Home
Class 11
PHYSICS
Six identical cunducting rods are joined...


Six identical cunducting rods are joined as shown in Fig. Points A and D are maintained at temperatures `200^@C` and `20^@C` respectively. The temperature of junction B will be

A

`120^@C`

B

`100^@C`

C

`140^@C`

D

`80^@C`

Text Solution

Verified by Experts

The correct Answer is:
C

Let the thermal resistance of each rod be R. The two resistance connected along two paths from B to C are equivalent to 2 R each and their parallel combination is R. Effective thermal resistance between B and `D=2R` temperature of inteface`theta=(R_1theta_2+R_2theta_1)/(R_1+R_2)`
`theta=(Rxx20+2Rxx200)/(R+2R)=(420)/(3)=140^@C`
Promotional Banner

Topper's Solved these Questions

  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Multiple Correct|25 Videos

  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Comprehension|30 Videos

  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Subjective|25 Videos

  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.6|20 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Five identical rods are joined as shown in figure. Point A and C are maintained at temperature 120° C and 20° C respectively. The temperature of junction B will be

Two identical rods are joined at their middle points The ends are maintained at constant temperatures as indicated Find the temperature of the junction .

Three rods AB, BC and BD having thermal conductivities in the ratio 1:2:3 and lengths in the ratio 2:1:1 are joined as shown in Fig. The ends A, C and D are at temperature T_1 , T_2 and T_3 respectively Find the temperature of the junction B. Assume steady state.

Three rods AB, BC and AC having thermal resistances of 10 units, 10 units and 20 units, respectively, are connected as shown in the figure. Ends A and C are maintained at constant temperatures of 100^@C and 0^@C , respectively. The rate at which the heat is crossing junction B is

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

Three rods are made from the same material and having the same cross-sectional area and length have been joined as shown in the figure. The left end and right end are kept 0^@C and 100^@C , respectively . The temperature of the junction of three rods will be

Two identical conducting rods AB and CD are connected to a circular conducting ring at two diametrically opposite points B and C, the radius of the ring is equal to the length of rods AB and CD. The area of cross-section, thermal conductivity of the rod and ring are equal. points A and D are maintained at temperatures of 100^(@)C and 0^(@)C . temperature at poimt C will be

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 :

A rod CD of thermal resistance 10.0KW^(-1) is joined at the middle of an identical rod AB as shown in figure. The ends A, B and D are maintained at 200^(@)C , 100^(@)C and 125^(@)C respectively. The heat current in CD is P watt. The value of P is __________.

Three rods made of the same material and having the same cross-section have been joined as shown in the figure. Each rod is of the same length. The left and right ends are kept at 0^@C and 90^@C , respectively. The temperature of junction of the three rods will be (a) 45^@C (b) 60^@C (c) 30^@C (d) 20^@C .

CENGAGE PHYSICS-CALORIMETRY-Single Correct
  1. Three rods of same dimensions are arranged as shown in Fig. They have ...

    Text Solution

    |

  2. The coefficient of thermal conductivity of copper is nine times that o...

    Text Solution

    |

  3. Six identical cunducting rods are joined as shown in Fig. Points A and...

    Text Solution

    |

  4. An ice box used for keeping eatables cool has a total wall area of 1m^...

    Text Solution

    |

  5. The only possibility of heat flow in a thermos flask is through its co...

    Text Solution

    |

  6. Certain substance emits only the wavelengths lamda1,lamda2,lamda3 and ...

    Text Solution

    |

  7. Figure. Shows two air filled bulbs connected by a U-tube partly filled...

    Text Solution

    |

  8. A black body at 200 K is found to emit maximum energy at a wavelength ...

    Text Solution

    |

  9. The energy spectrum f a black body exhibits a maximum around a wavelen...

    Text Solution

    |

  10. The wavelength of maximum energy released during an atomic axplosion w...

    Text Solution

    |

  11. The rectangular surface of area 8 cm xx 4 cm of a black body at temper...

    Text Solution

    |

  12. A solid copper cube of edges 1 cm is suspended in an evacuated enclosu...

    Text Solution

    |

  13. A sphere, a cube and a thin circular pate are heated to the same tempe...

    Text Solution

    |

  14. A sphere and a cube of same material and same volume are heated up to ...

    Text Solution

    |

  15. A substance cools from 75^@C to 70^@C in T1 minute, from 70^@C to 65^@...

    Text Solution

    |

  16. A liquid takes 5 minutes to cool from 80^@C to 50^@C . How much time w...

    Text Solution

    |

  17. A body takes T minutes to cool from 62^@C to 61^@C when the surroundin...

    Text Solution

    |

  18. The rates of cooling of two different liquids put in exactly similar c...

    Text Solution

    |

  19. Hot water cools from 60^@C to 50^@C in the first 10 min and to 42^@C i...

    Text Solution

    |

  20. There are two thin spheres A and B of the same material and same thick...

    Text Solution

    |