Thermal properties of matter practice · Medium

The Coefficient of apparent expansion of a liquid when determined using two different vessels $A\;\mathrm{and}\;B\;\mathrm{are}\;{\lambda _1}$ and ${\lambda _2},$ respectively. If the coefficient of linear expansion of the vessel $A\;\mathrm{is}\;\alpha ,$ the coefficient of linear expansion of vassel $B$ is

The freezing point on a thermometer is marked as ${20^0}C$ and the boiling point as ${150^0}C$. A temperature of ${60^0}C$ on this thermometer will be read as

A simple seconds pendulum is constructed out of a very thin string of thermal coefficient of linear expansion $\alpha=20 \times 10^{-4} /{ }^{\circ} \mathrm{C}$ and a heavy particle attached to one end. The free end of the string is suspended from the ceiling of an elevator at rest. The pendulum keeps correct time at $0^{\circ} \mathrm{C}$. When the temperature rises to $50^{\circ} \mathrm{C}$, the elevator operator of mass $60 \mathrm{~kg}$ being a student of Physics accelerates the elevator vertically, to have the pendulum correct time. Find the apparent weight of the operator when the pendulum keeps correct time at $50^{\circ} \mathrm{C}$. (Take $g=10 \mathrm{~m} / \mathrm{s}^2$ )

The spectrum from a black body radiation is a