A $2 \mathrm{cm}$ cube of some substance has its upper face displaced by $0.15 \mathrm{cm}$ due to a tangential force of $0.3 \mathrm{N}$ while keeping the lower face fixed. Calculate the rigidity  modulus of the substance. 

A copper cube of side of length $1 \mathrm{cm}$ is subjected to a pressure of $100 \mathrm{atmosphere}$. Find the change in its volume if the bulk modulus of copper is $1.4\times {10}^{11} \mathrm{N} {\mathrm{m}}^{-2}$. 

$\left(1 \mathrm{atmosphere}=1\times {10}^5 {\mathrm{Nm}}^{-2}\right)$

A steel wire of length$4.7 \mathrm{m}$ and cross-sectional area $3.0\times {10}^{-5} {\mathrm{m}}^2$ stretches by the same amount as a copper
wire of length$3.5 \mathrm{m}$ and cross-sectional area of $4.0\times {10}^{-5 } {\mathrm{m}}^2$ under a given load. What is the ratio of
the Young’s modulus of steel to that of copper?

The figure below shows the strain-stress curve for a given material. What is Young’s modulus for the given material?
 

Figure below shows the strain-stress curve for a given material. What is approximate yield strength for this material?