Home
Class 11
PHYSICS
A metallic wire is stretched by suspendi...

A metallic wire is stretched by suspending weight to it. If `alpha` is the longitudinal strain and Y its Young's modulus of elasticity, shown that the elastic potential energy per unit volume is given by `Y alpha^(2)//2`

Promotional Banner

Topper's Solved these Questions

  • Mechanical Properties of Solids

    SL ARORA|Exercise Example|113 Videos

  • Mechanical Properties of fluids

    SL ARORA|Exercise Exercise|459 Videos

  • MECHANICS

    SL ARORA|Exercise Exercise|341 Videos

Similar Questions

Explore conceptually related problems

A metallic wire is stretched by suspending a weight of it. If alpha^(2) is the longitudinal strain and Y is its Young's modulus of elasticity, then slow that the elastic potential energy per unit volume is given by 1//2Y^(2) .

A metallic wire is suspended by suspending weight to it. If S is longitudinal strain and Y its young's modulus of elasticity then potential energy per unit volume will be

A metallic wire is suspended by attaching some weight to it. If alpha is the longitudinal strain and Y is Young's modulus, then the ratio of elastic potential energy to the energy density is equal to

The elastic potential energy of a stretched wire is given by

A metallic wire of length L, area of cross-section A is suspended by attaching some wieght to it. If alpha is the longitudinal strain and Y is Young's modulus, find the ratio between elastic potential energy and the elastic energy density.

On stretching a wire, the elastic energy stored pre unit volume is

If x is the strain produced in a wire having the Young's modulus Y, then the strain energy per unit volume is

If 'S' is stress and 'Y' is young's modulus of material of a wire, the energy stored in the wire per unit volume is

The elastic energy per unit volume is terms of longitudinal strain sigma and Young's modulus Y is

SL ARORA-Mechanical Properties of Solids-Example
  1. A bar of cross section A is subjected to equal and opposite tensile fo...

    Text Solution

    |

  2. A bar of cross section A is subjected to equal and opposite tensile fo...

    Text Solution

    |

  3. A metallic wire is stretched by suspending weight to it. If alpha is t...

    Text Solution

    |

  4. A copper wire of negligible mass, 1 m length and cross-sectional area ...

    Text Solution

    |

  5. A load of 31.4 kg is suspended from a wire of radius 10^(-3) m and den...

    Text Solution

    |

  6. Alight rod of length 2 m is suspended horizontlly from the ceiling b...

    Text Solution

    |

  7. A thin rod of negligible mass and area of cross-section 4 xx 10^(-6)m^...

    Text Solution

    |

  8. A stone of 0.5 kg mass is attached to one end of a 0.8 m long aluminiu...

    Text Solution

    |

  9. A steel wire of length 4.87 mm and cross-section 3.0 xx 10^(-5) m^(2)...

    Text Solution

    |

  10. Two wires of diameter 0.25 cm, one made of steel and the other made of...

    Text Solution

    |

  11. The edges of an aluminum cube are 10 cm long. One face of the cube is ...

    Text Solution

    |

  12. Four identical hollow cylindrical cloumns of steel support a big struc...

    Text Solution

    |

  13. A piece of copper having a rectangular cross section of 15.2 xx 19.1 m...

    Text Solution

    |

  14. A steel cable with a radius of 1.5 cm support a chairlift at a ski are...

    Text Solution

    |

  15. A rigid bar of mass 15 kg is supported symmetrically by three wires ea...

    Text Solution

    |

  16. A 14.5 kg mass, fastened to the end of a steel wire of unstretched len...

    Text Solution

    |

  17. Compute the bulk modulus of water from the following data : initial vo...

    Text Solution

    |

  18. What is the density of ocean water at a depth, where the pressure is 8...

    Text Solution

    |

  19. Compute the fractional change in volume of a glass slab, when subjecte...

    Text Solution

    |

  20. The volume change of a solid copper cube 20 cm on an edge, when subjec...

    Text Solution

    |