-
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 same at all temperatures, which one of the following relations holds good ?
-
- α1l22 = α2l12
- α1l2 = α2l1
- α1l2 = α2l1
- α1l1 = α2l2
Correct Option: D
From question, (l2 – l1) is maintained same at all temperatures hence change in length for both rods should be same
i.e., ∆l1 = ∆l2
As we know, coefficient of linear expansion,
| α = | ||
| l0∆T |
l1α1∆T = l2α2∆T
l1α1 = l2α2
