Home
Class 12
PHYSICS
At 40^(@)C a brass wire of 1mm radius is...

At `40^(@)C` a brass wire of 1mm radius is hung from the ceiling. A small mass, M is hung from the free end of the wire. When the wire is cooled down from` 40^(@)C` to `20^(@)C` it regains its original length of 0.2 m the value of M is close to (coefficient of linear expansion and young's modulus of brass are `10^(-5)//.^(@)C` and `10^(11)//N//m^(2)` respectively `g=10ms^(-2))`

A

9 kg

B

1.5 kg

C

0.5 kg

D

0.9 kg

Text Solution

Verified by Experts

The correct Answer is:
A
`y=("stress")/("stra in")=(F//A)/(Deltal//l)`
`y=(mg)/(AalphaDeltaT),m=(yAalphaDeltaT)/(g)=2pi`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF MATTER

    VMC MODULES ENGLISH|Exercise JEE Advanced(Archive) Level - 2|1 Videos

  • PROPERTIES OF MATTER

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive) Level - 2|29 Videos

  • PROPERTIES OF MATTER

    VMC MODULES ENGLISH|Exercise Level -2|50 Videos

  • MOVING CHARGES & MAGNETISM

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-K|10 Videos

  • QUIZ

    VMC MODULES ENGLISH|Exercise PHYSICS|30 Videos

Similar Questions

Explore conceptually related problems

Steel wire of length 'L' at 40^@C is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled down from 40^@C to 30^@C to regain its original length 'L'. The coefficient of linear thermal expansion of the steel is 10^-5//^@C , Young's modulus of steel is 10^11 N//m^2 and radius of the wire is 1mm. Assume that L gt gt diameter of the wire. Then the value of 'm' in kg is nearly

Steel wire of length 'L' at 40^@C is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled down from 40^@C to 30^@C to regain its original length 'L'. The coefficient of linear thermal expansion of the steel is 10^-5//^@C , Young's modulus of steel is 10^11 N//m^2 and radius of the wire is 1mm. Assume that L gt gt diameter of the wire. Then the value of 'm' in kg is nearly

Steel wire of length 'L' at 40^@C is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled down from 40^@C to 30^@C to regain its original length 'L'. The coefficient of linear thermal expansion of the steel is 10^-5//^@C , Young's modulus of steel is 10^11 N//m^2 and radius of the wire is 1mm. Assume that L gt gt diameter of the wire. Then the value of 'm' in kg is nearly

A steel wire 2 m long is suspended from the ceiling. When a mass is hung from its lower end, the increase in length recorded is 1 cm . Determine the strain in the wire.

A steel wire of length 20 cm and uniform cross-section 1mm^(2) is tied rigidly at both the ends. If the temperature of the wire is altered from 40^(@)C to 20^(@)C , the change in tension. [Given coefficient of linear expansion of steel is 1.1xx10^(5) .^(@)C^(-1) and Young's modulus for steel is 2.0xx10^(11) Nm^(-2) ]

A brass wire 2 m long at 27^@C is held taut with negligible tension between two rigid supports. If the wire is cooled to a temperature of -33^@C , then the tension developed in the wire, its diameter being 2 mm, will be (coefficient of linear expansion of brass =2.0xx10^(-5)//^(@)C and Young's modulus of brass =0.91xx10^(11)Pa )

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 .

An thin rod of negligible mass and area of cross - section 4xx10^(-6)m^(2) , suspended vertically from one end, has a length of 0.5 m at 100^(@)C . The rod is cooled to 0^(@)C but prevented from contracting by attaching a mass at the lower end. The value of this mass is (Given, coefficient of linear expansion is 10^(-5^(@))C^(-1) , Young's modulus is Y=10^(11)Nm^(-2) and g=10ms^(-2))

A wire having a length 1 m and cross-section area 3mm^(2) is suspended at one of its ends from a ceiling. What will be its strain energy due to its own weight, if the density and Young's modulus of the material of the wire be 10 g//cm^(3) and 1.2xx10^(11)N//m^(2) respectively.

A uniform steel wire of cross-sectional area 0.20 mm^2 is held fixed by clamping its two ends. Find the extra force exerted be each clamp on the wire if the wire is cooled from 100^0C to 0^o C . Young's modulus of steel = 2.0 xx 10^11 N m^(-2) . Coefficient of linear expansion of =1.2 xx 10^(-5) C^(-1) .

VMC MODULES ENGLISH-PROPERTIES OF MATTER-JEE Main (Archive) Level - 1
  1. An unknown metal of mass 192 g heated to a temperature of 100^(@)C was...

    Text Solution

    |

  2. A heat source at T = 10^(3) K is connected to another heat reservoir ...

    Text Solution

    |

  3. Two rods A and B of identical dimensions are at temperature 30^(@)C. I...

    Text Solution

    |

  4. A thermometer graduated according to linear scale reads a value x(0) ...

    Text Solution

    |

  5. When 100 g of a liuqid A at 100^(@)C is added to 50 g of a liqui...

    Text Solution

    |

  6. A metal ball of mass 0.1 Kg is heated upto 500^(@)C and drooped into...

    Text Solution

    |

  7. If speed V, area A and force F are chosen and fundamental units, then ...

    Text Solution

    |

  8. Ice at -20^(@)C is added to 50 g of water at 40 ^(2)C When the tempera...

    Text Solution

    |

  9. A load of mass M kg is suspended from a steel wire of length 2 m and r...

    Text Solution

    |

  10. A cylinder of radius R is surrounded by a cylindrical shell of inne...

    Text Solution

    |

  11. A thermally insulated vessel contains 150g of water at 0^(@)C. Then th...

    Text Solution

    |

  12. A boy has a catapult made of a rubber cord of length 42 cm and diamete...

    Text Solution

    |

  13. A steel wire having a radius of 2.0mm, carrying a load of 4kg, is hang...

    Text Solution

    |

  14. Two identical beakers A and B contain equal volumes of two different l...

    Text Solution

    |

  15. Young's moduli of two wires A and B are in the ratio 7:4 wire A is 2m...

    Text Solution

    |

  16. Two materials having coefficients of thermal conductivity '3k' and 'k'...

    Text Solution

    |

  17. The elastic limit of brass is 379MPa. What should be the minimum diame...

    Text Solution

    |

  18. A uniform cylindrical rod of length L and radius r, is made from a mat...

    Text Solution

    |

  19. m(1) gram of ice at -10^(@)C and m(2) gram of water at 50^(@)C are mix...

    Text Solution

    |

  20. At 40^(@)C a brass wire of 1mm radius is hung from the ceiling. A smal...

    Text Solution

    |