NEET2016PhysicsThermal Properties of MatterActual
Coefficient of linear expansion of brass and steel rods are α 1 and α 2 . Lengths of brass and steel rods are l 1 and l 2 , respectively. If l 2 - l 1 is maintained the same at all temperatures, which one of the following relations holds good?
Options
- Aα 1 l 2 = α 2 2 l 1
- Bα 1 l 2 2 = α 2 l 1 2
- Cα 1 2 l 2 = α 2 2 l 1
- Dα 1 l 1 = α 2 l 2
Correct answer
D. α 1 l 1 = α 2 l 2
Step-by-step solution
The difference in length is the same, so the increase in length is equal, ∆ l 1 = ∆ l 2 l 1 α 1 ∆ T = l 2 α 2 ∆ T ⇒ l 1 α 1 = l 2 α 2 .