...

    Text Solution

    |

  11. Which of the following processes must violate the first law of thermod...

    Text Solution

    |

  12. For an ideal gas of fixed amount, the initial pressure and volume are...

    Text Solution

    |

  13. In Newton's law of cooling (d theta)/(dt)=-k(theta-theta(0)) the const...

    Text Solution

    |

  14. The graph below shows V-p curve for three processes. Choose the correc...

    Text Solution

    |

  15. During an experiment, an ideal gas is found to obey a condition (p^2)/...

    Text Solution

    |

  16. At 20^(@)C a liquid is filled upto 10 cm height in a container of glas...

    Text Solution

    |

  17. At 20^(@)C a liquid is filled upto 10 cm height in a container of glas...

    Text Solution

    |

  18. At 20^(@)C a liquid is filled upto 10 cm height in a container of glas...

    Text Solution

    |

  19. One mole of a monoatomic ideal gas occupies two champers of a cylinder...

    Text Solution

    |

  20. One mole of a monoatomic ideal gas occupies two champers of a cylinder...

    Text Solution

    |