Home
Class 11
PHYSICS
A copper wire 2m long is stretched by 1m...

A copper wire `2m` long is stretched by `1mm`. If the energy strored in the stretched wire is converted into heat, then calculate the rise in temperature of the wire.

Text Solution

Verified by Experts

`m s Delta t = (1)/(2) Y ("strain")^(2) xx (m)/(p)`
`Delta t = (1)/(2) xx (Y)/(s rho) xx ((e)/(l))^(2)`
`Delta t = (1)/(2) xx (12.5xx10^(10))/(9xx10^(3)xx385) xx [(1)/(1000xx2)]^(2) = 0.0045^(@)C`
So the rise in tempertuare of the wire is `0.0045^(@)C`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise C.U.Q|74 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-I (C.W)|37 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - III|30 Videos
  • MOTION IN A PLANE

    NARAYNA|Exercise Level-II(H.W)|31 Videos

Similar Questions

Explore conceptually related problems

A copper rod 2m long is stretched by 1mm. Strain will be -

A wire is stretched under a force. If the wire suddenly snaps, the temperature of the wire

Elastic Potential Energy Stored In A Stretched Wire

The elastic potential energy of a stretched wire is given by

If a wire is stretched to its length, then

A wire of length 5 m is stretched by 1 mm by a force of 1 N. The value of energy (in mJ) stored in the wire is

The strain energy per unit volume of a stretched wire is

(a) A wire 4 m long and 0.3mm in diameter is stretched by a force of 100 N. If extension in the wire is 0.3 mm, calculate the potential energy stored in the wire. (b) Find the work done is stretching a wire of cross-section 1mm^(2) and length 2 m through 0.1 mm. Young's modulus for the material of wire is 2.0xx10^(11) Nm^(-2) .

A copper wire is stretched so as to increase its length by 0.2%. Calculate the percentage change in the resistance of the wire.

NARAYNA-MECHANICAL PROPERTIES OF SOLIDS-LEVEL-II (H.W)
  1. A copper wire 2m long is stretched by 1mm. If the energy strored in th...

    Text Solution

    |

  2. One end of uniform wire of length L and of weight W is attached rigidl...

    Text Solution

    |

  3. A 20kg load is suspended from the lower end of a wire 10cm long and 1...

    Text Solution

    |

  4. A Steel wire is 1m long and 1mm^(2) in area of cross-section. If it ta...

    Text Solution

    |

  5. A wire of length 1 m and radius 1mm is subjected to a load. The extens...

    Text Solution

    |

  6. A stress of 10^(6) N//m^(2) is required for breaking a material. If t...

    Text Solution

    |

  7. A wire can be broken by 400kg.wt. The load required to break the wi...

    Text Solution

    |

  8. A copper wire and an aluminium wire has lenghts in the ratio 3:2 di...

    Text Solution

    |

  9. There are two wires of same material. Their radii and lengths are bot...

    Text Solution

    |

  10. Two rods of different materials having coefficient of thermal expansio...

    Text Solution

    |

  11. A piece of copper wire has twice the radius of a piece of steel wire....

    Text Solution

    |

  12. A tangential force of 2100N is applied on a surface area 3xx10^(-6) m^...

    Text Solution

    |

  13. A uniform pressure P is exerted by an external agent on all sides of a...

    Text Solution

    |

  14. A solid sphere of radius R made of a material of bulk modulus K is sur...

    Text Solution

    |

  15. Find the change in density of water in occean at depth of 700m below...

    Text Solution

    |

  16. When a rubber ball of volume v, bulk modulus K is at a depth h in wat...

    Text Solution

    |

  17. A fractinal change in volume of oil is i percent . When a pressure f 2...

    Text Solution

    |

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

    Text Solution

    |

  19. The posisson's ratio of material is 0.4. If a force is applied to a wi...

    Text Solution

    |

  20. A wire having a length L and cross- sectional area A is suspended at o...

    Text Solution

    |

  21. Two wires of same material and same diameter have lenghts in the rati...

    Text Solution

    |