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The lengths of two metallic rods at temperatures $θ$ are $L_{A} and L_{B}$ and their linear coefficient of expansion are $α_{A} and α_{B}$ respectively. If the difference in their lengths is to remain constant at any temperature then

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LALB = αAαB

LALB = αBαA

αA = αB

αAαB = 1

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detailed solution

Correct option is B

Change in LA = change in LBi.e., ∆LA = LB⇒ αA∆TLA = αB∆TLBor αALA = αBLB

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The lengths of two metallic rods at temperatures θ are LA and LB and their linear coefficient of expansion are αA and αB respectively. If the difference in their lengths is to remain constant at any temperature then

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Ready to Test Your Skills?

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The lengths of two metallic rods at temperatures $θ$ are $L_{A} and L_{B}$ and their linear coefficient of expansion are $α_{A} and α_{B}$ respectively. If the difference in their lengths is to remain constant at any temperature then