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

Question

Figure shows the strain-stress curve for a given material. The Young’s modulus of the material is (A) 5×109 N m-2 (B) 5×1010 N m-2 (C) 7.5×109 N m-2 (D) 7.5×1010 N m-2

Tardigrade Admin · Accepted Answer

From the given graph for a stress of 150×106 N m-2 the strain is 0.002. ∴ Youngâs modulus Y=(Stress/Strain) Y=(150×106/0.002) N m-2 =7.5×1010 N m-2

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

$5 \times 1 0^{9} N$ $m^{- 2}$

$5 \times 1 0^{10} N$ $m^{- 2}$

$7.5 \times 1 0^{9} N$ $m^{- 2}$

$7.5 \times 1 0^{10} N$ $m^{- 2}$

From the given graph for a stress of $150 \times 1 0^{6} N$ $m^{- 2}$ the strain is $0.002.$
$∴$ Young’s modulus $Y = \frac{St ress}{St r ain}$
$Y = \frac{150 \times 1 0 ^{6}}{0.002} N$ $m^{- 2}$ $= 7.5 \times 1 0^{10} N$ $m^{- 2}$

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

5×109N m−2

5×1010N m−2

7.5×109N m−2

7.5×1010N m−2

From the given graph for a stress of 150×106N m−2 the strain is 0.002. ∴ Young’s modulus Y=StrainStress​ Y=0.002150×106​N m−2 =7.5×1010N m−2

$5 \times 1 0^{9} N$ $m^{- 2}$

$5 \times 1 0^{10} N$ $m^{- 2}$

$7.5 \times 1 0^{9} N$ $m^{- 2}$

$7.5 \times 1 0^{10} N$ $m^{- 2}$

From the given graph for a stress of $150 \times 1 0^{6} N$ $m^{- 2}$ the strain is $0.002.$
$∴$ Young’s modulus $Y = \frac{St ress}{St r ain}$
$Y = \frac{150 \times 1 0 ^{6}}{0.002} N$ $m^{- 2}$ $= 7.5 \times 1 0^{10} N$ $m^{- 2}$