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A rod of length 40 cm has the coefficient of linear expansion $α_{1} = 6 \times 10^{- 6} / {}^{o}C$ . The other rod has coefficient of linear expansion, $α_{2} = 4 \times 10^{- 6} / {}^{o}C$ . If the difference in their lengths at all temperatures remains the same, the length of the other rod is:

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detailed solution

Correct option is C

l1-l2 =constant ⇒ l1α1=l2 α2 ⇒l2=α1α2 l1=60 cm

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A rod of length 40 cm has the coefficient of linear expansion α1=6×10-6/C o. The other rod has coefficient of linear expansion, α2=4×10-6/C o. If the difference in their lengths at all temperatures remains the same, the length of the other rod is:

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A rod of length 40 cm has the coefficient of linear expansion $α_{1} = 6 \times 10^{- 6} / {}^{o}C$ . The other rod has coefficient of linear expansion, $α_{2} = 4 \times 10^{- 6} / {}^{o}C$ . If the difference in their lengths at all temperatures remains the same, the length of the other rod is: