One kilogram of ice at $0\,^oC$ is mixed with one kilogram of water at $80\,^oC$. Temperature of mixture is …….. $^oC$  (specific heat of water $= 4200\,J\,kg^{-1}\,K^{-1}$ and latent heat of ice $= 336\,KJ \,kg^{-1}$ )

‘Stem Correction’ in platinum resistance thermometers are eliminated by the use of

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 pendulum clock keeps correct time at $0\ ^oC$. The thermal coefficient of linear expansion of the  material of the pendulum is $\alpha$. If the temperature rises to $t\ ^oC$, then the clock loses per day by (in second)

A centigrade and a Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit thermometer registers $140°F$. What is the fall in temperature as registered by the Centigrade thermometer …… $^o$