# Question bab69

Apr 13, 2017

Because they are inversely proportional.

#### Explanation:

$\Delta L = {L}_{0} \alpha \Delta T$

$\therefore$ $\alpha \Delta T = \frac{\Delta L}{{L}_{0}}$

$\therefore$ Strain = $\alpha \Delta T$

Since, Y = Stress / Strain

Where Strain = Change in length / original length

$\therefore$ $Y = \frac{F}{\alpha \Delta T A}$

$\alpha$ is constant for a particular material, keeping $A$ and $F$ also constant we get,

 Y prop 1/(∆T)#

$\therefore$ If there's an increase in temperature, the Young's Modulus will decrease.