You need to choose between two metals for an engineering des

You need to choose between two metals for an engineering design that requires a high modulus of elasticity. Below are the interatomic force versus spacing curves for these two metals. Identify the metal you would choose and explain why.

Solution

The sol is as follows

Relation between Young\'s modulus and interatomic force,

Y = \\frac{dF}{dr}\\frac{r_0}{A}

where F is the interatomic force

dF/dr is the slope of the graph given.

slope of the graph for Metal A is greater than the slope of the graph for Metal B.

(dF/dr)A > (dF/dr)B

So Young\'s modulus for metal A will be greater than the Young\'s modulus of Metal B, since the interatomic distance at which interatomic distance reaches maximum is same.

YA > YB .