The ratio of the coefficient of linear expansion of two metals âˆ1/âˆ[sub]2[/sub] is 3:4. If, when heated through the same temperature change, the ratio of the increase in length of the two metals, e1/e[sub]2[/sub] is 1:2, the ratio of the original lengths l1/l[sub]2[/sub] is
A.8/3 B.3/2 C.2/3 D.3/8
Correct Answer: C
Explanation
Ratio of their linear expansion = âˆ1/âˆ[sub]2[/sub]= 3:4. When heated to the same temperature range, the ratio of their increase in length e1/e[sub]2[/sub] = 1:2 But the increase in length of 1 = e1 = âˆ1l1Δθ and increase i length of 2 = e2 = âˆ2l2Δθ