Question

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

• A. $5\times10^{9} \,N$ $m^{-2}$
• B. $5\times10^{10} N$ $m^{-2}$
• C. $7.5\times10^{9} N$ $m^{-2}$
• D. $7.5\times10^{10} N$ $m^{-2}$

Answer 1

Answer: (D)

From the given graph for a stress of $150\times10^{6} N$ $m^{-2}$ the strain is $0.002.$
$\therefore \quad$ Young’s modulus $Y=\frac{Stress}{Strain}$
$Y=\frac{150\times10^{6}}{0.002} N$ $m^{-2}$ $=7.5\times10^{10} N$ $m^{-2}$