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A long vessel having coefficient of linear expansion ‘α’ contains a liquid up to certain height. On heating , it is found that the height of liquid column remains constant at all temperature. Volume coefficient of Expansion of liquid is

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6 α

2 α

3 α

answer is B.

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Detailed Solution

$Volume of liquid V = A I Increase in volume Δ V = (Δ A) l (∴ I is constant) \begin{array}{l} \Rightarrow V γ_{1} Δ T = (2 α) A . l . Δ T \\ \Rightarrow V γ_{1} Δ T = 2 α V . Δ T (∵ V = A l) \\ \Rightarrow γ_{1} = 2 α \end{array}$

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