Home
Class 12
PHYSICS
A uniform metal rod of 2mm^(2) area of c...

A uniform metal rod of `2mm^(2)` area of cross section is heated from `0^(@)C` to `20^(@)C`. The coefficient of linear expansion of the rod is `12xx10^(-6)//""^(@)C`. Its Young's modulus of elasticity is `10^(11)N//m^(2)`, then the energy stored per unit volume of rod is,

A

`1440 Jm^(-3)`

B

`15750 Jm^(-3)`

C

`1500 Jm^(-3)`

D

`2880 Jm^(-3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment(Section-D)|12 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment(Section-B)|24 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    AAKASH INSTITUTE|Exercise SECTION - J|9 Videos
  • Mock test 03

    AAKASH INSTITUTE|Exercise EXAMPLE|37 Videos

Similar Questions

Explore conceptually related problems

A uniform metal rod fixed at its ends of 2 mm^(2) cross-section is cooled from 40@^C to 20^@C . The coefficient of the linear expansion of the rod is 12xx10^(-6) per degree celsius and its young's modulus of elasticity is 10^11 N//m^(2). The energy stored per unit volume of the rod is

A uniform rod of cross-section 4 mm^(2) is heated from 0^(@)C " to "10^(@)C. The coefficient of linear expansion of the rod, prop=12xx10^(-6)//^(@)C and Young's modulus =10^(11)N//m^(2). The strain produced in the rod is

The coefficient of linear expansion of a metal rod is 12 xx 10^(-6//0)C , its value in per ^(0)F

A rod is fixed between two points at 20^(@)C . The coefficient of linear expansion of material of rod is 1.1 xx 10^(-5)//.^(C and Young's modulus is 1.2 xx 10^(11) N//m . Find the stress develop in the rod if temperature of rod becomes 10^(@)C

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 uniform copper rod of length 50 cm and diameter 3.0 mm is kept on a frictionless horizontal surface at 20^(@)C . The coefficient of linear expansion of copper is 2.0 xx 10^(-5) K^(-1) and Young's modulus is 1.2 xx 10^(11) N//m^(2) . The copper rod is heated to 100^(@)C , then the tension developed in the copper rod is

On heating the metal rod of length 2m from 0°C to 50°C , its length is increased by 0.1 cm. the coeffecient of linear expansion of metal rod is

A metal rod of cross-sectional area 10^(-4)m^2 is hanging in a chamber kept at 20^@C with a weight attached to its free end. The coefficient of thermal expansion of the rod is 2.5xx10^(-6)K^(-1) and its Young's modulus is 4xx10^(12)N//m^2 . When the temperarure of the chamber is lowered to T then a weight of 5000 N needs to be attached to the rod so that its length is unchanged. Then T is

Young's modulus of material of the rod is 24 times 10^(10)Pa When the longitudinal strain is 0.01% then energy stored per unit volume of the rod is

AAKASH INSTITUTE-MECHANICAL PROPERTIES OF SOLIDS-Assignment(Section-C)
  1. Which of the following relations is true?

    Text Solution

    |

  2. A 5 m long aluminium wire (Y=7xx10^10(N)/(m^2)) of diameter 3 mm suppr...

    Text Solution

    |

  3. Two steel wires of the same radius have their lengths in the ratio of ...

    Text Solution

    |

  4. A steal wire of cross-section area 3xx10^(-6) m^(2) can withstand a m...

    Text Solution

    |

  5. The bulk modulus for an incompresssible liquid is

    Text Solution

    |

  6. A copper rod length L and radius r is suspended from the ceiling by on...

    Text Solution

    |

  7. Which of the folliwing substances has the highest elastictiy

    Text Solution

    |

  8. When a wire of length 10 m is subjected to a force of 100 N along its ...

    Text Solution

    |

  9. Two wire A and B of length l, radius r and length 2l, radius 2r having...

    Text Solution

    |

  10. A cube of side 40 cm has its upper face displaced by 0.1 mm by a tange...

    Text Solution

    |

  11. A rod of length l and radius r is joined to a rod of length l//2 and r...

    Text Solution

    |

  12. The Young's modulus of the meterial of a wire is 2xx10^(10) N m^(-2) I...

    Text Solution

    |

  13. A weight is suspended from a long metal wire. If the wire suddenly bre...

    Text Solution

    |

  14. A wire of natural length l, young's modulus Y and ares of cross-sectio...

    Text Solution

    |

  15. When a force is applied on a wire of uniform cross-sectional area 3xx1...

    Text Solution

    |

  16. If in a wire of Young's moduls Y, longitudinal strain X is produced th...

    Text Solution

    |

  17. A uniform metal rod of 2mm^(2) area of cross section is heated from 0^...

    Text Solution

    |

  18. A material has Poisson's ratio 0.5, If a uniform rod of it suffers a ...

    Text Solution

    |

  19. When the length of a wire is increased by 5%, its radius decreases by ...

    Text Solution

    |

  20. If Young's modulus of elasticity Y for a material is one and half time...

    Text Solution

    |