Two rods of length l λ 1 and l λ 2 are made of materials whose coefficients of linear expansion are α α 1 and α α 2 . If the difference between two lengths is independent of temperature then,
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
L 1 = l λ 1 [1 + α α 1 Δ Δ T]
L 2 = l λ 2 [1 + α α 2 Δ Δ T]
L 1 – L 2 = ( l λ 1 - l λ 2 ) + ( Δ Δ T) ( l λ 1 α α 1 - l λ 2 α α 2 )
If L 1 – L 2 is to be independent of Δ Δ T
Then l λ 1 α α 1 - l λ 2 α α 2 = 0 ⇒ ⇒ 
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