Home
Class 12
PHYSICS
A cube at temperature 0^(@)C is compress...

A cube at temperature `0^(@)C` is compressed equally from all sides by an external pressure P. By what amount should its temperature be raised to bring it back to the size it had before the external pressure was applied. The bulk modulus of the material of the cube is B and the coefficient of linear expansion is a

A

`(P)/(B alpha)`

B

`(PB)/(3alpha)`

C

`(3B alpha)/(P)`

D

`(3alpha)/(PB)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

A cube is compressed at 0^(@)C equally from all sides by an external pressure p. By what amount should be temperature be raised to bring it back to the size it had before the external pressure was applied? Given, B is bulk modulus of elasticity of the material of the cube and alpha is the coefficient of linear expansion.

A uniform pressure p is exerted on all sides of a solid cube of a meterial at temprature t^(@)C . By what amount should the temperature of the cube be raised in order to bring its original volume back to the value it had before the pressure was applied ? K is the bulk modulus and alpha is the coefficient of linear expansion of material of solid cube.

A uniform pressure P is exerted by an external agent on all sides of a solid cube at temperature t^(@)C . By what amount should the temperature of the cube be raised in order to bring its volume back to its original volume before the pressure was applied if the bulk modulus is B and co-efficient of volumetric expansion is gamma ?

A uniform pressure P is exerted on all sides of a solid cube at temperature t ""^(@)C . By what amount should the temperature of the cube be raised in order to bring its volume back to the value it had before the pressure was applied? The coefficient of volume expansion of cube is alpha and the bulk modulus is K.

The pressure applied from all direction on a cube is P. How much its temperature should be raised to maintain the original volume ? The volume elasticity of the cube is beta and the coefficient of volume expansion is alpha

A unifrom pressure P is exerted P is exerted on all sides of a solid cube at temperature be raised in order to bring cubic volume back to what it had been before the pressure was applied (Xcubicacl expansivity of the material of the cude =alpha and the bulk modulus of elasticity is beta ) ["Hint": underset("original") underset("change in volume")overset(P)""V_(t)=V_(0)(1+alpha t )]

A liquid of bulk modulus k is compressed by applying an external pressure such that its density increases by 0.01%. The pressure applied on the liquid is

The pressure that has to be applied to the ends of a steel wire of length 10cm to keep its length constant when its temperature is raised by 100^@C is : (For steel Young's modulus is 2xx10^11 Nm^-2 and coefficient of thermal expansion is 1.1xx10^-5K^_1 )

NIKITA PUBLICATION-ELASTICITY-MCQ
  1. For which value of Poisson's ratio the volume of a wire does not chang...

    Text Solution

    |

  2. A metal wire of coefficient of linear expansion and Young modulus are...

    Text Solution

    |

  3. A cube at temperature 0^(@)C is compressed equally from all sides by a...

    Text Solution

    |

  4. A spring is made of material of Young's modulus 10^(11)N//m^(2). When ...

    Text Solution

    |

  5. If young's modulus of iron be 2xx10^(11) Nm^(-2) and interatomic di...

    Text Solution

    |

  6. The length of an elastic string is a metre when the longitudinal tens...

    Text Solution

    |

  7. A wire is of lengths l(1) and l(2) when stretched by a force 4 N and 5...

    Text Solution

    |

  8. The relationship between Young's modulus Y, Bulk modulus K and modulus...

    Text Solution

    |

  9. The relation between Young's modulus (Y) modulus of rigidity (eta) and...

    Text Solution

    |

  10. Bulk modulus of a material is 2.5xx10^(11)"dyne"//cm^(2) and Poisson's...

    Text Solution

    |

  11. For a given material, Young's modulus is 2.4 times that of rigidity mo...

    Text Solution

    |

  12. We spend some energy while stretching a wire. What happens to the ener...

    Text Solution

    |

  13. What happens to the potential energy of the molecules when a solid bod...

    Text Solution

    |

  14. When a wire is stretched the potential energy of its molecules will

    Text Solution

    |

  15. The work done per unit volume in stretching the wire is equal to

    Text Solution

    |

  16. The strain energy per unit volume of a stretched wire is

    Text Solution

    |

  17. The backlashes error can be elliminated in Searle's experiment, by rot...

    Text Solution

    |

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

    Text Solution

    |

  19. A wire (Y=1xx10^(11)N//m) has length 1m and area 1mm^(2). The work req...

    Text Solution

    |

  20. With the data of the above problem, the strain energy per unit volume ...

    Text Solution

    |