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In a vertical U-tube containing a luquid...

In a vertical `U`-tube containing a luquid, the two arms are maintained at different temperatures, `t_(1)` and `t_(2)` . The liquid coplumns in the two arms have heights `l_(1)` and `l_(2)` respectively. The coefficient of volume expansion of the liquid is equal to

Text Solution

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The correct Answer is:
`(l_(1)-l_(2))/(l_(1)(T_(2)-T_(1)))`
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Knowledge Check

  • In a vertical U-tube containg a liquid, the two arms are maintained at different temperature, T_(1) and _(2) , respectively. The liquid columns in the two arms have heights, l_(1) and l_(2) , respectively. The coefficient of volume expansion of the liquid is equal to :

    A
    `(l_(2) - l_(2))/(l_(2)T_(1) - l_(1)T_(2))`
    B
    `(l_(1) - l_(2))/(l_(1)T_(1) - l_(2) T_(2))`
    C
    `(l_(1) + l_(2))/(l_(2) T_(1) + l_(1) T_(2))`
    D
    `(l_(1) + l_(2))/(l_(1) T_(1) + l_(2) T_(2))`

  • A solid whose volume does not change with temperature floats in a liquid. For two different temperatures t_1 and t_2 of the liqiud, fraction f_1 and f_2 of the volume of the solid remain submerged in the liquid. The coefficient of volume expansion of the liquid is equal to

    A
    `(f_1-f_2)/(f_2t_1-f_1t_2)`
    B
    `(f_1-f_2)/(f_1t_1-f_2t_2)`
    C
    `(f_1+f_2)/(f_2t_1+f_1t_2)`
    D
    `(f_1+f_2)/(f_1t_1+f_2t_2)`

  • Two vertical glass tibes filled with a liquid are connected at their lower ends by a horizontal capillary tube. One tube is surrounded by a bath containing ice and water at 0^(@)C and the other by hot water a t^(@)C . The difference in the height of the liquid in the two columns is Deltah , and the height of the colume at 0^(@)C is h_(0) . coefficient of volume expansion of the liquid is.

    A
    `(Deltah).(h_(0)t)`
    B
    `(2Deltah)/(h_(0)t)`
    C
    `(2h_(0))/(Deltaht)`
    D
    `(h_(0))/(Deltaht)`

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