Home
Class 12
PHYSICS
Two sheets of thickness d and 3d and of ...

Two sheets of thickness d and 3d and of same area are joined together. Temperature `T_(A), T_(B), T_(C )` shown in the figure are in geometric progression with common ration `r = 3`. Then ratio of thermal conductivity of thinner to thicker sheet is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
`T_(B) = 3T`
`T_(C ) 3T_(B) = 9T_(A)`
In steady state `P_("in") = P_("out")`
`= K_(2) A_(1) ((T_(B) - T_(C ))/(3d)) = - K_(1) A ((T_(A) - T_(B))/(d))`
`(K_(2))/(3) (-6T_(A)) = K_(1) (-2T_(A))`
`2K_(2) = 2K_(1)`
`(K_(1))/(K_(2)) = (1)/(1)`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (A)|32 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (B)|3 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART- C|4 Videos

  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

Two sheets of thickness d and 2d and same area are touching each other on their face. Temperature T_(A),T_(B),T_(C) shown are in geometric progression with common ratio r = 2. Then ratio of thermal conductivity of thinner and thicker sheet are

Two sheets of thickness d and 3d, are touching each other. The temperature just outside the thinner sheet is T_1 and on the side of the thicker sheet is T_3 . The interface temperature is T_2. T_1, T_2 and T_3 are in arithmetic progression. The ratio of thermal conductivity of thinner sheet to thicker sheet is .

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]

If a,b,c are in geometric progression and a,2b,3c are in arithmetic progression, then what is the common ratio r such that 0ltrlt1 ?

Two spherical concentric shells of radii r and 3r are kept at temperatures T_1 and T_2 as shown in the adjoining figure. If the space between the shells is filled with a liquid of thermal conductivity K, what will be the radial flow of heat through the liquid?

A thick spherical shell of inner and outer radii r and R respectively has thermal conductivity k = (rho)/(x^(n)) , where rho is a constant and x is distance from the centre of the shell. The inner and outer walls are maintained at temperature T_(1) and T_(2) (lt T_(1)) (a) Find the value of number n (call it n_(0) ) for which the temperature gradient remains constant throughout the thickness of the shell. (b) For n=n_(0) , find the value of x at which the temperature is (T_(1)+T_(2))/(2) (c) For n = n_(0) , calculate the rate of flow of heat through the shell.

Two walls of thickness d and d and thermal conductivities k and k are in contact. In the steady state, if the temperature at the outer T_(1) and T_(2) , the temperature at the common wall is

Figure shows the cross section of a wall made of white pine of thickness L_(a) and brick of thickness L_(d) = = 2.0 L_(a) , sandwiching two layers of unknonw material with identical thicknesses and thermal conductivities. The thermal conductivity of the pine is k_(a) and that of the brick is k_(d) ( = 5.0k_(a)) . The face area A of the wall is unknown. Thermal conduction through the wall has reached the steady state, the only known interface temperatures are T_(1) = 25^(@)C, T_(2) = 20^(@)C , and T_(5 ) = - 10^(@)C . What is interface temperature T_(4) ?

Two rods A and B of same cross-sectional area A and length l are connected in series between a source (T_(1)=100^(@)C) and a sink (T_(2)-0^(@)C) as shown in figure. The rod is laterally insulated. The ratio of the thermal resistance of the rods is

Two metal cubes A and B of same size are arranged as shown in Figure. The extreme ends of the combination are maintened at the indicated temperatures. The arrangement is thermally insulted. The coefficients of thermal conductivity of A and B are 300W//m ^@C and 200 W//m^@C, respectively. After steady state is reached the temperature t of the interface will be ......

BANSAL-TEST PAPERS-PHYSICS
  1. A metallic circular disc having a circular hole at its centre rotates ...

    Text Solution

    |

  2. A particle starts from rest from point P and follow a path PQ on the t...

    Text Solution

    |

  3. Two sheets of thickness d and 3d and of same area are joined together....

    Text Solution

    |

  4. The figure shows a ring in which a square is inscribed. Four equal fo...

    Text Solution

    |

  5. From a solid cylined of length 4R and radius R, two hemispheres of rad...

    Text Solution

    |

  6. Two blocks are connected by a string and pulled by a force F = 50 N. I...

    Text Solution

    |

  7. A particle moves along the trajectory of parabola y = ax^(2). Assuming...

    Text Solution

    |

  8. The end A is subjected to a tensile force F, while force applied at en...

    Text Solution

    |

  9. A particle of mass 2 kg is projected with a velocity (6 hat(i) + 8 hat...

    Text Solution

    |

  10. In the following figure (i) and (ii), all the surface are smooth strin...

    Text Solution

    |

  11. When x grams of steam at 100^(@)C is mixed with y grams of ice at 0^(@...

    Text Solution

    |

  12. A block of mass ''m' is attached with a mass - less spring of force co...

    Text Solution

    |

  13. A uniform rod of mass M = 6m and length L is at rest on a frictionless...

    Text Solution

    |

  14. A uniform metallic rod lies on a smooth horizontal surface. C is centr...

    Text Solution

    |

  15. A particle moves along a straight line parallel to x-axis at a distanc...

    Text Solution

    |

  16. Two Block A and B of masses 10 kg and 6 kg respectively are connected ...

    Text Solution

    |

  17. A thermodynamic process undergoes a cyclic process ABCDEBFGA as shown ...

    Text Solution

    |

  18. A ball of mass 20 gm is fired with velocity u at an angle of 45^(@) wi...

    Text Solution

    |

  19. Two metal wires -1 & 2 of lengths L(1) and L(2) and of same materical ...

    Text Solution

    |

  20. A vessel of volume 3V contains a gas at pressure 4 P(0) and another ve...

    Text Solution

    |