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A liquid occupies half of a vessel at a particular temperature. The volume of the unoccupied part remains constant at all temperatures. If α and $γ$ are the coefficients of linear and real expansions of a vessel and liquid, then $γ$ =

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3α

3α/ 2

6α

9α

answer is C.

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Detailed Solution

$V_{l} γ_{l} = V_{v} γ_{v} and γ_{v} = 3 α Also, V_{l} = \frac{V_{v}}{2}$

$\frac{V_{v}}{2} γ_{l} = V_{v} 3 α \Rightarrow γ_{l} = 6 α$

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