Home
Class 11
PHYSICS
Two wires of equal cross section but one...

Two wires of equal cross section but one made of steel and the other of copper, are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. Find the ratio of the lengths of the two wires. Young modulus of steel `=2.0xx10^11Nm^-2` and that of copper `=1.1xx10^1Nm^-2`

Promotional Banner

Topper's Solved these Questions

  • Mechanical Properties of Solids

    SL ARORA|Exercise Example|113 Videos
  • Mechanical Properties of fluids

    SL ARORA|Exercise Exercise|459 Videos
  • MECHANICS

    SL ARORA|Exercise Exercise|341 Videos

Similar Questions

Explore conceptually related problems

Two wires of equal cross-section but one made of steel and the other of copper are joined end to end. When the cobination is kept under tension, the elongations in the two wires are found to be equal elongations in the two wire are found to be equal. What is the ratio of the lengths of the two wires? (Given, Young's modulus of steel = 2 xx 10^(11) Nm^(-2) and young's modulus of copper = 1.1 xx 10^(11) Nm^(-2) )

A steel wire and a copper wire of equal length and equal cross sectionasl area area joined end to end and the combination is subjected to as tension. Find the ratio of as. The stresses developed in the two wire and b. the strains developed. Y of steel =2xx10^11Nm^-2 . Y o copper =1.3xx10 11 Nm^-2 .

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in figure. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires .Young's modulus of steel is 2.0 xx 10^(11) Pa and that of brass is 9.1 xx 10^(11) Pa.

One end of a wire 2m long and 0.2 cm^2 in cross section is fixed in a ceilign and a load of 4.8 kg is attached to the free end. Find the extension of the wire. Young modulus of steel =2.0xx10^11Nm^-2 . Take g=10ms^-2 .

In figure the upper wire is made of steel and the lower of copper. The wires have equal cross section. Find the ratio of the longitudinals strains developed in the two wires.

A steel wire and a copper wire of equal length and equal cross- sectional area are joined end to end and the combination is subjected to a tension. Find the ratio of copper/steel (a) the stresses developed . In the two wires, (b) the strains developed. (Y of steel = 2xx10^(11) N//m^(2) )

A Copper wire of length 2.2m and a steel wire of length 1.6m, both of diameter 3.0mm are connected end to end. When stretched by a load, the net elongation is found to be 0.70 mm. Obtain the load applied . Young's modulus of copper is 1.1 xx 10^(11)Nm^(-2) and Young's modulus of steel is 2.0 xx 10^(11)Nm^(-2) .

A light rod AC of length 2.00 m is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross-section 10^(-3) m^(2) and the other is of brass of cross-section 2xx10^(-3) m^(2) . The position of point D from end A along the rod at which a weight may be hung to produce equal stress in both the wires is [Young's modulus of steel is 2xx10^(11) Nm^(2) and for brass is 1xx10^(11) Nm^(-2) ]

Two wire of same radius and lengh the are subjected to the same load. One wire is of steel and the other is of copper. If the Young's modulus of steel is twice that of copper, the ratio the energy stored per unit volume in steel to that of copper wire is

SL ARORA-Mechanical Properties of Solids-Example
  1. Two wires of equal cross section but one made of steel and the other o...

    Text Solution

    |

  2. The length of a suspended loire increases by 10^-4 of its original len...

    Text Solution

    |

  3. A uniform wire of steel of length 2.5m and density 8.0gcm^(-3) weighs ...

    Text Solution

    |

  4. A structural steel rod has a radius of 10 mm and a length of 1.0 m. A ...

    Text Solution

    |

  5. A structural steel rod has a radius of 10 mm and a length of 1.0 m. A ...

    Text Solution

    |

  6. A structural steel rod has a radius of 10 mm and a length of 1.0 m. A ...

    Text Solution

    |

  7. What is the percentage increase in length of a wire of diameter 2.5 mm...

    Text Solution

    |

  8. The breaking stress for a metal is 7.8 xx 10^9 Nm^-2. Calculate the ma...

    Text Solution

    |

  9. A rubber string 10m long is suspended from a rigid support at its one ...

    Text Solution

    |

  10. A silica glass rod has a diameter of1cmand is 10 cmlong. The ultimate ...

    Text Solution

    |

  11. A composite wire of uniform diameter 3.0 mm consisting of a copper wir...

    Text Solution

    |

  12. The maximum stress that can be applied to the material of a wire used ...

    Text Solution

    |

  13. A mass of 100 grams is attached to the end of a rubber string 49 cm. l...

    Text Solution

    |

  14. A uniform heavy rod of weight W, cross sectional area a and length L i...

    Text Solution

    |

  15. A steel wire of uniform cross-section 1 mm^(2) is heated to 70^(@)C an...

    Text Solution

    |

  16. The presssure of a medium is changed from 1.01xx10^(5) Pa to 1.165xx...

    Text Solution

    |

  17. The average depth of indian Ocean is about 3000 m. The fractional comp...

    Text Solution

    |

  18. A sphere contracts in volume by 0.01% when taken to the bottom of sea ...

    Text Solution

    |

  19. If the normal density of sea water is 1.00 g//cm^(3), what will be its...

    Text Solution

    |

  20. A cube is subjected to pressure of 5 xx 10^(5)N//m^(2). Each side of t...

    Text Solution

    |

  21. Calculate the presure required to stop the increases in volume of a co...

    Text Solution

    |