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

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

A

5×109Nm−25 \times 10^{9}Nm^{- 2}

B

5×1010Nm−25 \times 10^{10}Nm^{- 2}

C

7.5×109Nm−27.5 \times 10^{9}Nm^{- 2}

D

7.5×1010Nm−27.5 \times 10^{10}Nm^{- 2}

Answer

7.5×1010Nm−27.5 \times 10^{10}Nm^{- 2}

Explanation

Solution

: From the given graph for a stress of

150×1016Nm−2150 \times 10^{16}Nm^{- 2}the strain in 0.002.

∴Young′smodulusY=StressStrain\therefore Young's{mod}ulusY = \frac{Stress}{Strain}

Y=150×1060.002Nm−2=7.5×1010Nm−2Y = \frac{150 \times 10^{6}}{0.002}Nm^{- 2} = 7.5 \times 10^{10}Nm^{- 2}