Home
Class 11
PHYSICS
A Copper wire of length 2.2m and a steel...

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)`.

Text Solution

AI Generated Solution

To solve the problem step by step, we need to calculate the load applied to the copper and steel wires connected end to end. ### Step 1: Gather Given Data - Length of copper wire, \( L_C = 2.2 \, \text{m} \) - Length of steel wire, \( L_S = 1.6 \, \text{m} \) - Diameter of both wires, \( d = 3.0 \, \text{mm} = 3.0 \times 10^{-3} \, \text{m} \) - Radius of the wires, \( r = \frac{d}{2} = 1.5 \, \text{mm} = 1.5 \times 10^{-3} \, \text{m} \) - Young's modulus for copper, \( Y_C = 1.1 \times 10^{11} \, \text{N/m}^2 \) ...
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT ENGLISH|Exercise EXERCISE|21 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NCERT ENGLISH|Exercise EXERCISE|31 Videos
  • MOTION IN A PLANE

    NCERT ENGLISH|Exercise EXERCISE|32 Videos

Similar Questions

Explore conceptually related problems

A copper wire of length 2.4 m and a steel wire of length 1.6 m, both of diameter 3 mm, are connected end to end. When stretched by a load, the net elongation found to be 0.7 mm. The load appled is (Y_("Copper") = 1.2 xx 10^(11) N m^(-2) , Y_("steel") = 2 xx 10^(11) N m^(-2))

Calculate the Poisson's ratio for steel. Given that Young's modulus is 2 xx 10^(11) Nm^(-2) and rigidity modulus is 8 xx 10^(10) Nm^(-2) .

A composite wire of uniform diameter 3mm consisting of copper wire of length 2.2 m and a steel wire of length 1. 6m stretches under a load by 0.7mm. Calcualte the load, given that the Young's modulus of copper is 1.1 xx 10^(11) Pa and for steel is 2.0 xx 10^(11) Pa .

A steel wire and copper wire of the same diameter and of length 1m and 2m respectively are connected end to end and a force is applied. The increase in length of the combination is 0.01m.Calculate the elongation produced in the individual wires. Given that Y of copper is 12 xx 10^(10) Nm^(2) and that of steel is 20 xx 10^(10) N m^(-2) .

Young 's modulus of steel is 2.0 xx 10^(11)N m//(2) . Express it is "dyne"/cm^(2) .

Find the maximum energy per unit volume that can be stored in a metal wire when stretched, if its breaking stress is 1.3 xx 10^(8) Nm^(-2) and Young's modulus of the material is 2.2 xx 10^(11) Nm^(-2) .

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 =1.1xx10^11Nm^-2

A Copper wire and steel of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have

A Copper wire and steel of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have

A copper wire (Y=10^(11) Nm^(-2)) of length 8 m and a steel wire (Y=2xx10^(11) Nm^(-2)) of length 4 m, each of 0.5 cm^(2) cross-section are fastened end to end and stretched with a tension of 500 N. choose the correct option.

NCERT ENGLISH-MECHANICAL PROPERTIES OF SOLIDS-EXERCISE
  1. A Copper wire of length 2.2m and a steel wire of length 1.6m, both of ...

    Text Solution

    |

  2. A steel wire of length 4.7 m and cross-sectional area 3 xx 10^(-6) m^(...

    Text Solution

    |

  3. Fig., shows the stress-strain curve for a given materal. What are (a) ...

    Text Solution

    |

  4. The stress versus strain graph for two materials A and B are shown in ...

    Text Solution

    |

  5. Read each of the statement below carefully and state, with reasons, if...

    Text Solution

    |

  6. Two wires of diameter 0.25 cm, one made of steel and the other made of...

    Text Solution

    |

  7. The edges of an aluminum cube are 10 cm long. One face of the cube is ...

    Text Solution

    |

  8. Four identical hollow cylindrical columns, support a ig structure of ...

    Text Solution

    |

  9. A piece of copper having a rectangular cross section of 15.2 xx 19.1 m...

    Text Solution

    |

  10. A steel cable with a radius of 1.5 cm support a chairlift at a ski are...

    Text Solution

    |

  11. A rigid bar of mass 15 kg is supported symmetrically by three wires ea...

    Text Solution

    |

  12. A 14.5 kg mass, fastened to the end of a steel wire of unstretched len...

    Text Solution

    |

  13. Compute the bulk modulus of water from the following data : initial vo...

    Text Solution

    |

  14. What is the density of ocean water at a depth, where the pressure is 8...

    Text Solution

    |

  15. Compute the fractional change in volume of a glass slab, when subjecte...

    Text Solution

    |

  16. Determine the volume contraction of a solid copper cube, 10 cm on an e...

    Text Solution

    |

  17. How much should the pressure on a litre of water be changed to compres...

    Text Solution

    |

  18. Anvils made of single crystal of diamond , with shape as shown in fig....

    Text Solution

    |

  19. A rod of length 1.05 m having negliaible mass is supported at its ends...

    Text Solution

    |

  20. A mild steel wire of length 1.0 m and cross-sectional are 0.5 xx 10^(-...

    Text Solution

    |

  21. Two strips of metal are riveted together at their ends by four rivets,...

    Text Solution

    |