Prove that, the expansion of volume V of a solid due to a rise `Deltat` in temperature is `DeltaV=3alphaV*Deltat`.
Here, `alpha=` coefficient of linear expansion of the solid.

The coefficient of linear expansion of a solid is-

Define the coefficient of linear expansion of solid.

The coefficient of linear expansion of solid depends on-

Define the coefficient of volume expansion of a solid.

Define the coefficient of cubical expansion of solid.

Prove that the change in the time period t of a simple pendulum due to a change DeltaT of temperature is, Deltat=1/2alphatDeltaT , where alpha = coefficient of linear expansion.

Show that the change in density rho of a liquid, due to rise in temperature Deltat , can be written as Deltarho=-rhogammaDeltat " ["gamma= coefficient of real expansion of the liquid].

Establish the relation between coefficient of linear and volume expansion Of solid.

A 1 L flask contains some mercury. It is observed that the volume of air in the flask remains unchanged at all temperatures. What is the volume of mercury in the flask? Coefficient of linear expansion of the material of the flask =9 times 10^(-6@)C^(-1) and coefficient of real expansion of mercury =1.8 times 10^(-4@)C^(-1)