Home
Class 11
PHYSICS
A steel rod of cross sectional area 4cm^...

A steel rod of cross sectional area `4cm^2 and `length 2m shrinks by 0.1 cm as the temperature decreases in night. If the rod is clamped at both ends during the day horus, find the tension developed in it during night hours. Young modulus of steel `=1.9xx10611` nm^-2`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D

`A=4cm^2=4x10^-4, L=2m`
`=/_\L=0.1cm=10^-3, Y=1.9xx10^11`
`Y=F/AxxL/(/_\L)`
`rarr F=(YA/_\L)/L`
`(1.9xx10^11xx4xx10^-4xx10^-3)/2`
`=3.8xx10^4N`
The tension developed is `3.8xx10^4N`
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

A steel wire of length 4 m and diameter 5 mm is stretched by kg-wt. Find the increase in its length if the Young's modulus of steel wire is 2.4 xx 10^(12) dyn e cm^(-2)

A steel wire of length 4 m and diameter 5 mm is strethed by 5 kg-wt. Find the increase in its length, if the Young's modulus of steel is 2xx10^(12) dyne cm^(2)

A steel wire of length 20 cm and uniform cross-sectional area of 1 mm^(2) is tied rigidly at both the ends at 45^(@)C . If the temperature of the wire is decreased to 20^(@)C , then the change in the tension of the wire will be [Y for steel = 2 xx 10^(11 Nm^(-2) , the coefficient of linear expansion for steel = 1.1 xx 10^(-5)//.^(@)CC^(-1) ]

A steel wire of length 2.0 m/s is stretched through 2.0 mm. The cross sectional area of the wire is 4.0 mm^2. Calculate the elastic potential energy stored in the wire in the stretched condition. Young modulus of steel =2.0x10^11Nm^-2

A unifrom steel rod of length 1m and area of cross-section 20 cm^(2) is hanging from a fixed support. Find the increases in the length of the rod.

Two Aluminium rods and a steel rod of equal cross-sectional area and equal length l_(0) are joined rigidly side by side as shown in figure. Initially the rods are at 0^(@)C . Find the length of the rod at the temperature theta if young's modulus of elasticity of the aluminium and steel are Y_(a) and Y_(s) respectively and coefficient of linear expansion of aluminum and steel are alpha_(a) and alpha_(s) respectively. |{:("Aluminium"),("Steel"),("Aluminium"):}|

A steel wire of length 3.0m is stretched through 3.0 mm. the cross-sectional area of the wire is 5.0mm^(2) . Calculate the elastic potential energy stroed in the wire in the stretched condition. Young's modulus of steel is 2.0 xx 10^(11) Nm^(-2) .

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 .

A uniform steel wire of cross-sectional area 0.20mm^(2) is held fixed by clamping its two ends. If wire is cooled from 100^(@)C to 0^(@)C , find (a) temperature strain (b) temperature stress (c) extra force exerted by each clamp on the wire. Young's modulus of steel =2xx10^(11)N//m^(2) , coefficient of linear expansion of steel =1.2xx10^(-5)//^(@)C .

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) ]

HC VERMA-SOME MECHANICAL PROPERTIES OF MATTER-Exercises
  1. The two wires shown in figure are made of the same material which has ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. A barometer is constructed with its tube having radius 1.0 mm. Assume ...

    Text Solution

    |

  17. A capillary tube of radius 0.50 mm is dipped vertically in a pot of wa...

    Text Solution

    |

  18. Find the surface energy of water kept in a cylindrical vessel of radiu...

    Text Solution

    |

  19. A drop of mercury of radius 2 mm is split into 8 identical droplets. F...

    Text Solution

    |

  20. A capillary tube of radius 1 mm is kept vertical with the lower end in...

    Text Solution

    |