Home
Class 12
PHYSICS
Two rods of different materials having c...

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

A

`2:3`

B

`1:1`

C

`3:2`

D

`4:9`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    TARGET PUBLICATION|Exercise Evaluation test|14 Videos

  • ELASTICITY

    TARGET PUBLICATION|Exercise Critical Thinking|54 Videos

  • CURRENT ELECTRICITY

    TARGET PUBLICATION|Exercise Evaluation Test|6 Videos

  • ELECTROMAGNETIC INDUCTION

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

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

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

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

TARGET PUBLICATION-ELASTICITY-Competitive Thinking
  1. The increase in energy of a metal bar of length L and cross-sectional ...

    Text Solution

    |

  2. A stretching wire has a Young's modulus Y and energy density E. The st...

    Text Solution

    |

  3. When a long spring is stretched by 2cm, its potential energy is U. If ...

    Text Solution

    |

  4. Energy density of wire is 0.25 J//m^(3), when its extension is 0.2 cm....

    Text Solution

    |

  5. The energy stored per unit volume in copper wire, which produces longi...

    Text Solution

    |

  6. When a rubber bandis streched by a distance x , if exerts resuring fop...

    Text Solution

    |

  7. Two, spring P and (Q) of force constants K(p) and k(Q)(k(Q)=(kp)/2)are...

    Text Solution

    |

  8. Two wires having same length and material are stretched by same force....

    Text Solution

    |

  9. Coefficient of linear expansion of brass and steel rods are alpha(1) a...

    Text Solution

    |

  10. A string of length L and force constant k is stretched to obtain exten...

    Text Solution

    |

  11. A metal rod of length l, cross-sectional area A, Young's modulus Y and...

    Text Solution

    |

  12. A metal rod of length 'L' and cross-sectional area 'A' is heated ...

    Text Solution

    |

  13. An external pressure P is applied on a cube at 0^(@)C so that it is eq...

    Text Solution

    |

  14. A lift of mass 'm' is connected to a rope which is moving upward w...

    Text Solution

    |

  15. One end of a horizontal thick copper wire of length 2L and radius 2R i...

    Text Solution

    |

  16. A thick rope of density rho and length L is hung from a rigid support....

    Text Solution

    |

  17. A wire elongates by l mm when a load W is hanged from it. If the wire ...

    Text Solution

    |

  18. A pendulumd made of a uniform wire of cross sectional area (A) has tim...

    Text Solution

    |

  19. Two rods of different materials having coefficients of thermal expansi...

    Text Solution

    |

  20. The stress along the length of a rod with rectangular cross section) i...

    Text Solution

    |