Home
Class 11
PHYSICS
Two rods of the same length are kept in ...

Two rods of the same length are kept in between two rigid supports and their temperatures are increased by the same amount. What will be the relation between the Young's moduli and coefficients of linear expansion of the rods, for equal thermal stresses generated in them?

A

`Y_(1)/Y_(2)=alpha_(1)/alpha_(2)`

B

`Y_(1)/Y_(2)=sqrt(alpha_(1)/alpha_(2))`

C

`Y_(1)/Y_(2)=alpha_(2)/alpha_(1)`

D

`Y_(1)/Y_(2)=sqrt(alpha_(2)/alpha_(1))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise EXERCISE - VERY SHORT ANSWER TYPE QUESTIONS|18 Videos
  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise EXERCISE - SHORT ANSWER TYPE QUESTIONS - I|8 Videos
  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise HIGHGER ORDER THINKING SKILL (HOTS) QUESTIONS|31 Videos
  • EXPANSION OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|1 Videos
  • FIRST AND SECOND LAW OF THERMODYNAMICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

How does you relate the coefficient of linear expansion of a rod with length and temperature?

Two rods of different materials are of the same length and cross-sectional area. They are joined lengthwise and rigidly fixed between two walls. The materials of the two rods have different thermal and mechanical properties. What should be the relation between the Young's moduli and the coefficients of linear expansion of the two materials so that the position of the junction point of the rods does not alter even when heated?

The length of a stretched string between two rigid supports is 40 cm. What would be the maximum length of a stationary wave that can be formed in the string ?

When the temperature of a 3 m long iron rod is increased from 0^(@)C to 200^(@)C , the rod increases in length by 7.2 mm. Determine the coefficient of linear expansion of iron.

In two identical gas containers, equal numbers of hydrogen and helium molecules are kept at the same temperature . What will be the ratio of their pressure?

CHHAYA PUBLICATION-EXPANSION OF SOLIDS AND LIQUIDS-EXERCISE - MULTIPLE CHOICE QUESTIONS
  1. The length of a brass rod is to be measured at different temperatures....

    Text Solution

    |

  2. Young's modulus for the material of a rod is Y and its coefficient of ...

    Text Solution

    |

  3. Two rods of the same length are kept in between two rigid supports and...

    Text Solution

    |

  4. When the temperature of a metallic sphere is increased by 40^(@)C then...

    Text Solution

    |

  5. The ratio of the lengths of two metallic rods is 2:3 and the ratio of ...

    Text Solution

    |

  6. A steel scale gives correct reading at t(1)""^(@)C. With the help of t...

    Text Solution

    |

  7. Two spheres of the same material have the same radius but one is hollo...

    Text Solution

    |

  8. When a rod is heated but prevented from expanding the stress developed...

    Text Solution

    |

  9. At some temperature T, a bronze pin is a little large fit into a hole ...

    Text Solution

    |

  10. When water is heated from 0^(@)C " to " 50^(@)C, density of water

    Text Solution

    |

  11. Due to anomalous expansion of water from 0^(@)C " to " 4^(@)C, in cold...

    Text Solution

    |

  12. The relation between real and apparent expansion of a liquid is

    Text Solution

    |

  13. How many coefficients of expansion of a liquid is used in practice?

    Text Solution

    |

  14. The coefficient of real expansion of a liquid is gamma and the coeffic...

    Text Solution

    |

  15. If a liquid having coefficient of volume expansion alpha, kept in a c...

    Text Solution

    |

  16. The coefficient of volume expansion of a liquid is

    Text Solution

    |

  17. A vessel is partly filled with a liquid at 0^(@)C. The condition for w...

    Text Solution

    |

  18. Apparent weight of a body immersed in water at 20^(@)C is W(1). When t...

    Text Solution

    |

  19. Apparent weights of a body immersed in a liquid at the temperature t(1...

    Text Solution

    |

  20. Apparent weight of a piece of metal immersed in water at 0^(@)C is 100...

    Text Solution

    |