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Question

A copper rod of length 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of the aluminium rod is
(αCu = 1.7×105 K1 and αAl = 2.2×105 K1)

A
6.8 cm
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B
113.9 cm
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C
88 cm
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D
68 cm
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Solution

The correct option is D 68 cm
Since, the elongation is same for both the rods,
(Δl)Cu = (Δl)AllCuαCuΔT = lAlαAlΔT88×1.7×105 =l2×2.2×105lAl = 68 cm

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