Home
Class 11
PHYSICS
A uniform wire of cross-sectional area A...

A uniform wire of cross-sectional area A and Young's modulus Y is stretched within the elastic limit . If S is the stress in the wire , the elastic energy density stored in the wire in terms of the given parameters is

A

`S/(2Y)`

B

`(2Y)/S^2`

C

`S^2/(2Y)`

D

`S^2/Y`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    PATHFINDER|Exercise QUESTION BANK|127 Videos
  • GRAVITATION

    PATHFINDER|Exercise QUESTION BANK|222 Videos

Similar Questions

Explore conceptually related problems

What is energy density of a stretched wire?

A wire of initial length L and area of cross section A has Young's modulus Y of its material. The wire is stretched by a stress 5 within its elastic limit. The stored energy density in the wire will be

The young modules of an wire of length ‘L’ and cross sectional area alpha is y The wire is extended in length within elastic‘limit with a stress's’. Calculate the energy density stored in the wire.

If S is stress and Y is Young’s modulus of material ofa wire the energy stored in the wire per unit volume is

Awire of length L and cross section A is made of material of Young's modulus Y. It is stretched by an amount x. The work done is

A wire of length L and cross sectional area a is stretched by l, where l lt L . Show that if the elastic limit is not exceeded, the potential energy of the wire increases by (Yal^2)/(2L)

PATHFINDER-ELASTICITY-QUESTION BANK
  1. The density of water at the surface of the ocean is rho . If the bulk ...

    Text Solution

    |

  2. One end of a uniform rod of mass M and cross sectional area A is suspe...

    Text Solution

    |

  3. A uniform wire of cross-sectional area A and Young's modulus Y is stre...

    Text Solution

    |

  4. One end of a uniform wire of length L and of weight W is attached rigi...

    Text Solution

    |

  5. An elastic spring of unstretched length L and force constant K is stre...

    Text Solution

    |

  6. What is the dimension of stress ?

    Text Solution

    |

  7. A rubber cord of cross-sectional area 2cm^2 has a length of 1m. When a...

    Text Solution

    |

  8. Two wires A and B of the same material have their lengths in the ratio...

    Text Solution

    |

  9. A metal bar of length L and area of cross-sectional A is rigidly clamp...

    Text Solution

    |

  10. The Poisson's ratio of a substance is defined

    Text Solution

    |

  11. Two strings of equal lengths and equal cross-sectional area are made o...

    Text Solution

    |

  12. A steel wire of cross-sectional area 3.0xx10^-5m^-2 stretches by the s...

    Text Solution

    |

  13. A uniform wire (Young's modulus 2xx10^11 Nm^-2) is subjected to a long...

    Text Solution

    |

  14. The length of an elastic string is 'a ' meter when the longitudinal t...

    Text Solution

    |

  15. An elastic rod will change its length when it

    Text Solution

    |

  16. A metal wire of length 'L' area of cross-section 'A' and Young's modul...

    Text Solution

    |

  17. The wire A and B as shown in figure are made of teh same material and ...

    Text Solution

    |

  18. A metal wire of length L is suspended vertically from a rigid support ...

    Text Solution

    |

  19. When a wire is stretched to double its length

    Text Solution

    |

  20. The elongation in the rod due to its own weight will be

    Text Solution

    |