Home
Class 11
PHYSICS
The Young's modulus of a wire Y. If the ...

The Young's modulus of a wire Y. If the energy per unit volume is E, then the strain will be

A

`sqrt((2E)/(Y))`

B

`Esqrt(2Y)`

C

EY

D

`(E)/(Y)`

Text Solution

Verified by Experts

The correct Answer is:
A

(a) Energy per unit volume `=(1)/(2)xxYxx("strain")^(2)`
`therefore "Strain" =sqrt((2E)/(Y))`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    DC PANDEY|Exercise Match the columns|4 Videos
  • ELASTICITY

    DC PANDEY|Exercise Medical entrances s gallery|21 Videos
  • ELASTICITY

    DC PANDEY|Exercise Check point 12.3|15 Videos
  • CURRENT ELECTRICITY

    DC PANDEY|Exercise All Questions|434 Videos
  • ELECTROSTATICS

    DC PANDEY|Exercise Integer|17 Videos

Similar Questions

Explore conceptually related problems

Young's modulus of a wire depends on

Strain energy per unit volume is given by

The energy stored per unit volume of a strained wire is

The unit of Young’s modulus is

The strain energy per unit volume of a stretched wire is

A metallic rod of Young's modulus 2xx10^(11)Nm^(2) undergoes a strain of 0.5% . Then the energy stored per unit volume in the rod will be

A wire of length L_0 is supplied heat to raise its temperature by T. if gamma is the coefficient of volume expansion of the wire and Y is Young's modulus of the wire then the energy density stored in the wire is

DC PANDEY-ELASTICITY-Chapter Exercise
  1. For steel Y=2xx10^(11) Nm^(-2). The force required to double the lengt...

    Text Solution

    |

  2. Longitudinal stress of 1 kg//mm^(2) is applied on a wire. The percenta...

    Text Solution

    |

  3. The Young's modulus of a wire Y. If the energy per unit volume is E, t...

    Text Solution

    |

  4. When a force is applied at one end of an elastic wire, it produce a st...

    Text Solution

    |

  5. The young's modulus of a wire of length (L) and radius (r ) is Y. If t...

    Text Solution

    |

  6. The Young's modulus of a wire is numerically equal

    Text Solution

    |

  7. The length of an iron wire is L and area of cross-section is A. The in...

    Text Solution

    |

  8. The graph show the behaviour of a length of wire in the region for whi...

    Text Solution

    |

  9. A metal block is experiencing an atmospheric pressure of 1 xx 10^(5)N/...

    Text Solution

    |

  10. The bulk modulus of water is 2.1xx10^(9) Nm^(-2). The pressure require...

    Text Solution

    |

  11. If the Young's modulus of the material is 3 times its modulus of rigid...

    Text Solution

    |

  12. For a given material the Young's modulus is 2.4 times that of its ri...

    Text Solution

    |

  13. Mark the wrong statement

    Text Solution

    |

  14. The increase in length on stretching a wire is 0.05 %. If its poisson'...

    Text Solution

    |

  15. A spring is stretched by applying a load to its free end. The strain...

    Text Solution

    |

  16. An elastic material of Young's modulus Y is subjected to a stress S. ...

    Text Solution

    |

  17. The temperature of a wire is doubled. The Young's modulus of elasticit...

    Text Solution

    |

  18. When a pressure of 100 atmosphere is applied on a spherical ball, then...

    Text Solution

    |

  19. A 5 metre long wire is fixed to the ceiling. A weight of 10kg is hung ...

    Text Solution

    |

  20. A rectangular block of size 10 cm xx 8 cm xx 5 cm is kept in three dif...

    Text Solution

    |