'A' is a steel rod of length IA and 'B' a copper rod of length lB. Values of lA and lB such that lA -lB = 5 cm at all temperatures, are :(Given αCu=1.7×10-5/C o,αsteel=1.1×10-5/C o)

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21.4 cm, 16.4 cm

10.8 cm, 5.8 cm

14.2 cm, 9.2 cm

32.4 cm, 27.4 cm

answer is C.

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Detailed Solution

lA'-lB' =lA(1+αA∆T)-lB(1+αB∆T)=constant ⇒ lAαA=lBαB ⇒ 11lA=17lB Also lA-lB=5 So lA=14.2 cm and lB =9.2 cm

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