When two samples at different temperatures are mixed, the temperature of the mixture can be:-

Two substances $A$ and $B$ of equal mass $m$ are heated at uniform rate of $6 \mathrm{cal} {\mathrm{s}}^{-1}$ under similar conditions. A graph between temperature and time is shown in figure. Ratio of heat absorbed $\frac{H_A}{H_B}$ by them for complete fusion is:

A well insulated substance in solid state is heated at a constant rate until it vaporizes completely. The temperature-time graph of the substance is shown below. Which of the following statements is/are true?

Two fine steel wires, fastened between the projections of a heavy brass bar, are just taut when the whole system is at $0°\mathrm{C}$. What is the tensile stress in the steel wires when the temperature of the system is raised by $200°\mathrm{C}$ ? $\left({\alpha }_{\mathrm{brass} }=2\times {10}^{-5}{{}^{\circ }\mathrm{C}}^{-1},{\alpha }_{\mathrm{steel} }=1.2\times {10}^{-5}{{}^{\circ }\mathrm{C}}^{-1},Y_{\mathrm{steel} }=200 G\mathrm{N} {\mathrm{m}}^{-2}\right)$

In a mercury-glass thermometer the cross-section of the capillary portion is $A_0$ and the volume of the bulb is $V_0$ at $273 \mathrm{K}$. If $\alpha$ and $\gamma$ are the coefficients of linear and cubical expansion coefficients of glass and mercury respectively then length of mercury in the capillary at temperature $t°\mathrm{C}$ is (Ignore the increase in cross-sectional area of capillary)