Home
Class 11
PHYSICS
A tungsten wire, 0.5mm in diameter, is j...

A tungsten wire, `0.5mm` in diameter, is just strechted between two fixed points at a temperture of `40^(@)C`. Determine the tension in the wire when the temperature falls to `20^(@)C`. (coefficant of linear expansion of tungsten `= 4.5xx10^(-6)//.^(0)C,` Young's modulus of tungsten `= 3.4xx10^(10) Nm^(-2))`

A

`0.609N`

B

`3.097N`

C

`5.097N`

D

`7.094N`

Text Solution

Verified by Experts

The correct Answer is:
A

`T = Y alpha Delta theta pi r^(2)`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise MUTI CORRECT ANSWER TYPE|4 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

A steel wire 2mm in diameteris ust streched between two dixed point at a temperature of 20^(@)C . Determine its tension when its temperature falls to 10^(@)C . Linear expansivity of steel =11 xx 10^(-6)//K, Young modulus =2 xx 10^(11)//m^(-2)

A wire of cross sectional area 3mm^(2) is just stretched between two fixed points at a temperature of 20^(@) . Determine the tension when the temperature falls to 20^(@) C . Coefficient of linear of expansion alpha = 10^(-5)//"^(@)C and Y = 2 xx 10^(11)N//m^(2) .

A wire of cross-sectional area 3 mm^(2) is first stretched between two fixed points at a temperature of 20^(@)C . Determine the tension when the temperature falls to 10^(@)C Coefficient of linear expansion alpha=10^(-5).^(@)C^(-1) and Y =2 xx10^(11) N//m^(2)

A steel wire 2 mm in diameter is just stretched between two fixed points at a temperature of 20^(@)C. If the temperature falls to 10^(@)C, then the tension in the wire is (The coefficient of linear expansion of steel = 11xx10^(-6)//^(@)C and Y for steel 2.1 xx10^(11)N//m^(2))

A wire of cross sectional area 3 mm^(2) is just stretched between two fixed points at a temperature of 20^(@)C . Then the tension in the wire when the temperature falls to 10^(@)C is, (alpha =1.2 xx 10^(-5) //""^(@)C, Y=2xx10^(11) N//m^(2))

A steel wire 2mm in diameter is stretched between two clamps, when its temperature is 40^@C Calculate the tension in the wire, when its temperature falls to 30^@C Given, coefficient Y for steel = 21 xx 10^(11) dyn e//cm^2

A steel wire 2 mm is diameter is just stretched between two fixed points at a temperature of 20^(@)C . If the temperature falls to 10^(@)C , then the tension in the wire is (Coefficient of linear expansion of steel (alpha) is 11xx10^(-6)//""^(@)C and Y_(s)=2.1xx10^(11)N//m^(2) )

A stell wire of cross-sectional area 0.5mm^2 is held between teo fixed supports. If the wire is just taut at 20^C , determine the tension when the temperature falls to 0^C . Coefficient of linear expansion of steel is 1.2 xx 10^(-5) 0^C(-1) and its Young's modulus is 2.0 xx 10^11 N m^(-2).

A brass wire 1.8 m long at 27^(@)C is held taut with little tension between two rigid supports. If the wire cooled to a temperature of -39^(@)C , what is the tension developed in the wire, if its diameter is 2.0 mm ? Coefficient of linear expansion of brass = 2.0 xx 10^(-5)//^(@)C , Young's modulus of brass = 0.91 xx 10^(11) Pa .

NARAYNA-MECHANICAL PROPERTIES OF SOLIDS-LEVEL-I (H.W)
  1. Two wires of the same material have masses in the ratio of their ext...

    Text Solution

    |

  2. Two rods of different materials are clamped at their ends rigidy....

    Text Solution

    |

  3. A tungsten wire, 0.5mm in diameter, is just strechted between two fi...

    Text Solution

    |

  4. A unifrom steel rod of length 1m and area of cross-section 20 cm^(2) ...

    Text Solution

    |

  5. A rope 1 cm in diameter breaks if the tension in it exceeds 500 N. The...

    Text Solution

    |

  6. A cabe breaks if strethced by more than 2mm. It is cut into two equa...

    Text Solution

    |

  7. A metal cube of side 10 cm is subjected to a shearing stress of 10^(6)...

    Text Solution

    |

  8. The upper end of a wire of radius 4mm and lengh 100cm is clamped and...

    Text Solution

    |

  9. A thin cylindrical rod of length 2.5m and radius 5mm is firmly fixed...

    Text Solution

    |

  10. A spherical ball of volume 1000 cm^(3) is subjected to a pressure o...

    Text Solution

    |

  11. On taking a solid rubber ball from the surface to the bottom of a...

    Text Solution

    |

  12. Estimate the change in the density of water in ocean at a depth fo 50...

    Text Solution

    |

  13. A material has Poisson's ratio 0.3, If a uniform rod of it suffers a ...

    Text Solution

    |

  14. A metal rod fo Young's modulus 2xx10^(10) Nm^(2) undergoes an elasti...

    Text Solution

    |

  15. A wire suspended vertically from one of itsends is strached by attache...

    Text Solution

    |

  16. Two wire of same radius and lengh the are subjected to the same load....

    Text Solution

    |

  17. The potential energy of a spring when stretched by 2cm is U if the spr...

    Text Solution

    |

  18. If bulk modulus of the metal is 2xx10^(12)Pa and Poisson's ratio is 0....

    Text Solution

    |

  19. Y,K and eta respectively the young's Bulk and rigidly modulus of a bo...

    Text Solution

    |

  20. Find poisson's ratio of a metal if young's modulus is 2.8 times rigid...

    Text Solution

    |