Question

The increase in length of a wire on stretching is 0.025% If its poisson ratio is 0.4, then the percentage decrease in the diameter is :

• A. 0.01
• B. 0.02
• C. 0.03
• D. 0.04

Answer 1

The correct option is A 0.01

$\text{poisson ratio}=0.4=\frac{\frac{\Delta d}{d}}{\frac{\Delta l}{d}}$

Where d is length of diameter

$\frac{\Delta d}{d}=0.4\times \frac{\Delta l}{l}=0.4\times 0,025\%=0.01\%$