An iron ball of mass $0.2\,kg$ is heated to $10\,^oC$ and put into a block of ice at $0\,^oC.$ $25\,g$ of ice melts. If the latent heat of fusion of ice is $80\,cal/g,$ then the specific heat of iron in $cal/g\,^oC$ 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

Two rods, one made of aluminium and the other made of steel, having initial lengths $l_1$  and $l_2$ respectively are connected together to form a single rod of length $(l_1 + l_2)$. The coefficients of linear expansion for aluminium and steel of $\alpha_1$ and $\alpha_2$ respectively. If the length of each rod increases by the same amount when  their temperature is raised by $t^oC$, then the ratio $l_1/(l_1 + l_2)$ :-

$1\, kg$ 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 $2100\, J/kg/k$)

Solids expand on heating because ................

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