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Two rods of lengths l₁ and l₂ are made of materials whose coefficients of linear expansions are $α_{1}$ and $α_{2}$ . If the difference between two lengths is independent of temperature.

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l1l2=α1α2

l1I2=α2α1

l22α1=l12α2

α12l1=α22l2

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detailed solution

Correct option is B

Δl1=Δl2or l11+α1T=l21+α2T∴ l1−l2=l2α2−l1α1TSince l1−b2is independent of temperature and hencel2α2−l1α1=0 or l1l2=α2α1

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Two rods of lengths l1 and l2 are made of materials whose coefficients of linear expansions are α1 and α2. If the difference between two lengths is independent of temperature.

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Ready to Test Your Skills?

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Two rods of lengths l₁ and l₂ are made of materials whose coefficients of linear expansions are $α_{1}$ and $α_{2}$ . If the difference between two lengths is independent of temperature.