$1\, kg$ of ice at $-10\,^oC$ is mixed with $4.4\, kg$ of water at $30\,^oC$. The final temperature of mixture is   ........ $^oC$ (specific heat of ice is $2100\, J/kg/k$)

Two thermometers $X$ and $Y$ have ice points marked at $15^o$ and $25^o$ and steam points marked as $75^o$ and $125^o$ respectively. When thermometer $X$ measures the temperature of a bath as $60^o$ on it,  ........ $^oC$ would thermometer $Y$ read when it is used to measure the temperature of the same bath ?

A pendulum clock keeps correct time at $0\ ^oC$. The thermal coefficient of linear expansion of the  material of the pendulum is $\alpha$. If the temperature rises to $t\ ^oC$, then the clock loses per day by (in second)

$50\,g$ of copper is heated to increase is temperature by $10\,^oC$. If the same quantity of heat is given to $10\,g$ of water, the rise in its temperature is  ........ $^oC$ (Specific heat of copper $= 420\,J-kg^{-1}\,^oC^{-1}$ )

The value of coefficient of volume expansion of glycerin is $5 \times 10^{-4}\, K^{-1}$. The fractional change in the density of glycerin for a rise of $40\,^oC$ in its temperature, is

Steam at $100\,^oC$ is passed into $22\,g$ of water at $20\,^oC$. The mass of water that will be present when the water acquires a temperature of $90\,^oC$ (Latent heat of steam is $540\, cal/g$ ) is ............ $\mathrm{g}$