The ratio of the linear expansivity of copper to that of iron is approximately 1.5. A specimen of iron and…

JAMB 1980

The ratio of the linear expansivity of copper to that of iron is approximately 1.5. A specimen of iron and a specimen of copper expands by the same amount per unit rise in temperature. The ratio of their length is

A. 3

B. 1.5

C. 1.32

D. 1

E. 0.67

Correct Answer: Option E

Explanation

If α1 is the linear expansivity of copper

And α2 is the linear expansivity of iron

L1 —> length of copper

L2 —> length of iron

α1L1 = α2L2

L1/L2 = α2/α1

Since α1/α2 = 1.5

α2/α1 = 1/1.5

L1/L2 = 0.67

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