Home
Class 11
PHYSICS
If the Young's modulus of the material i...

If the Young's modulus of the material is 3 times its modulus of rigidity, then its volume elasticity will be

A

zero

B

infinity

C

`2xx10^(10) N//m^(-2)`

D

`3xx10^(10) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

(b)`Y=2eta(1+sigma)`
`implies 3eta=2eta(1+sigma)`
`implies sigma=(3)/(2)-1=(1)/(2)`
Now substituting the value of `sigma` in the following expression.
`Y=3K(1-2sigma)impliesK=(Y)/(3(1-2sigma))=oo`
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

If the Young's modulus of the material is 3 times its modulus of rigidity then its bulk modulus of elasticity will be

The Young's modulus of the material of a wire is equal ot the

To determine Young's modulus of the material of a wire,

If Young modulus is three times of modulus of rigidity, then Poisson ratio is equal to

For most materials the Youngs modulus is n times the modulus of rigidity, where n is

Young's modulus of elasticity is the ratio of

The Young's modulus, bulk modulus and the modulus of rigidity have

For a given material, the Young's modulus is 2.4 times its modulus of rigidity. What is the value of its Poisson's ratio ?

DC PANDEY-ELASTICITY-Chapter Exercise
  1. A metal block is experiencing an atmospheric pressure of 1 xx 10^(5)N/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Mark the wrong statement

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. A uniform cube is subjected to volume compression. If each side is dec...

    Text Solution

    |

  14. The longitudinal extention of any elastic material is very small.In or...

    Text Solution

    |

  15. A cable that can support a load W is cut into two equal parts .T he ma...

    Text Solution

    |

  16. when a metal wire elongates by hanging a load Mg on it , the gravitati...

    Text Solution

    |

  17. A ball falling in a lake of depth 200m shown 0.1% decrease in its volu...

    Text Solution

    |

  18. A heavy mass is attached to a thin wire and is whirled in a vertical c...

    Text Solution

    |

  19. Two wires of copper having the length in the ratio 4 : 1 and their rad...

    Text Solution

    |

  20. The interatomic distance for a metal is 3 xx 10^(-10) m. If the intera...

    Text Solution

    |