If the volume of a block of metal changes by $0.12\%$ when it is heated thrugh $20\,^oC$, the coefficient of linear expansion (in $^o{C^{ - 1}}$) of the metal is

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 $0.1 \times 10^{-4}/^oC$ ? ............ $\mathrm{cc}$

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

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

If the earth suddenly stops revolving and all its rotational $KE$ is used up in raising its temperature and if $'s'$ is taken to be the specific heat of the earth's material, the rise of temperature of the earth will be : ( $R -$ radius of the earth and $\omega  =$ its angular velocity, $J =\,Joule$ constant)

Three perfect gases at absolute temperature $T_1 , T_2$ and $T_3$ are mixed. The masses of molecules are $m_1 , m_2$ and $m_3$ and the number of molecules are  $n_1 , n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is