Home
Class 12
PHYSICS
A metal rod of length l, cross-sectional...

A metal rod of length l, cross-sectional area A, Young's modulus Y and coefficient of linear expansion `alpha` is heated to `t^(@)C`. The work that can be performed by the rod when heated is

A

`(YAalphaLt^2)/(2)`

B

`(YAalpha^2Lt^2)/(2)`

C

`(YAalpha^2 L^2t^2)/(2)`

D

`(YAalphaLt)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

A metal rod of length l, cross-sectional area A, Youngs modulus Y and coefficient of linear expansion alpha is heated to t^(@)C . The work that can be performed by the rod when heated is

A metal rod of length 'L', cross-sectional area 'A', Young's modulus 'Y' and coefficient of linear expansion 'alpha' is heated to 't'^(@)C . The work that can be perfomred by the rod when heated is

A metallic rod of length 'L' and cross-section 'A' has Young's modulus 'Y' and coefficent of linear expansion 'alpha' . If the rod is heated to a temperature. 'T' the energy stored per unit volume is:

A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod. It Young's modulus is T and Coefficient if linear expansion is alpha . If the temperature of the rod is increased by Deltat^(@)C , the force exerted by the rod on the supports is

A metal wire of length L, area of cross-section A and Young's modulus Y behaves as a spring of spring constant k.

A rod of length l and coefficient of linear expansion alpha . Find increase in length when temperature changes from T to T+ DeltaT

A rod of length l and coefficient of linear expansion alpha . Find increase in length when temperature changes from T to T+ DeltaT

A metallic rod of length l and cross-sectional area A is made of a material of Young's modulus Y. If the rod is elongated by an amount y,then the work done is proportional to

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

    |