Question

The increase in length on stretching a wire is 0.05%. If its Poisson's ratio is 0.2, then its diameter

• A. Reduce by $0.02\%$
• B. Reduce by $0.01\%$
• C. Increases by $0.02\%$
• D. Decrease by $0.4\%$

Answer 1

The correct option is B Reduce by $0.01\%$

Poisson’s ratio $\frac{Lateralstrain}{Longitudinalstrain}$
$\therefore$ Lateral strain $=0.2\times 0.05\%$
So reduced by $0.01\%$.