Calculate the stress developed inside a tooth cavity filled with copper when hot tea at temperature of 57^o C is drunk. You can take body (tooth) temperature to be 37o C and α = 1.7× 10^-5 /^o C, bulk modulus for copper = 140 × 10 ⁹ N/m2.

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 remain constant. If α_iron 1.2 X 10^-5/ K and α_brass 1.8 X 10^-5 /K , what should we take as length of each strip?

We would like to make a vessel whose volume does not change with temperature (take a hint from the problem above). We can use brass and iron (β_vbrass = 6 × 10^-5/K and β_viron = 3.55 ×10_-5 / K) to create a volume of 100 cc. How do you think you can achieve this?

A rail track made of steel having length 10 m is clamped on a railway line at its two ends (Fig 11.3). On a summer day due to rise in temperature by 20° C, it is deformed as shown in figure. Find x (displacement of the center) if αsteel = 1.2× 10^-5 /°C.

A thin rod having length L0 at 0° C and coefficient of linear expansion α has its two ends maintained at temperatures θ₁ and θ₂, respectively. Find its new length.