The elastic energy stored per unit volume in a stretched wire is

Question

The elastic energy stored per unit volume in a stretched wire is (A)  (1/2) (Young's modulus) (Strain)2 (B)  (1/2) (Stress) (Strain) 2 (C)  (1/2)( textStress/ textStrain)  (D)  (1/2) (Young modulus) (Stress)

Tardigrade Admin · Accepted Answer

The energy stored in per unit volume of wire (UV)=(1/2) (F l/ text volume )=(1/2) × stress × strain =(1/2) × Y ×( text strain )2=(1/2 Y)( text stress )2

Q. The elastic energy stored per unit volume in a stretched wire is

$\frac{1}{2}$ (Young's modulus) (Strain) $^{2}$

$\frac{1}{2}$ (Stress) (Strain) $^{2}$

$\frac{1}{2} \frac{Stress}{Strain}$

$\frac{1}{2}$ (Young modulus) (Stress)

The energy stored in per unit volume of wire
$(U_{V}) = \frac{1}{2} \frac{Fl}{volume} = \frac{1}{2} \times$ stress $\times$ strain
$= \frac{1}{2} \times Y \times (strain)^{2} = \frac{1}{2 Y} (stress)^{2}$

Q. The elastic energy stored per unit volume in a stretched wire is

21​ (Young's modulus) (Strain)2

21​ (Stress) (Strain) 2

21​StrainStress​

21​ (Young modulus) (Stress)

The energy stored in per unit volume of wire (UV​)=21​ volume Fl​=21​× stress × strain =21​×Y×( strain )2=2Y1​( stress )2

$\frac{1}{2}$ (Young's modulus) (Strain) $^{2}$

$\frac{1}{2}$ (Stress) (Strain) $^{2}$

$\frac{1}{2} \frac{Stress}{Strain}$

$\frac{1}{2}$ (Young modulus) (Stress)

The energy stored in per unit volume of wire
$(U_{V}) = \frac{1}{2} \frac{Fl}{volume} = \frac{1}{2} \times$ stress $\times$ strain
$= \frac{1}{2} \times Y \times (strain)^{2} = \frac{1}{2 Y} (stress)^{2}$