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A long cylindrical metal vessel, having ...

A long cylindrical metal vessel, having a linear coefficient `(alpha)`, is filled with a liquid upto a certain level. On heating , it is found that the level of liquid in the cylinder remains the same. What is the volume coefficient of expansion of the liquid?

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As the level of the liquid inside the vessel remains the same, irrespective of heating the vessel, therefore, the volume coefficient of expansion of the liquid is same as the volume coefficient of expansion of the vessel which is `gamma = 3 alpha`
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