Home
Class 11
PHYSICS
Coefficient of linear expansion of brass...

Coefficient of linear expansion of brass and steel rods are `a_1` and `a_2`. Lengths of brass and steel rods are`l_1` and `l_2` respectively. If `(l_2 -l_1)` is maintained same at all temperatures, which one of the following relations holds good?

A

`a_1`^2 l_2 = a_2^2 l_1`

B

`a_1 l_1 = a_2^2 l_2`

C

`a_1 l_2 = a_2^2 l_1`

D

`a_1 l_2^2 = a_2 l_1^2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Sound

    TARGET PUBLICATION|Exercise Exercise|248 Videos

Similar Questions

Explore conceptually related problems

The balancing lengths for the cells of emfs E_1 and E_2 are l_1 and l_2 respectively . If they are connected separately then

Three rods of copper, brass and steel are welded together to form a Y-shaped structure. Area of cross-section of each rod =4cm^2 . End of copper rod is maintained at 100^@C whereas ends of brass and steel are kept at O^@C . Lengths of the copper, brass and steel rods are 46, 13 and 12 cm respectively. The rods are thermally insulated from surroundings except at ends. Thermal conductivities of copper, brass and steel are 0.92, 0.26 and 0.12 CGS units respectively. Rate of heat flow through copper rod is

Decide which of the following are quadratic equations ? (l+2) (l-5)=0

Two rods, one of aluminum and the other made of steel, having initial length l_1 and l_2 are connected together to form a single rod of length l_1 + l_2 . The coefficients of linear expansion for aluminum and steel are alpha_a, and alpha_s, respectively. If the length of each rod increases by the same amount when their temperature are raised by t^@C , then find the ratio l_1/(l_1 + l_2)

Two uniform brass rods A and B of length l and 2l and radii 2r and r respectively are heated to the same temperature. The ratio of the increase in the volume of A to that of B is

Two rods of different materials having coefficients of thermal expansion alpha_1 , alpha_2 and Young's modulii Y_1 , Y_2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If alpha_1:alpha_2=2:3 , the thermal stresses developed in the two rods are equal provided Y_1:Y_2 is equal to

Decided which of the following are quadratic equations ? (iii) (l+2)(l-5)=0

A gas expands in volume from 2 L to 5 L against a pressure of1atm at constant temperature. The work done by the gas will be

A wire of length L is hanging from a fixed support. The length changes to L_(1) and L_(2) when masses M_(1)and M_(2) are suspended respectively from its free end. Then L is equal to

In a pipe opened at both ends n_(1) and n_(2) be the frequencies corresponding to vibrating lengths L_(1) and L_(2) respectively .The end correction is

TARGET PUBLICATION-Thermal Properties of Matter-Exercise
  1. Absolute zero may be regarded as that temperature at which

    Text Solution

    |

  2. The coefficient of volume expansion of an ideal

    Text Solution

    |

  3. Coefficient of linear expansion of brass and steel rods are a1 and a2....

    Text Solution

    |

  4. The density of mercury at 0^@C is 13600 (kg)/m^3 and volume coefficien...

    Text Solution

    |

  5. The value of coefficient of volume expansion of glycerin is 5 xx 10^-4...

    Text Solution

    |

  6. When water is heated from 0^@C to 10^@C, it's volume

    Text Solution

    |

  7. A metre scale made of steel reads accurately at 25^@C. Suppose in an e...

    Text Solution

    |

  8. A copper rod of 88 cm and an aluminium rod af unknown length have thei...

    Text Solution

    |

  9. A solid rectangular sheet has two different coefficients of linear exp...

    Text Solution

    |

  10. Which of the following substances (A, B and C) has the highest specifi...

    Text Solution

    |

  11. Two identical bodies are made of a material for which the heat capacit...

    Text Solution

    |

  12. Steam at 100^@C is passed into 20 g of water at 10^@C When water acqu...

    Text Solution

    |

  13. Three bodies of the same material and having masses m,m and 3m are at ...

    Text Solution

    |

  14. A thermos flask contains 250 g of coffee at 90^@C. To this 20 g of mil...

    Text Solution

    |

  15. Three different liduid A , B, C of equal masses have temperatures of ...

    Text Solution

    |

  16. The water equivalent of a calorimeter is 10 g and it contains 50 g of ...

    Text Solution

    |

  17. A copper all of mass 100 g is at a temperature T. It is dropped in a c...

    Text Solution

    |

  18. M' kg of water at 't' ^@C is divided into two parts so that one part o...

    Text Solution

    |

  19. 1 gram of ice is mixed with 1 gram of steam. At thermal equilibrium, t...

    Text Solution

    |

  20. 60 g of ice at 0^@C is mixed with 60 g of steam at 100^@C. At thermal ...

    Text Solution

    |