Two thermometers $X$ and $Y$ have ice points marked at $15^o$ and $25^o$ and steam points marked as $75^o$ and $125^o$ respectively. When thermometer $X$ measures the temperature of a bath as $60^o$ on it, ..... $^oC$ would thermometer $Y$ read when it is used to measure the temperature of the same bath ?

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? ............ $^\circ \mathrm{W}$

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

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

A beaker contains $200\,g$ of water. The heat capacity of the beaker is equal to that of $20\,g$ of water. The initial temperature of water in the beaker is $20\,^oC$. If $440\,g$ of hot water at $92\,^oC$ is poured in it, the final temperature (neglecting radiation loss) will be nearest to ........ $^oC$

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