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A vessel is partly filled with liquid. W...

A vessel is partly filled with liquid. When the vessel is cooled to a lower temperature, the space in the vessel unoccupied by the liquid remains constant. Then the volume of the liquid `(V_L)` volume of the vessel `(V_V)` the coefficient of cubical expansion of the material of the vessel `(gamma_v)` and of the solid `(gamma_L)` are related as

A

`gamma_L gt gamma_V`

B

`gamma_L lt gamma_V`

C

`gamma_V//gamma_L =V_V //V_L`

D

`gamma_V//gamma_L =V_L//V_L`

Text Solution

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The correct Answer is:
A, B
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Knowledge Check

  • A vessel is partly filled with a liquid. Coefficients of cubical expansion of material of the vessel and liquid are gamma_v unoccupied by the liquid will necessarily

    A
    remain unchanged if `gamma_v=gamma_L`
    B
    increase if `gamma_v=gamma_L`
    C
    decrease if `gamma_v=gamma_L`
    D
    none of the above
  • A liquid occupies half of a vessel at a perticular temperature. The volume of the unoccupied part remains constant at all temperatures. If alpha and gamma are the coefficients of linear and real expansions of a vessel and liquid, then gamma is

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    `3alpha`
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    `3alpha//2`
    C
    `6alpha`
    D
    `9alpha`
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