NEET | 2016Basic Maths and Units and DimensionsHard

Question

Coefficient of linear expansion of brass and steel rods are α1 and α2. Lengths of brass and steel rods are 𝑙1 and 𝑙2 respectively. If (𝑙2 - 𝑙1) is maintained same at all temperatures, which one of the following relationsholds good?

Options

A.

α12l2=α22l1

B.

α1l22 = α2l21

C.

α12l2 = α22l1

D.

α1l1 = α2l2

Solution

Difference in length are same so increase in length are equal
∆l1 =∆ l2
l1α2∆T = l2α2∆T
⇒l1α1 = l2α2

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