Physics Elasticity Question 59

Question: The Young’s modulus of a wire is Y.If the energy per unit volume is E, then the strain will be

Options:

A) $ \sqrt{\frac{2E}{Y}} $

B) $ \sqrt{2EY} $

C) EY

D) $ \frac{E}{Y} $

Show Answer

Answer:

Correct Answer: A

Solution:

Energy per unit volume $ =\frac{1}{2}\times r\times {{(\text{strain)}}^{r}} $

$ \

Therefore r=\sqrt{\frac{rE}{Y}} $