First slide

Elastic Modulie

Question

In a wire stretched by hanging a weight from its end, the elastic potential energy per unit volume in terms of the longitudinal strain $σ$ and modulus of elasticity Y is

Easy

A

${Yσ}^{2} / 2$
B

$Yσ / 2$
C

$2 {Yσ}^{2} / 2$
D

$Y^{2} σ / 2$

Solution

Elastic potential energy per unit volume
$= \frac{1}{2} \times stress \times strain$
$= \frac{1}{2} \times [Young' smodulus \times strain] \times strain$
$= \frac{1}{2} \times Y \times σ^{2} = \frac{{Yσ}^{2}}{2}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App