Home
Class 12
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

`(2E)/(Y)`

B

`(4E)/(Y)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
`E=(("strain")^(2)y)/(2) therefore " strain"=sqrt((2E)/(y))`
Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    NIKITA PUBLICATION|Exercise Multiple Choice Questions|314 Videos

  • ELECTROMAGNETIC INDUCTION

    NIKITA PUBLICATION|Exercise MCQs|431 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

NIKITA PUBLICATION-ELASTICITY-MCQ
  1. If a wire having initial diameter of 2 mm produced the longitudinal st...

    Text Solution

    |

  2. The energy stored per unit volume in copper wire, which produces longi...

    Text Solution

    |

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

    Text Solution

    |

  4. The stress in a wire of diameter 2 mm, if a load of 100 g is applied t...

    Text Solution

    |

  5. The bulk modulus of a gas is 6xx10^(3) N//m^(2). The additional pressu...

    Text Solution

    |

  6. Under the action of load F(1), the length of a string is L(1) and that...

    Text Solution

    |

  7. Poisson's ratio of a material is 0.5 percentage change in its length i...

    Text Solution

    |

  8. Relation between Y,etaandK is

    Text Solution

    |

  9. When the load on a wire is increased slowly from 1 kg wt to 2 kg wt th...

    Text Solution

    |

  10. Relation between Y,etaandK is

    Text Solution

    |

  11. The Poisson's ratio is defined as

    Text Solution

    |

  12. If M=mass of wire, rho=density of wire, R=radius of wire, r=change in ...

    Text Solution

    |

  13. The length of a metal wire is l(1) when the tension in it is T(1) and ...

    Text Solution

    |

  14. The work done by surface tension on rising water do height of h in a c...

    Text Solution

    |

  15. Two wires of same material and length are stretched by the same force...

    Text Solution

    |

  16. The length of a metal wire is l(1) when the tension in it is T(1) and ...

    Text Solution

    |

  17. The buckling of a beam is found to be more if

    Text Solution

    |

  18. A metal rod having coefficient of linear expansion (alpha) and Young'...

    Text Solution

    |

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

    Text Solution

    |

  20. The ratio of diameters of two wires of same material is n:1. The lengt...

    Text Solution

    |