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 ............ $\mathrm{g}$

A vertical glass capillary tube open at both ends contains some water. Which of the following shapes may be taken by the water in the tube?

Two holes of unequal diameters $d_1$ and $d_2\, (d_1 > d_2)$ are cut in a metal sheet. If the sheet is heated

$540\  g$ of ice at $0\ ^oC$ is mixed with $540\  g$ water at $80\  ^oC$. The final temperature of the mixture is

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

A flask of volume $10^3\ cc$ is completely filled with mercury at $0\,^oC$. The coefficient of cubical expansion of mercury is $180 \times 10^{-6}/^oC$ and that of glass is $40 \times 10^{-6}/^oC$. If the flask is now placed in boiling water at $100\,^oC$, ........ $cc$ mercury will overflow