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Questions  

Two rods of lengths L1 and L2 are made of materials whose coefficient of linear expansion are α1and α2. If the difference between the two lengths is independent of temperature :

a
(L1/L2)=(α1/α2)
b
(L1/L2)=(α2/α1)
c
L12α1=L22α2
d
α12 L1=α22 L2

detailed solution

Correct option is B

L2'-L'1=L2-L1 ⇒ L2(1+α2∆T)-L1(1+α1∆T)=L2-L1 ⇒                        (L2α2-L1α1)∆T=0 ⇒                                    L1L2=α2α1

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