Home
Class 12
PHYSICS
A rod of length / and radius r is held b...

 A rod of length / and radius r is held between two rigid walls so that it is not allowed to expand. If its temperature is increased, then the force developed in it is proportional to

A

l

B

`1/l`

C

`r^2`

D

`r^3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment(Section-B)|24 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment(Section-C)|28 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise EXERCISE|19 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    AAKASH INSTITUTE|Exercise SECTION - J|9 Videos

  • Mock test 03

    AAKASH INSTITUTE|Exercise EXAMPLE|37 Videos

Similar Questions

Explore conceptually related problems

A rod of length l and area of cross-section A is heated from 0^(@)C to 100^(@)C . The rod is so placed that it is not allowed to increase in length, then the force developed is proportional to

A metal rod of Young's modulas F and coefficient of thermal expansion alpha is held at its two ends such that its length remians invariant. If its temperature is raised by t^(@)c , then the linear stress developed in it is

A metal rod of Young's modules Y and coefficient of thermal expansion alpha is held at its two ends such that its length remains constant. If its temperature is raised by t^(@)C , the linear stress developed in it is

Two rods of equal cross sections area are joined end the end as shown in figure. These are supported between two rigid vertical walls. Initially the rods are unstrained . If temperature of system is increased by DeltaT then thermal stress developed in first rod-

Two rods of equal cross-sections, one of copper and the other of steel are joined to from a composite rod of length 2.0m at 20^(@)C the length of the copper rod is 0.5m . When the tempertuare is raised to 120^(@)C , the length of composite rod increases to 2.002m . If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is foundthat the length fo the component rod also do not change with increase in temperature. Calcualte the Young's modulus of steel. Given Young's modulus of copper = 1.3xx10^(11) N//m^(2) the coefficent of linear expansion of copper alpha_(C) = 1.6xx10^(-5)//.^(@)c

Two rods of equal cross sections, one of copper and the other of steel, are joined to form a composite rod of length 2.0 m at 20^@C , the length of the copper rod is 0.5 m. When the temperature is raised to 120^@C , the length of composite rod increases to 2.002m. If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is found that the lengths of the component rods also do not change with increase in temperature. Calculate Young's moulus of steel. (The coefficient of linear expansion of copper, alpha_c=1.6xx10^(-5@)C and Young's modulus of copper is 1.3xx10^(13)N//m^(2) ).

Two balls, each of radius R, equal mass and density are placed in contact, then the force of gravitation between them is proportional to

An iron bar of length L . Cross section A and Young's modulus Y is heated from o^(o)C to 100^(0)C . If this bar is held so that it is not permitted to bend and to expand, the force F that is develop, is proportional to

AAKASH INSTITUTE-MECHANICAL PROPERTIES OF SOLIDS-Assignment(Section-A)
  1. The length of wire, when M(1) is hung from it, is l(1) and is l(2) wit...

    Text Solution

    |

  2. When a load of 10 kg is suspended on a metallic wire, its length incre...

    Text Solution

    |

  3. A rod of length / and radius r is held between two rigid walls so that...

    Text Solution

    |

  4. If the temperature of a wire of length 2 m and area of cross-section 1...

    Text Solution

    |

  5. The energy stored per unit volume of a strained wire is

    Text Solution

    |

  6. A wire suspended vertically from one of the its ends is stretched by a...

    Text Solution

    |

  7. Work done by restoring force in a string within elastic limit is -10 J...

    Text Solution

    |

  8. The work done per unit volume to stretch the length of area of cross-s...

    Text Solution

    |

  9. Which of the following affects the elasticity of a substance

    Text Solution

    |

  10. Select the wrong definition

    Text Solution

    |

  11. Figure shows graph between stress and strain for a uniform wire at wo ...

    Text Solution

    |

  12. Two different types of rubber are found to have the stress-strain curv...

    Text Solution

    |

  13. The ratio of adiabatic to isothermal elasticity of a diatomic gas is

    Text Solution

    |

  14. A uniform cube is subjected to volume compression. If each side is dec...

    Text Solution

    |

  15. When a rubber ball is taken to the bottom of a sea o depth 1400 m ts v...

    Text Solution

    |

  16. A spherical ball contracts in volume by 0.02%, when subjected to a nor...

    Text Solution

    |

  17. A steel plate of face area 4 cm^2 and thickness 0.5 cm is fixed rigidl...

    Text Solution

    |

  18. The poisson's ratio cannot have the value

    Text Solution

    |

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

    Text Solution

    |

  20. When a uniform metallic wire is stretched the lateral strain produced ...

    Text Solution

    |