Home
Class 11
PHYSICS
A thin rod of negligible mass and a cros...

A thin rod of negligible mass and a cross-section of `2 xx 10^(-6) m^(2)` suspended vertically from one end, has a length of `0.5 m` at `200^(@)C`. The rod is cooled at `0^(@)C`, but prevented from contracting by attaching a mass at the lower end. The value of this mass is : (Young's modulus `=10^(11) N//m^(2)`, Coefficient of linear expansion `10^(-5) K^(-1) and g = 10 m//s^(2)`):

A

20 kg

B

30 kg

C

40 kg

D

50 kg

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMMUNICATION SYSTEM

    DC PANDEY|Exercise Only One Option is Correct|27 Videos
  • ELASTICITY

    DC PANDEY|Exercise Medical entrances s gallery|21 Videos

Similar Questions

Explore conceptually related problems

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 thin rod of negligible mass and area of cross-section 4 xx 10^(-6)m^(2) , suspended vertically from one end has a length of 0.5 m at 10^(@)C . The rod is colled art 0^(@)C , but prevented from contracting by attaching a mass at the loqedr end. Find (i) This mass and (ii) The energy stored in the rod. Given for this rod, Y = 10^(11)Nm^(-2) , coefficient of linear expansion = 10^(-5)K^(-1) and g = 10ms^(-2) .

A thin rod of negligible mass and area of cross section S is suspended vertically from one end. Length of the rod is L_(0) at T^(@)C . A mass m is attached to the lower end of the rod so that when temperature of the rod is reduced to 0^(@)C its length remains L_(0) Y is the Young’s modulus of the rod and alpha is coefficient of linear expansion of rod. Value of m is :

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 .

Figure shows a steel rod of cross sectional ara 2 xx 10^(-6)m^(2) is fixed between two vertical walls. Initially at 20^(@)C there is no force between the ends of the rod and the walls. Find the force which the rod will exert on walls at 100^(@) C . Given that the coefficient of linear expansion of steel is 1.2 xx 10^(-5).^(@)C^(-1) and Young's modulus is 2xx10^(11)N//m^(2)

A wire suspended vertically from one of its ends is stretched by attaching a weight of 20 N to its lower end. If its length changes by 1% and if the Young's modulus of the material of the wire is 2 xx 10^(11) N//m^(2) , then the area of cross section of the wire is

A wire of length 1 m and area of cross section 2xx10^(-6)m^(2) is suspended from the top of a roof at one end and a load of 20 N is applied at the other end. If the length of the wire is increased by 0.5xx10^(-4)m , calculate its Young’s modulus (in 10^(11)N//m^(2)) .

Calculate the force required to prevent a steel wire of 1 mm^2 cross-section from contracting when it cools from 60^@C to 15^@C , if Young's modulus for steel is 2xx10^11 Nm^-2 and its coefficient of linear expansion is 0.000011^@C^-1.

An iron rod of length 2m and cross section area of 50 mm^(2) , stretched by 0.5 mm, when a mass 250 kg is hung from its lower end. Young's modulus of the iron rod is

DC PANDEY-CURRENT ELECTRICITY-All Questions
  1. What must be the lengths of steel and copper rods at 0^(@)C for the di...

    Text Solution

    |

  2. Earth receives 1400 W//m^2 of solar power. If all the solar energy fal...

    Text Solution

    |

  3. A thin rod of negligible mass and a cross-section of 2 xx 10^(-6) m^(2...

    Text Solution

    |

  4. A gas at the temperature 250 K is contained in a closed vessel. If the...

    Text Solution

    |

  5. A certain amount of ideal monoatomic gas undergoes a process given by ...

    Text Solution

    |

  6. A rod of length 1000 mm and co-efficient of linear expansion alpha = ...

    Text Solution

    |

  7. One mole of a diatomic ideal gas undergoes a cyclic process ABC as sho...

    Text Solution

    |

  8. A copper block of mass 2.5 kg is heated in a furnace to a temperature ...

    Text Solution

    |

  9. Consider isothermal expansion of 0.5 mole of an ideal gas when Q amoun...

    Text Solution

    |

  10. A brass boiler has a base area of 0.15m^2 and thickness 1.0 cm it boil...

    Text Solution

    |

  11. A monoatomic ideal gas is used in a carnot engine as the working subst...

    Text Solution

    |

  12. Two adiabatic containers have volumes V(1) and V(2) respectively. The ...

    Text Solution

    |

  13. Three identical rods AB, CD and PQ are joined as shown. P and Q are mi...

    Text Solution

    |

  14. When the temprature of a gas filled in a closed vessel is increased by...

    Text Solution

    |

  15. The following graphs shows two isothermal process for a fixed mass of ...

    Text Solution

    |

  16. A sample of ideal gas (gamma=1.4) is heated at constant pressure. If a...

    Text Solution

    |

  17. If 2 mol of an ideal monatomic gas at temperature T(0) are mixed with ...

    Text Solution

    |

  18. Heat is supplied to a diatomic gas at constant pressure. The ratio o...

    Text Solution

    |

  19. The energy density u/V of an ideal gas is related to its pressure P as

    Text Solution

    |

  20. A ring consisting of two parts ADB and ACB of same conductivity k carr...

    Text Solution

    |