Question

Figure shows the strain-stress curve for a given material. The Young's modulus of the material is

• A. $5\times {10}^{9}N{m}^{-2}$
• B. $5\times {10}^{10}N{m}^{-2}$
• C. $7.5\times {10}^{9}N{m}^{-2}$
• D. $7.5\times {10}^{10}N{m}^{-2}$

Answer 1

Answer: (D)

$7.5\times {10}^{10}N{m}^{-2}$

From the given graph for a stress of $150\times {10}^{6}N$ $m^{-2}$ when strain is $0.002$
$\therefore$ Young's modulus $Y=\frac{stress}{strain}$
$Y=\frac{150\times {10}^6}{0.002}N{m}^{-2}=7.5\times {10}^{10}N{m}^{-2}$