A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10−5 K−1 and αAl = 2.2 × 10−5 K−1)

Correct Answer: A — 68 cmKey Concept: For two rods to have equal increase in length (ΔL) for the same change in temperature (ΔT), the product L × α must be equal for both rods.Formula: ΔL = L × α × ΔTFor ΔL to be the same: LCu × αCu = LAl × αAlStep-by-step Solution:Given: LCu = 88 cm, αCu = 1.7 × 10−5 K−1, αAl = 2.2 × 10−5 K−1LAl = LCu × (αCu/αAl) = 88 × (1.7/2.2) = 88 × (17/22) = 4 × 17 = 68 cm

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A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10−5 K−1 and αAl = 2.2 × 10−5 K−1)

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A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10−5 K−1 and αAl = 2.2 × 10−5 K−1)

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