A clock which keeps correct time at $20\,^oC$ has a pendulum rod made of brass. How many seconds will it gain or lose per day when temperature falls to $0\,^oC$ ? $(\alpha = 18\times10^{-6}/^oC)$

A liquid having coefficient of cubical expansion $\gamma $ is filled in the container having coefficient of linear expansion $\alpha $. If on heating the liquid overflows, then which of the following relations is correct?

A lead bullet at $27\,^oC$ just melts when stopped by an obstacle. Assuming that $25\%$ of heat is absorbed by the obstacle, then the velocity of the bullet at the time of striking is  ........ $m/s$ ( $M.P.$ of lead = $327\,^oC$, specific heat of lead $= 0.03\,cal/g\,^oC$, latent heat of fusion of lead $= 6\,cal/g$ and $J = 4.2\,joule/cal$ )

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

Amount of heat required to raise the temperature of a body through $1 ^o C$ is called its

$540\, g$ of ice at $0\,^oC$ is mixed with $540\, g$ water at $80\,^oC$ . The final temperature of the mixture is