Volume Strain

Q. A material has Poisson's ratio $0.5$. If a uniform rod made of the material suffers a longitudinal strain of $2\times {10}^{-3}$, what is the percentage increase in volume?

1. $2\%$
2. $4\%$
3. $0\%$
4. $5\%$

Q. Find the volumetric strain of the spherical ball of radius $10\text{cm}$ whose volume changes by $4.18\times {10}^{-6}{\text{m}}^3$ under the application of bulk stresses.

1. $1.0$
2. $0.1$
3. $0.01$
4. $0.001$