A bimetallic strip is formed out of two identical strips, one of copper and the other of brass. The coefficients of linear expansion of the two metals are `alpha_C` and `alpha_B` (`alpha_B` >`alpha_C`). On heating the bimetallic strip through temperature `Delta T`, the strip bends into an arc of a circle. Find the radius of curvature of the bimetallic strip.

The radius of a metal sphere at room temperature T is R, and the coefficient of linear expansion of the meta is alpha . The sphere is heated a little by a temperature DeltaT so that its new temperature is T + DeltaT . The icnrease in the volume of the sphere is approximately

A bimetallic strip is made of aluminium and steel (alpha_A > alpha _(steel)) . On heating, the strip will

A thin rod having length L_0 at 0^@C and coefficient of lineare expansion alpha has its two ends maintained at temperatures theta_1 and theta_2 , respectivley. Find its new length.

Find the equation of the following curve : x=a+c cos alpha, y=b+c sin alpha , where 0 le alpha< 2 pi , in cartesian form*. In case the curve is a circle, find its centre and radius.

We would like to prepare a scale whose length does not change with temperature. It is proposed to prepare a unit scale of this type whose length remains, say 10 cm. We can use a bimetallic strip made of brass and iron each of different length whose length (both components) would change in such a way that difference between their lengths remains constant. If alpa_(iron = 1.2 xx 10^-5 //K and alpha_(brass = 1.8 xx 10^-5//K , what should we take as length of each strip?