Home
Class 11
PHYSICS
The elastic limit of stees is 8xx10^8Nm^...

The elastic limit of stees is `8xx10^8Nm^-2` andits Young modulus `2x10^11Nm^-2`. Find the maximum eleongatin of a half metre steel wire that can be given without exceeding the elastic limit.

Text Solution

Verified by Experts

The correct Answer is:
B
Elastic unit `=8xx10^5N/m^2`
`Y=2xx10^11N/m^2`
`L-1/2m=0.5m`
`Y=F/A L/(/_\L)`
`rarr /_\L=(FL)/(AY)`
`rarr /_\L=(8xx10^5xx)0.5)0/(2xx10^11)`
`=2xx10^-3m=2cm`
Promotional Banner

Topper's Solved these Questions

  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA|Exercise Objective 2|7 Videos

  • SIMPLE HARMONIC MOTION

    HC VERMA|Exercise Exercises|58 Videos

  • SOUND WAVES

    HC VERMA|Exercise Exercises|89 Videos

Similar Questions

Explore conceptually related problems

The elastic limit of a steel cable is 3.0xx10^(8) N//m^(2) and the cross-section area is 4 cm^(2) . Find the maximum upward acceleration that can be given to a 900 kg elevator supported by the cable if the stress is not to exceed one - third of the elastic limit.

The stress for elastic limit of a material is 3.5times10^(8)N/m^(2) .The minimum diameter of a rod made of this material which can support 500N load without exceeding elastic limit will be

[" The stress for elastic limit of a "],[" material is "3.5times10^(8)N/m^(2)" .The "],[" minimum diameter of a rod made of "],[" this material which can support "500N],[" load without exceeding elastic limit "],[" will be "]

A steel wire with cross-section 3 cm^2 has elastic limit 2.4 xx 10^8 N m^-2 . The maximum upward accele­ration that can be given to a 1200 kg elevator supported by this cable if the stress is not to exceed one-third of the elastic limit (take g =10m/ s^2 ) is

Calculate the work done in stretching a steel wire of Young's modulus of 2 xx 10^(11) Nm^(-2) , mass of 40 kg, length of 200 cm and area of cross-section is 0.06 cm^(2)~ slowly applied without the elastic limit being reached.

The elastic limit of an elevator cable is 2xx10^(9) N//m^(2) . The maximum upward acceleration that an elevator of amss 2xx10^(3)kg can have been supported by a cable would not exceed half of the elastic limit would be

Calculate the work done in streching a steel wire of Young's modulus of 2xx10^(11) Nm^(-2) ,length of 200 cm and area of cross-section is 0.06 cm^(2) slowly applied without the elastic limit being reached.

A steel wire of 4.0 m is stretched through 2.0 mm. The cross - sectional area of the wire is 2.0 mm^2. If young's modulus of steel is 2.0 xx10^(11) Nm^(-2) find (i) the energy density of the wire, (ii) the elastic potential energy stored in the wire.

The elastic limit and ultimate strength for steel is 2.48 xx 10^(8) Pa and 4.89 xx 10^(8) Pa respectively. A steel wire of 10 m length and 2 mm cross sectional diameter is subjected to longitudinal tensile stress. Young’s modulus of steel is Y = 2 xx 10^(11) Pa (a) Calculate the maximum elongation that can be produced in the wire without permanently deforming it. How much force is needed to produce this extension? (b) Calculate the maximum stretching force that can be applied without breaking the wire.

HC VERMA-SOME MECHANICAL PROPERTIES OF MATTER-Exercises
  1. A load of 10 kg is suspended by a metal wire 3 m long and having a cro...

    Text Solution

    |

  2. A vertical metal cylinder of radius 2 cm and length 2 m is fixed art t...

    Text Solution

    |

  3. The elastic limit of stees is 8xx10^8Nm^-2 andits Young modulus 2x10^1...

    Text Solution

    |

  4. A steel wire and a copper wire of equal length and equal cross section...

    Text Solution

    |

  5. In figure the upper wire is made of steel and the lower of copper. The...

    Text Solution

    |

  6. The two wires shown in figure are made of the same material which has ...

    Text Solution

    |

  7. Two person pull a rope towards themselves. Each person exerts a force ...

    Text Solution

    |

  8. A steel rod of cross sectional area 4cm^2 and length 2m shrinks by 0.1...

    Text Solution

    |

  9. Consider the situation shown in figure. The force F is equalk to the m...

    Text Solution

    |

  10. A sphere of mass 20 kg is suspended by a metal wire of unstretched le...

    Text Solution

    |

  11. A steel wire of original length 1 m and cross-sectional area 4.00 mm^2...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the increase in pressure required to decrease the volume of a wat...

    Text Solution

    |

  14. Calculate the apprroximate change in density of water in a lake at a d...

    Text Solution

    |

  15. A steel plate of face area 4 cm2 and thickness 0.5 cm is fixed rigidly...

    Text Solution

    |

  16. A 5.0 cm long straight piece of thread is kept on the surface of water...

    Text Solution

    |

  17. Find the excess pressure inside (a) a drop of mercury of radius 2 mm (...

    Text Solution

    |

  18. Consider a small surface area of 1 mm2 at the top of a mercury drop of...

    Text Solution

    |

  19. The capillaries shown in figure (14-E4) have inner radii 0.5 mm, 1.0 m...

    Text Solution

    |

  20. The lower end of a capillary tube is immersed in mercury. The level of...

    Text Solution

    |