Coefficient of linear expansion of brass and steel rods are α 1 and α 2 . Lengths of brass and steel rods…

Coefficient of linear expansion of brass and steel rods are α1 and α2. Lengths of brass and steel rods are l1 and l2, respectively. If l2-l1 is maintained the same at all temperatures, which one of the following relations holds good?
  1. α1l2=α22l1
  2. α1l22=α2l12
  3. α12l2=α22l1
  4. α1l1=α2l2

Solution

The difference in length is the same, so the increase in length is equal,

l1=l2

l1α1T=l2α2T

l1α1=l2α2.

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Asked in: NEET 2016 (Phase 1)

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