The height of a mercury column measured with a brass scale, which is correct and equal to $H_0$ at $0°\mathrm{C}$, is $H_1$ at $t°\mathrm{C}$? The coefficient of linear expansion of brass is $\alpha$ and the coefficient of volume expansion of mercury is $\gamma$. Relate $H_0$ and $H_1$.

A glass bulb contains air and mercury. What fraction of the bulb must be occupied by mercury if the volume of air in the bulb is to remain constant at all temperatures? The coefficient of linear expansion of glass is $9\times {10}^{-6} {\mathrm{K}}^{-1}$ and the coefficient of expansion of mercury is $1.8\times {10}^{-4} {\mathrm{K}}^{-1}$.

When composite rod is free, composite length increases to $2.002 \mathrm{m}$ when temperature increases from $20°\mathrm{C}$ to $120°\mathrm{C}$. When composite rod is fixed between the support, there is no change in component length. Find $Y$ and $\alpha$ of steel if $Y_{\mathrm{cu}}=1.5\times {10}^{13} \mathrm{N} {\mathrm{m}}^{-2}, {\alpha }_{\mathrm{cu}}=1.6\times {10}^{-5}/{}^{\circ }\mathrm{C}$

A child running a temperature of $101{ }^{\mathrm{o}}\mathrm{F}$ is given an antipyrine (i.e. medicine that lowers fever) which causes an increase in the rate of evaporation of sweat from his body. If the fever is brought down to ${98}^{ \mathrm{o}}\mathrm{F}$ in $20 \min$, what is the average rate of extra evaporation caused, by the drug? Assume the evaporation mechanism to be the only way by which heat is lost. The mass of the child is $30 \mathrm{kg}$. The specific heat of the human body is approximately the same as that of water, and latent heat of evaporation of water at that temperature is about $580 {\mathrm{calg}}^{-1}$

A piece of ice of mass $50 \mathrm{g}$ exists at a temperature of $-20°\mathrm{C}$. Determine the total heat required to convert it completely to steam at $100°\mathrm{C}$. (Specific heat capacity of ice $=0.5 \mathrm{cal} {\mathrm{g}}^{-1}-{}^{\circ }\mathrm{C}$; specific latent heat of fusion for ice $=80 \mathrm{cal} {\mathrm{g}}^{-1}$ and specific latent heat of vaporisation for water $=540 \mathrm{cal} {\mathrm{g}}^{-1}$ ).

Ice of mass $600 \mathrm{g}$ and at a temperature of $-10°\mathrm{C}$ is placed in a copper vessel heated to $350°\mathrm{C}$. The resultant mixture is $550 \mathrm{g}$ of ice and water. Find the mass of the vessel. The specific heat capacity of copper $\left(c\right)==100 \mathrm{cal}/\mathrm{kg}-\mathrm{K}$.

When a small ice crystal is placed in overcooled water it begins to freeze instantaneously.

What amount of ice is formed from $1 \mathrm{kg}$ of water overcooled to $-8°\mathrm{C}?$ $L$ of water $=336\times {10}^3 \mathrm{J} {\mathrm{kg}}^{-1}$ and $s$ of water $=4200 \mathrm{J}/\mathrm{kg}/\mathrm{K}$

When a small ice crystal is placed in overcooled water it begins to freeze instantaneously.

What should be the temperature of the overcooled water in order that all of it be converted into ice at $0{}^{\circ }\mathrm{C}?$

$L$ of water $=336\times {10}^3 \mathrm{J} {\mathrm{kg}}^{-1}$ and $s$ of water $=4200 \mathrm{J}/\mathrm{kg}/\mathrm{K}$

An electric heater whose power is $54 \mathrm{W}$ is immersed in $650 {\mathrm{cm}}^3$ water in a calorimeter. In $3 \min$ the water is heated by $3.4°\mathrm{C}$. What part of the energy of the heater passes out of the calorimeter in the form of radiant energy?