A glass flask of volume one litre at $0\,^oC$ is filled, level full of mercury at this temperature. The flask and mercury are now heated to $100\,^oC$. How much mercury will spill out, if coefficient of volume expansion of mercury is $1.82 \times 10^{-4}/^oC$ and linear expansion of glass is $0.1 \times 10^{-4}/^oC$ ? ............ $\mathrm{cc}$

A rod is fixed between two points at $20\,^oC$ . The coefficient of linear expansion of material of rod is $1.1 \times 10^{-5}/\,^oC$ and Young's modulus is $1.2 \times 10^{11}\,N/m^2$. Find the stress developed in the rod if temperature of rod becomes $10\,^oC$

The rods of length $L_1$ and $L_2$ are made of materials whose coefficients of linear expansion are $\alpha _1$ and $\alpha _2$. If the difference between the two lengths is independent of temperatures

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

On a new scale of temperature (which is linear) and called the $W\, scale$, the freezing and boiling points of water are $39\,^oW$ and $239\,^oW$ respectively. What will be th temperature on the new scale, corresponding to a temperature of $39\,^oC$ on the Celsius scale? ............ $^\circ \mathrm{W}$

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