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Question

The coefficient of linear expansion of brass and steel are α1 and α2. If we take a brass rod of length L1 and steel rod of length L2 at 0C, their difference in length (L2L1) will remain the same at any temperature if

A
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C
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D
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Solution

The correct option is D
Difference in lengths of rods will remain same if expansion is same in both the rods. If expansion in first rod is l1=L1α1Δθ and expansion in second rod is l2=L2α2Δθ then L1α1Δθ=L2α2Δθ L1α1=L2α2

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