A material has normal density $\rho$ and bulk modulus $K$. The increase in the density of the material when it is subjected to an external pressure $P$ from all sides is

A rubber rope of length $8 \mathrm{m}$ is hung from the ceiling of a room. What is the increase in length of the rope due to its own weight ? (Given Young's modulus of elasticity of rubber = $5 \times {10}^6 \mathrm{N}{\mathrm{m}}^{-2}$ and density of rubber = $1.5\times {10}^6 \mathrm{k}\mathrm{g}{\mathrm{m}}^{-3}.\mathrm{ }$
(Take $g=10 \mathrm{m}{\mathrm{s}}^{-2})$

A thick rope of density $\rho$ and length $L$ is hung from a rigid support. The increase in length of the rope due to its own weight is $(\mathrm{Y}$ is Young's modulus) 

In the figure shown, forces of equal magnitude are applied to the two ends of a uniform rod. Consider $A$ as the cross-sectional area of the rod. For this situation, mark out the incorrect statements.