Home
Class 11
PHYSICS
A steel wire AB of length 100 cm is fixe...

A steel wire `AB` of length `100 cm` is fixed rigidly at points `A` and `B` in an aluminium frame as shown in the figure. If the temperature of the system increases through `100^(@)C`, then the excess stress produced in the steel wire relative to the aluminium?
`alpha_(Al) = 22 xx 10^(-6 //0) C` and `alpha_(steel) = 11 xx 10^(-6 //0) C`
young's Modulus of steel is `2 xx 10^(11) Nm^(-2)`.

A

`2.2 xx 10^(8)Pa`

B

`22 xx 10^(8)Pa`

C

`0.2 xx 10^(8)Pa`

D

`220 xx 10^(8)Pa`

Text Solution

Verified by Experts

The correct Answer is:
A
Net elongation `Deltal = (alpha_(Al) - alpha_(St))lDelta_(t)`
Stress = Y(Strain)
Promotional Banner

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise NCERT BASED QUESTIONS|25 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL-I(H.W.)|21 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (C.W.)|20 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

  • THERMODYNAMICS

    NARAYNA|Exercise Exercise|187 Videos

Similar Questions

Explore conceptually related problems

A steel wire AB of length 85cm at 10^(@)C is fixed rigidly at points A and B in an aluminium frame as shown. If the temperature of the system is raised to 110^(@)C , what extra stress will be produced in the wire relative to aluminium frame. Assume that coefficient of linear expansion for aluminium and steel are 23xx10^(-6)//^(@)C and 11xx10^(-6)//^(@)C respectively and Young's moduls for steel is 2xx10^(11) pa.

A fine steel wire of length 4 m is fixed rigidly in a heavy brass frame as ashown in figure . It is just taut at 20^(@)C . The tensile stress developed in steel wire it whole system is heated to 120^(@)C is :- ( Given alpha _("brass") = 1.8 xx 10^(-5) .^(@)C^(-1), alpha_("steel") = 1.2 xx 10^(-5) .^(@)C, Y_("steel") = 2 xx 10^(11) Nm^(-2), Y_("brass")= 1.7xx10^(7) Nm^(-2) )

What should be the length of steel and copper rods at 0^(@)C that the length of steel rod is 5 cm longer than copper at all termperature? Given alpha_(Cu) = 1.7 xx 10^(5) .^(@)C^(-1) and alpha_(steel) = 1.1 xx 10^(5) .^(@)C^(-1) .

Young 's modulus of steel is 2.0 xx 10^(11)N m//(2) . Express it is "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 rod is rigidly clamped at its two ends. The rod is under zero tension at 20^0C . If the temperature rises to 100^0 C , what force will the rod exert on one of the clapms? Area of cross section of the rod = 2.00 mm^2 . Coefficient of linerar expansion of steel = 12.0 xx 10^(-6) ^0 C^(-1) and Young's modulus of steel 2.00 xx 10^(11) N m^(-2) .

A steel wire of length 20 cm and unifrom crossection mm^(2) is tied rigidly at both the ends. If temperature of the wre is altered from 40^(@)C to 20^(@)C , calcutlate the change in tension. Given coeffeicient of linear expansion of steel is 1.1 xx 10^(-5) .^(@)C^(-1) and Young's modulus for steel is 2.0 xx 10^(11) Nm^(-2) .

An aluminium sphere of 20cm diameter is headed from 0^(@)C to 100^(@)c . Its volume changes by (given that the coefficient of linear expanison for aluminium (alpha_(Al) = 23 xx 10^(-6//0)C)

A steel wire of uniform cross-sectional area 2mm^(2) is heated upto 50^(@) and clamped rigidly at two ends . If the temperature of wire falls to 30^(@) then change in tension in the wire will be , if coefficient of linear expansion of steel is 1.1 xx 10^(-5)//"^(@)C and young's modulus of elasticity of steel is 2 xx 10^(11) N//m^(2)

NARAYNA-THERMAL PROPERTIES OF MATTER-LEVEL - III
  1. A wire of length L0 is supplied heat to raise its temperature by T. if...

    Text Solution

    |

  2. A uniform solid brass cylinder of mass M = 0.5 Kg and radius R = 0.03 ...

    Text Solution

    |

  3. Calculate the compressional force required to prevent the metallic rod...

    Text Solution

    |

  4. An iron rod of length 50cm is joined at an end to an aluminium rod of ...

    Text Solution

    |

  5. A rod of length 20 cm is made of metal. It expands by 0.075 cm when it...

    Text Solution

    |

  6. A thin circular metal disc of radius 500.0 mm is set rotating about a ...

    Text Solution

    |

  7. A steel wire AB of length 100 cm is fixed rigidly at points A and B in...

    Text Solution

    |

  8. An equilateral triangle ABC is formed by joining three rods of equal l...

    Text Solution

    |

  9. A cube of edge (L) and coefficient of linear expansion (alpha) is heat...

    Text Solution

    |

  10. An iron ball of diameter 6cm and is 0.01 mm too large to pass through ...

    Text Solution

    |

  11. A rod of length 2 m is at a temperature of 20^@ C. find the free expan...

    Text Solution

    |

  12. The coefficient of linear expansion for a certain metal varies with te...

    Text Solution

    |

  13. A steel teape is placed around the earth at the equator. When the temp...

    Text Solution

    |

  14. The variation of length of two metal rods A and B with change in tempe...

    Text Solution

    |

  15. The coefficient of linear expansion of an in homogeneous rod change li...

    Text Solution

    |

  16. A rod of steel is 5m long and 3cm diameter at a tempearatyre if 20^(@)...

    Text Solution

    |

  17. Two bars are untressed and have lengths of 25cm and 30cm at 20^(@)C as...

    Text Solution

    |

  18. A pendulum clock loses 12 s a day if be the temperature is 40^(@)C and...

    Text Solution

    |

  19. A simple pendulum made of bob of mass m and a metallic wire of neglig...

    Text Solution

    |

  20. A rod has been laid by using alternate rails of steel and aluminium ea...

    Text Solution

    |