First slide

Thermal expansion

Question

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 =

Easy

A

3α
B

3α/2
C

6α
D

9α

Solution

Volume of container V_C = V; Volume of liquid V_l = V/2
Volume of unoccupied part constant,
$\large V_C\gamma_C=V_l\gamma _l\Rightarrow V_C(3\alpha)=V_l(\gamma)\Rightarrow \gamma=6\alpha$

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