Home
Class 12
PHYSICS
A metal rod of length 'L' and cross-se...

A metal rod of length 'L' and cross-sectional area 'A' is heated through `'T'^(@)C` What is the force required to prevent the expansion of the rod lengthwise ?

A

`(YAalphaT)/((1-alphaT))`

B

`(YAalphaT)/((1+alphaT))`

C

`((1-alphaT))/(YAalphaT)`

D

`((1+alphaT))/(YAalphaT)`

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

An iron bar whose cross sectional area is 4cm^(2) is heated from 0^(@)C and 10^(@)C . The force required to prevent the expansion of the rod is [ Y of Iron = 2 xx 10^(12) "dyne" // cm^(2) alpha of Iron = 12 xx 10^(-6 //@) C ]

A metallic rod of length l cm and cross-sectional area A cm^(2) is heated through t^(@)C . After expansion if a mechanical force is applied normal to its length on both sides of the rod and restore its original length, what is the value of force? The young's modulus of elasticity of the metal is E and mean coefficient of linear expansion is alpha per degree Celsius.

Y is the Young's modulus of the material of a wire of length L and cross-sectional area A. It is stretched through a length l. What is the force constant of the wire?

Calculate the compressional force required to prevent the metallic rod length l cm and cross-sectional area A cm^(2) when heated through t^(@)C , from expanding along length wise. The Young's modulus of elasticity of the metal is E and mean coefficient of linear expansion is alpha per degree Celsiuss

A steel rod of length 25cm has a cross-sectional area of 0.8cm^(2) . The force required to stretch this rod by the same amount as the expansion produced by heating it through 10^(@)C is (alpha_(steel)=10^(-5)//^(@)C and Y_(steel)=2xx10^(10)N//m^(2))

Calculate the compressional force required to prevent the metallic rod of length l cm and cross sectional area Acm^2 when heated through t^@C from expanding lengthwise. Young's modulus of elasticity of the metal is E and mean coefficient of linear expansion is alpha per degree celsius.

A steel rod of length 50 cm has a cross–sectional area of 0.4 cm^(2) . What force would be required to stretch this rod by the same amount as the expansion produced by heating it through 10^(@)C . ( alpha = 10^(-5) k^(-1) and Y = 2 xx 10^(11) N//m^(2))

A steel rod of length L_0 . has a cross sectional area A. The force required to stretch this rod by the same amount as the expansion produced by heating it through DeltaT is (coefficient of linear expansion of steel is alpha and young's modulus for steel is Y ).

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:

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

    |