Question

The increase in length on stretching a wire is $0.05\%$. If its Poisson's ratio is 0.4, then its diameter

• A. Reduce by $0.02\%$
• B. Reduce by $0.1\%$
• C. Increase by $0.02\%$
• D. Decrease by $0.4\%$

Answer 1

The correct option is A Reduce by $0.02\%$

Poisson’s ratio $=\frac{Lateralstrain}{Longitudinalstrain}\therefore Lateralstrain=0.4\times \frac{0.05}{100}$
So reduced by $0.02\%.$