Home
Class 12
PHYSICS
figures shows the expansion of a 2m long...

figures shows the expansion of a `2`m long metal rod with temperature . The volume expansion coefficient the
metal is :-

A

`3xx 10 ^(-4)K^(-1)`

B

`1.5 xx 10^(-4) K_(-1)`

C

`3 xx 10^(-5) K^(-1)`

D

`1.5 xx 10 ^(-5)K^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B

`because = (Deltal)/(lDeltaT) = (0.5 xx 10^(-3))/(2(5)) = 5 xx 10^(-5) K^(-1) implies gamma = 3alpha = 1.5 xx 10 ^(-4) K^(-1)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

For an ideal gas PT^(11) = constant then volume expansion coefficient is equal to :-

Certain perfect gas is found to obey PV^(n) = constant during adiabatic process. The volume expansion coefficient at temperature T is

Superficial expansion and volume expansion

The corfficient of linear expansion for a certain metal varies with temperature as alpha(T) . If L_0 is the initial elgnth of the metal and the temperature of metal is changed from T_0 to T(T_0gtT) , then

The absolute coefficient of expansion of a liquid is 7 times that the volume coefficient of expansion of the vessel. Then the ratio of absolute and apparent expansion of the liquid is

The absolute coefficient of expansion of a liquid is 7 times that the volume coefficient of expansion of the vessel. Then the ratio of absolute and apparent expansion of the liquid is

A liquid (coefficient of cubical expansion gamma_(1) ) is contained in a glass vessel of volume V_(g) (coefficient of cubical expansion gamma_(g) ) at a temperature. The volume of liquid at this temperature is V_(l) . Now the system is heated and it is found that at all temperatures, the volume of vessel, unoccupied by liquid remains always same, then

A metal ball immersed in alcohol weights W_1 at 0^@C and W_2 at 50^@C . The coefficient of expansion of cubical the metal is less than that of the alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that

A horizontal tube, open at both ends, contains a column of liquid. The length of this liquid column does not change with temperature. Let gamma : coefficient of volume expansion of the liquid and alpha : coefficient of linear expansion of the material of the tube

A sinker of weight w_0 has an apparent weight w_1 when weighed in a liquid at a temperature t_1 and w_2 when weight in the same liquid at temperature t_2 . The coefficient of cubical expansion of the material of sinker is beta . What is the coefficient of volume expansion of the liquid.

ALLEN-GEOMETRICAL OPTICS-SOME WORKED OUT EXAMPLES
  1. The figure shows two thin rods , one made of aluminium [alpha = 23 xx ...

    Text Solution

    |

  2. Certain perfect gas is found to obey PV^(n) = constant during adiabati...

    Text Solution

    |

  3. figures shows the expansion of a 2m long metal rod with temperature . ...

    Text Solution

    |

  4. The temperature of a body rises by 44^(@)C when a certain amount of he...

    Text Solution

    |

  5. A fine steel wire of length 4m is fixed rigidly in a heavy brass fram...

    Text Solution

    |

  6. 540 g of ice at 0^(@)C is mixed with 540 g of water at 80^(@)C. The fi...

    Text Solution

    |

  7. A refrigerator converts 100 g of water at 25^(@)C into ice at -10^(@)C...

    Text Solution

    |

  8. 5n , n and 5n moles of a monoatomic , diatomic and non-linear polyatom...

    Text Solution

    |

  9. Figure shows the adiabatic curve on log-log scale performed on a ideal...

    Text Solution

    |

  10. Figure demonstrates a polytropic process (i.e.PV^(n) = constant ) for ...

    Text Solution

    |

  11. A vessel contains 14 g (7 moles ) of hydrogen and 96 g (3moles) of oxy...

    Text Solution

    |

  12. Suppose 0.5 moles of an ideal gas undergoes an isothermal expansion as...

    Text Solution

    |

  13. The respective speeds of five molecules are 2,1.5,1.6,1.6 and 1.2 km/s...

    Text Solution

    |

  14. When water is boiled at 2 atm pressure the latent heat of vaporization...

    Text Solution

    |

  15. Given T-p curve for three processes. Work done in process 1, 2 and 3 (...

    Text Solution

    |

  16. Figure shows the variations of the internal energy U With density rho ...

    Text Solution

    |

  17. One mole of an ideal gas undergoes a process whose molar heat capacity...

    Text Solution

    |

  18. An irregular rod of same uniform material as shown in figure is condu...

    Text Solution

    |

  19. A gas undergoes an adiabatic process in which pressure becomes ((8)/(3...

    Text Solution

    |

  20. Following graphs shows the variation in the intensity of heat radiatio...

    Text Solution

    |