A piece of metal weight $46\, gm$ in air, when it is immersed in the liquid of specific gravity $1.24$ at $27°C$ it weighs $30\, gm.$ When the temperature of liquid is raised to $42°C$ the metal piece weight $30.5\, gm,$ specific gravity of the liquid at $42°C$ is $1.20,$ then the linear expansion of the metal will be

A simple pendulum made of a bob of mass $m$ and a metallic wire of negligible mass has time period $2s$ at  $T = 0\,^oC$ . If the temeprature of the wire is increased and the corresponding change in its time peirod is plotted against its temperature, the resulting graph is a line of slope $S$. If the coefficient of linear expansion of metal is $\alpha $ then the value of  $S$ is

The weight of sphere in air is $50\ g$. Its weight $40\  g$ in a liquid, at temperature $20\,^o C$. When  temperature increases to $70\,^o C$ , it weight becomes $45\  g$, then the ratio of densities of liquid at given two temperature is

The coefficient of linear expansion of brass and steel are ${\alpha _1}$ and ${\alpha _2}$. If we take a brass rod of length ${l_1}$ and steel rod of length ${l_2}$ at $0°C$, their difference in length $({l_2} - {l_1})$ will remain the same at a temperature if

Thermal expansion of a solid is due to the

A flask of volume $10^3 cc$ is completely filled with mercury at $0 ^oC$. The coefficient of cubical expansion of mercury is $180 × 10^{-6} / ^oC$ and that of glass is $40 × 10^{-6}/ ^oC$. If the flask is now placed in boiling water at $100\ ^oC$, ........ $cc$ mercury will overflow