A faulty thermometer has its fixed points marked $5^o$ and $95^o$. This thermometer reads the temperature of a body as $59^o$. Then, the correct temperature of the body on the Celsius scale is ...... $^o$

Maximum density of $H_2O$ is at temperature

The coefficient of apparent expansion of liquid when determined using two different vessels $A$ and $B$ are $\gamma _1$ and $\gamma _2$ respectively. If the coefficient of linear expansion of the vessel $A$ is $\alpha $, then coefficient of linear expansion of $B$

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 $J = 4.2\,joule/cal$ )

A cylindrical rod with one end in a steam chamber and the outer end in ice results in melting of $0.1 \,\,gm$ of ice per second. If the rod is replaced by another with half the length and double the radius of the first and if the thermal conductivity of material of second rod is $1/4$ that of first, the rate at which ice melts is $gm/sec$ will be

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