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Two rods of lengths $l_{1} a n d l_{2}$ are made of materials whose coefficients of linear expansion are $α_{1} a n d α_{2}$ respectively. If the difference between the two lengths is independent of temperature, then

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l1l2=α2α1

l12α2=l22α1

l1l2=α1α2

l1α22=l2α12

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detailed solution

Correct option is A

l1'=l1(1+α1t) l2'=l2(1+α2t) l1'-l2'=l1-l2+(l1α1-l2α2)t l1α1= l2α2For the difference to be independent of temperature

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

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Ready to Test Your Skills?

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Two rods of lengths $l_{1} a n d l_{2}$ are made of materials whose coefficients of linear expansion are $α_{1} a n d α_{2}$ respectively. If the difference between the two lengths is independent of temperature, then