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 ENGLISH|Exercise Only One Option is Correct|27 Videos

  • ELASTICITY

    DC PANDEY ENGLISH|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 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 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)) .

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) .

The pressure that has to be applied to the ends of a steel wire of length 10cm to keep its length constant when its temperature is raised by 100^@C is : (For steel Young's modulus is 2xx10^11 Nm^-2 and coefficient of thermal expansion is 1.1xx10^-5K^_1 )

A copper wire of negligible mass, 1 m length and cross-sectional area 10^(-6) m^(2) is kept on a smooth horizontal table with one end fixed. A ball of mass 1 kg is attached to the other end. The wire and the ball are rotating with an angular velocity of 20 rad//s . If the elongation in the wire is 10^(-3) m . a. Find the Young's modulus of the wire (in terms of xx 10^(11) N//m^(2) ). b. If for the same wire as stated above, the angular velocity is increased to 100 rad//s and the wire breaks down, find the breaking stress (in terms of xx 10^(10) N//m^(2) ).

There is same change in length when a 33000 N tensile force is applied on a steel rod of area of cross-section 10^(-3)m^(2) . The change of temperature reuired to produce the same elongation, if the steel rod is heated , if (The modulus of elasticitay is 3xx10^(11) N//m^(2) and the coefficient of linear expansion of steel is 1.1 xx 10^(-5) //^(@)C ).

A steel rod is rigidly clamped at its two ends. The rod is under zero tension at 20^@C . If the temperature rises to 100^@ 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 linear expansion of steel = 12.0 xx 10^(-6)C^(-1) and Young's modulus of steel 2.00 xx 10^(11) N m^(-2) .

A light rod AC of length 2.00 m is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross-section 10^(-3) m^(2) and the other is of brass of cross-section 2xx10^(-3) m^(2) . The position of point D from end A along the rod at which a weight may be hung to produce equal stress in both the wires is [Young's modulus of steel is 2xx10^(11) Nm^(2) and for brass is 1xx10^(11) Nm^(-2) ]

A body of mass 3.14 kg is suspended from one end of a wire of length 10 m . The radius of cross-section of the wire is changing uniformly from 5xx10^(-4) m at the top (i.e. point of suspension) to 9.8xx10^(-4) m at the bottom . Young's modulus of elasticity is 2xx10^(11) N//m^(2) . The change in length of the wire is

DC PANDEY ENGLISH-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 = 1...

    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. A uniform metallic disc of radius r and mass m is spinning with angula...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If an ideal gas is heated at constant pressure :

    Text Solution

    |

  17. Two identical vessels A and B contain masses m and 2m of same gas. The...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |