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Question

Two metal rods A and B are having their initial lengths in the ratio 2:3 and coefficients of linear expansion in the ratio 3:4. When they are heated through the same temperature difference, the ratio of their linear expansion is :


A
1:2
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B
2:3
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C
3:4
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D
4:3
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Solution

The correct option is A 1:2
We know, $$dl = l \times  \alpha \times dt$$
$$dl_1/dl_2 = (l_1/l_2)(\alpha_1 / \alpha_2)= (2/3) (3/4) = 1/2$$

Physics

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