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Two rods of different materials will have same different in lengths at all temperatures if they have same expansions then , given(α1,α2 are coefficient of linear expansions; l1,l2 are lengths of rods)

a
l2α2=l2α1
b
l1α1=l2α2
c
l1α1>l2α2
d
l1α2

detailed solution

Correct option is B

given ∆l1=∆l2  (difference in lengths is same) ⇒l1α1∆t=l2α2∆t  ( given at all temperature) ⇒l1α1=l2α2

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The coefficient of linear expansion of brass and steel are α1 and α2. If we take a brass rod of length l1 and steel rod of length l2 at 0oC, their difference in length l2l1will remain the same at all temperatures if 


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