Wave Mechanics Question 517

Question: The Poisson’s ratio of a material is 0.5. If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by 4%. The percentage increase in the length is:

Options:

A) 1%

B) 2%

C) 2.5%

D) 4%

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ \frac{\Delta r/r}{\Delta l/l}=0.5=\frac{1}{2},\frac{\Delta r}{r}=\frac{1}{2}\frac{\Delta l}{l} $