Properties Of Solids And Liquids Question 397

Question: If α,β and γ are coefficient of linear, area and volume expansion respectively, then

Options:

A) γ=3α

B) α=3γ

C) β=3α

D) γ=3β

Show Answer

Answer:

Correct Answer: A

Solution:

[a] V+ΔV=(L+ΔL)3=(L+αLΔT)3

=L3+(1+3αΔT+3α2ΔT2+α3ΔT3)

α2 and α3 terms are neglected. V(l+γΔT)=V(1+3αΔT)

l+γΔT=l+3αΔTγ=3α. .



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