Volume Strain

Q.

A material has poissons ratio $0.50$. If a uniform rod of it suffers a longitudinal strain of $2\times {10}^{-3}$, then the percentage change in volume is

Q. The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about 1.1 × 10⁸ Pa. A steel ball of initial volume 0.32 m3 is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?

Q. A body submerged in water experiences which of the following types of strain?

1. Longitudinal strain
2. Shear strain
3. Volumetric strain
4. None of these

Q. Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 × 10⁶ Pa.

Q. How much should the pressure on a litre of water be changed to compress it by 0.10%?

Q. Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.