The coefficient of apparent expansion of mercury in a glass vessel is  $153 × 10^{-6}{°C^{-1}}$ and in a steel vessel is $144 × 10^{-6}{°C^{-1}}$. If $\alpha$ for steel is $12 × 10^{-6}{°C^{-1}}$, then that of glass is

$200\, g$ of a solid ball at $20\,^oC$ is dropped in an equal amount of water at $80\,^oC$ . The resulting temperature is $60\,^oC$ . This means that specific heat of solid is

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

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 ?

The volume of a metal sphere increases by $0.15\%$ when its temperature is raised by $24\,^oC$.The coefficient of linear expansion of metal is

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 ........ $^oC$