Prove that the ratio of constant of linear expansion, areal expansion and volume expansion is 1:2:3

Prove that the ratio of constant of linear expansion, areal expansion

1.	Prove that the ratio of constant of linear expansion, areal expansion and volume expansion is 1:2:3
Answer» We know that γ=3α\xa0and β=2α ⟹\xa0α:β:γ=1:2:3 Co-efficient of lineas expansion = d Co-lefficient of area sigma*n = betaco-efficient of Volume expansion : 8 ?We know,beta = 2alpha y = 3alpha.. Therefore ration of d: B: 8 21:2:3 We know that γ=3α\xa0and β=2α⟹\xa0α:β:γ=1:2:3