The ratio of the coefficient of linear expansion of two metals ∝1/∝2 is 3:4. If, when heated through the same temperature change, the ratio of the increase ...

Assessment: JAMB UTME - Physics - 2007 Subject: Physics

Question 1 Report

The ratio of the coefficient of linear expansion of two metals ∝1/∝2 is 3:4. If, when heated through the same temperature change, the ratio of the increase in length of the two metals, e1/e2 is 1:2, the ratio of the original lengths l1/l2 is
Answer Details
Ratio of their linear expansion = ∝1/∝2= 3:4.
When heated to the same temperature range, the ratio of their increase in length e1/e2 = 1:2
But the increase in length of
1 = e1 = ∝1l1Δθ and increase i length of
2 = e2 = ∝2l2Δθ
=> e1 = ∝1l1Δθ = ∝1l1 = 1
e2 ∝2l2Δθ ∝2l2 2
But ∝1 = 3 , ∴ 3 x l1 = 1
∝2 4 4 l2 2

=> 6l1 = 4l2
∴ l1 = 4 = 2 OR 2 : 3
l2 6 3

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