Q.

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-1and αAl=2.2×10-5 K-1

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Detailed Solution

As per question, ΔlCu=ΔlAl or,  lCuαCuΔT=lAlαAlΔT lAl=lCuαCuαAl=88×1.7×10-52.2×10-5=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-1and αAl=2.2×10-5 K-1