The Young’s modulus of a metal is 2×1012 dyne/cm2 and its breaking stress is 11000 kg/cm2. In case of longitudinal strain the maximum energy that can be stored per cubic metre of this metal is approximately (Assume g = 10 m/s2)

Question

The Young’s modulus of a metal is 2×1012 dyne/cm2 and its breaking stress is 11000 kg/cm2. In case of longitudinal strain the maximum energy that can be stored per cubic metre of this metal is approximately (Assume g = 10 m/s2) (A) 58.28 × 105 J (B) 30.25 × 105 J (C) 37.15 × 105 J (D) 15.15 × 105 J

Tardigrade Admin · Accepted Answer

Energy density, (dU/dV) =((stress)2/2Y) Where stress =(11000g/10-4)N/ m2

Q. The Young’s modulus of a metal is $2 \times 1 0^{12}$ dyne/cm $^{2}$ and its breaking stress is 11000 kg/cm $^{2}$ . In case of longitudinal strain the maximum energy that can be stored per cubic metre of this metal is approximately (Assume g = 10 m/s $^{2}$ )

58.28 × 10 $^{5}$ J

30.25 × 10 $^{5}$ J

37.15 × 10 $^{5}$ J

15.15 × 10 $^{5}$ J

$E n er g y d e n s i t y, \frac{d U}{d V} = \frac{( s t ress ) ^{2}}{2 Y}$
$Wh ere s t ress = \frac{11000 g}{1 0 ^{- 4}} N / m^{2}$

Q. The Young’s modulus of a metal is 2×1012 dyne/cm2 and its breaking stress is 11000 kg/cm2. In case of longitudinal strain the maximum energy that can be stored per cubic metre of this metal is approximately (Assume g = 10 m/s2)

58.28 × 105J

30.25 × 105 J

37.15 × 105 J

15.15 × 105 J