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
(alpha_1)L1 = (alpha_2)L2
(frac{L_1}{L_2}) = (frac{alpha_1}{1.5alpha_2}) (since a1– 1.5(alpha_2))
(frac{L_1}{L_2}) = 0.67