A vertical column $50$ $cm$ long at $50°C$ balances another column of same liquid $60 \,cm$ long at $100°C$. The coefficient of absolute expansion of the liquid is
$0.005°C^{-1}$
$0.0005°C^{-1}$
$0.002°C^{-1}$
$0.0002°C^{-1}$
What will happen if a rod is tied with fixed supports rigidly at both ends and temperature is increased ?
Water is fully filled in a container at $4\,{}^oC$, then
Find out the increase in moment of inertia $I$ of a uniform rod (coefficient of linear expansion a) about its perpendicular bisector when its temperature is slightly increased by $\Delta T$.
A beaker is filled with water at $4\,^oC$. At one time the temperature is increased by few degrees above $4\,^oC$ and at another time it is decreased by a few degrees below $4\,^oC$. One shall observe that:
Given below are two statement : one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$ : When a rod lying freely is heated, no thermal stress is developed in it.
Reason $R :$ On heating the length of the rod increases.
In the light of the above statements, choose the correct answer from the options given below