Home
Class 11
PHYSICS
Two rods of different materials having c...

Two rods of different materials having coefficient 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 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

A

`2:3`

B

`1:1`

C

`3:2`

D

`4:9`

Text Solution

Verified by Experts

The correct Answer is:
C
Thermal stress `Y_(1)alpha_(1)Deltat = Y_(2)alpha_(2)t`
Promotional Banner

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - III|23 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise NCERT BASED QUESTIONS|25 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - I (C.W.)|24 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

  • THERMODYNAMICS

    NARAYNA|Exercise Exercise|187 Videos

Similar Questions

Explore conceptually related problems

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

Two rods of different materials having coefficient of thermal expansion alpha_(1) and alpha_(2) and Young's modulues Y_(1) and Y_(2) respectively are fixed betwee two rigid massive walls. The rods are heated such that these undergo same increase in temperature. there is no bending of the rods. if alpha_(1):alpha_(2)=2:3 , the thermal stress developed in the two rods are equal, provided Y_(1):Y_(2) is

Two rods of different materials with coefficients linear thermal expansion alpha_(1), alpha_(2) , and Young's moduli Y_(1) and Y_(2) , respectively are fixed between two rigid walls. They are heated to have the same increase in temperature . If the rods do not bend and if alpha_(1) : alpha_(2) = 2 : 3 , then thermal stresses developed in the two rods will be equal when Y_(1) : Y_(2) ie equal to

Two rods of lengths l_(1) and l_(2) are made of materials having coefficients of linear expansion alpha_(1) and alpha_(2) respectively. What could be the relation between above values, if the difference in the lengths of the two rods does not depends on temperature variation?

A metal rod having coefficient of linear expansion (alpha) and Young's modulus (Y) is heated to raise the temperature by Delta theta . The stress exerted by the rod

NARAYNA-THERMAL PROPERTIES OF MATTER-LEVEL - II (C.W.)
  1. The resistance of a certain paltinum resistance thermomter is found to...

    Text Solution

    |

  2. A constant volume gas thermometer shows pressure readings of 50 cm and...

    Text Solution

    |

  3. On a hypothetical scale A the ice point is 42^(@) and the steam points...

    Text Solution

    |

  4. The upper and lower fixed points of a faulty mercury thermometer are 2...

    Text Solution

    |

  5. A Fahrenheit thermometer registers 100^(@)F while a faulty Celsius the...

    Text Solution

    |

  6. When a rod is heated from 25^(@)C to 75^(@)C, it expands by 1 mm. When...

    Text Solution

    |

  7. An iron metal rod is to maintain an accuracy of one part per million. ...

    Text Solution

    |

  8. Two metal rods have coefficients of linear exapansion 1.1 xx 10^(-5 //...

    Text Solution

    |

  9. Two rods of same length and same diametel are drawn from equal masses ...

    Text Solution

    |

  10. Two rods of different materials having coefficient of thermal expansio...

    Text Solution

    |

  11. Two uniform metal rods one of aluminium of length l(1) and another mad...

    Text Solution

    |

  12. When the temperature of a rod increases from t to r+Delta t, its momen...

    Text Solution

    |

  13. There is some change in length when a 33000 N tensile force is applied...

    Text Solution

    |

  14. Brass scale of a Barometer gives correct reading at 0^(@)C. Coefficien...

    Text Solution

    |

  15. A thin brass sheet at 10^(@)C and a thin steel sheet at 20^(@)C have t...

    Text Solution

    |

  16. A pendulum clock gives correct time at 20^(@)C at a place where g= 10m...

    Text Solution

    |

  17. Two rods of lengths L(1) and L(2) are welded together to make a compos...

    Text Solution

    |

  18. A clock pendulum made of invar has a period of 0.5sec at 20^(@)C. If t...

    Text Solution

    |

  19. A steel scale is correct at 0^(@)C. The length of a brass tube measure...

    Text Solution

    |

  20. The ratio of lengths of two rods is 1 : 2 and the ratio of coefficient...

    Text Solution

    |