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

`(Y A alpha T)/((1 - alpha T))`

B

`(Y A alpha T)/((1 + alpha T))`

C

`((1 - alpha T))/(Y A alpha T)`

D

`((1 + alpha T))/(Y A alpha T)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA NEET SET 110

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos

  • NTA NEET SET 114

    NTA MOCK TESTS|Exercise PHYSICS|45 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:

NTA MOCK TESTS-NTA NEET SET 113-PHYSICS
  1. The x-t graph of a particle undergoing simple harmonic motion is shown...

    Text Solution

    |

  2. Two springs are joined and attached to a mass of 16 kg. The system is ...

    Text Solution

    |

  3. A particle is dropped from a height H. The de Broglie wavelength of th...

    Text Solution

    |

  4. The wavelength of de-Broglie wave associated with a thermal neutron of...

    Text Solution

    |

  5. Bernoulli's theorem is a consequence of the law of conservation of

    Text Solution

    |

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

    Text Solution

    |

  7. Two plano-convex lenses of focal lengths 20cm and 30cm are placed toge...

    Text Solution

    |

  8. A linear object of heigth 10 cm is kept in front of concave mirror of ...

    Text Solution

    |

  9. A uniform disc of mass M and radius R is hinged at its centre C. A for...

    Text Solution

    |

  10. A solid cylinder is rolling without slipping down an inclined plane. T...

    Text Solution

    |

  11. The energy gap in case of which of the following is maximum?

    Text Solution

    |

  12. The given electrical network is equivalent to

    Text Solution

    |

  13. A copper rod of length l(0) at 0^(@)C is placed on smooth surface. Now...

    Text Solution

    |

  14. If force, length and time are taken as fundamental units, then the dim...

    Text Solution

    |

  15. Two identical light waves having phase difference 'phi' propagate ...

    Text Solution

    |

  16. The fringes produce in diffraction pattern are of

    Text Solution

    |

  17. A string has a length of 5 cm between fixed points and has a fundament...

    Text Solution

    |

  18. The equation of a sound wave is y=0.0015sin(62.4x+316t) the wavelength...

    Text Solution

    |

  19. Two men with weights in the ratio 4:3 run up a staircase in time in th...

    Text Solution

    |

  20. A force F = 2hati + 4hatj Newton displaces the body by s = 3hatj + 5ha...

    Text Solution

    |