Home
Class 11
PHYSICS
An alumminium rod and steel wire of same...

An alumminium rod and steel wire of same length and cross-section are attached end to end. Then compound wire is hung fron a rigid support and load is suspended from the free end. Y for steel is `((20)/(7))` times of aluminium. The ratio of increase in length of steel wire to the aluminium wire is

A

`20//7`

B

`400//9`

C

`7//20`

D

`49//400`

Text Solution

Verified by Experts

The correct Answer is:
C
`e = (FL)/(AY), Y_(s) e_(s) = Y_(Al) e_(Al)`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-III|29 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise NCERT BASED QUESTIONS|21 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

An aluminum wire and a steel wire of the same length and cross-section are joined end to end. The compoiste wire is hung from a rigid support and a load is suspended from the free end. If the length of the composite wire is 2.7mm then the increases in the length of wire is (in mm ) (Y_(Al) = 2xx10^(11)Nm^(2), Y_("Steel") = 7xx10^(11) Nm^(-2))

An aluminium wire and a steel wire of the same length and cross section are joined end to end. The composite wire is hung from a rigid support and the load is suspended at the free end. If Y_(AL) = 7xx10^(10) N//m^(2) and Y_("steel") = 7xx10^(11) N//m^(2) , the ratio of elongation of aluminium and steel wires is

A copper wire and a steel wire of same length and same cross-section are joined end to end. The compositive wire is hung from a rigid support and a load is suspended form the free end. The increase in length of the compositive wire is 4 mm. The increase in copper wire will be (Y_(copper)=1.2xx10^(11)N//m^(2),Y_(steel)=2xx10^(11)N//m^(2))

A copper wire and a steel wire of the same length and same cross-section are joined end to end to form a composite wire. The composite wire is hung form a rigid support and a load is suspended form the other end. If the increses in length of the composite wire is 2.4mm . then the increases in lenghts of steel and copper wires are

An Aluminum and Copper wire of same cross sectional area but having lengths in the ratio 2:3 are joined end to end. This composite wire is hung form a rigid support and a load is suspended form the free end. If the increases in length of the composite wire is 2.1mm the increses in lenghts of Aluminimum and Copper wirs are

A metal wire of length L_1 and area of cross-section A is attached to a rigid support. Another metal wire of length L_2 and of the same cross-sectional area is attached to free end of the first wire. A body of mass M is then suspended from the free end of the second wire. If Y_1 and Y_2 are the Young's moduli of the wires respectively, the effective force constant of the system of two wire is

A steel wire 2 m long is suspended from the ceiling. When a mass is hung from its lower end, the increase in length recorded is 1 cm . Determine the strain in the wire.

NARAYNA-MECHANICAL PROPERTIES OF SOLIDS-LEVEL-II (C.W)
  1. Four identical hollow cylindrical cloumns of steel support a big struc...

    Text Solution

    |

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

    Text Solution

    |

  3. An alumminium rod and steel wire of same length and cross-section are ...

    Text Solution

    |

  4. What percent of length of a wire will increses by applying a stress f...

    Text Solution

    |

  5. A lift is tied with thick iron wire and its mass is 1000kg. If the max...

    Text Solution

    |

  6. Two wires are made of the same material and have the same volume. Howe...

    Text Solution

    |

  7. An aluminum wire and a steel wire of the same length and cross-section...

    Text Solution

    |

  8. Two wires are arranged as shown in the figure. The elongation in upper...

    Text Solution

    |

  9. Calculate the force 'F' needed to punch a 1.46cm diameter hole in a s...

    Text Solution

    |

  10. A block of weight 15N slides on a horizontal table the co-efficient o...

    Text Solution

    |

  11. Two equal and opposite forces F and -F act on a rod of unifrom cross-s...

    Text Solution

    |

  12. A cubical ball is taken to a depth in volume observed to be 0.1% the ...

    Text Solution

    |

  13. Compressibility of water is 5xx10^(-10)m^(2)//N. Find the decrease in ...

    Text Solution

    |

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

    Text Solution

    |

  15. A steel wire of mass 3.16kg is streached to a tensite strain of 1xx...

    Text Solution

    |

  16. A brass wire of cross-sectional area 2mm^(2) is suspended from a rigid...

    Text Solution

    |

  17. The young's modulus of the material of a rod is 20xx10^(10) pascal. Wh...

    Text Solution

    |

  18. Two blocks of masses 1 kg and 2 kg are connected by a metal wire going...

    Text Solution

    |

  19. A copper wire of cross sectional asrea 0.01 cm is under a tension of 2...

    Text Solution

    |

  20. An Aluminum and Copper wire of same cross sectional area but having ...

    Text Solution

    |