A block of ice at $-20\,^oC$ having a mass of $2\,kg$ is added to a $3\,kg$ water at $15\,^oC$. Neglecting heat losses and the heat capacity of the container

Steam at $100\,^oC$ is passed into $1.1\,kg$ of water contained in calorimeter of water equivalent $0.02\ kg$ at $15\,^oC$ till the temperature of the calorimeter rises to $80\,^oC$. The mass of steam condensed in kilogram is

A bimetallic strip consists of metals $A$ and $B$ . It is mounted rigidly at the base as shown. The metal $A$ has a higher coefficient of expansion to that for metal $B$ . When bimetallic strip is placed in a cold bath it will

A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be $m$, specific heat $S,$ initial temperature $25°C$ melting point $ 475°C$ and the latent heat $L.$ Then $v$ is given by

A small quantity, mass $m$ , of water at a temperature $\theta $ (in $^oC$ ) is poured on to a large mass $M$ of ice which is at its melting point. If $c$ is the specific heat of water and $L$ the latent heat of fusion of ice, then the mass of ice melted is given by

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