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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.