Which statement is true for a metal?

$A$ material has a Poisson's ratio $0.5$. If a uniform rod of this material suffers a longitudinal strain of $2 \times 10^{-3}$,then the percentage change in its volume is

The Poisson's ratio cannot have the value:

Which of the following relations is true for the elastic moduli of a material?

When a wire of length $10 \ m$ is subjected to a force of $100 \ N$ along its length,the lateral strain produced is $0.01 \times 10^{-3} \ m$. The Poisson's ratio was found to be $0.4$. If the area of cross-section of the wire is $0.025 \ m^2$,its Young's modulus is:

Which of the following relations is true?