Q 11-10-015NEETJEE MainEAMCET 2013 (Medical)Medium
A long cylindrical metal vessel, of coefficient of linear expansion $\alpha$, is filled with a liquid up to a certain height. On heating, the level of the liquid in the cylinder remains the same. The volume coefficient of expansion of the liquid is
Answer: (A) $2\alpha$
If the level stays fixed, the liquid volume grows only because the cross-sectional area of the vessel grows. The area expands with coefficient $2\alpha$, so $\gamma_{liquid} = 2\alpha$.
Solution by Sreeraj P, M.Sc Physics