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Answer 1 · 2017-04-13T14:00:34

Because they are inversely proportional.

$Delta L = L_0 alpha Delta T$

$:.$ $alpha Delta T = (Delta L) / (L_0)$

$:.$ Strain = $alpha Delta T$

Since, Y = Stress / Strain

Where Strain = Change in length / original length

$:.$ $Y = F / (alpha Delta T A)$

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

$Y prop 1/(∆T)$

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