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 aluminum rod is:

Cu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)

(A) 88 cm 

(B) 68 cm 

(C) 6.8 cm

(D) 1 13.9 cm


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(B) 68 cm

LCu αCu ∆T = LAl αAl ∆T

∴ 88 × (1.7 × 10-5) = LAl(2.2 × 10-5)

∴ LAl \(\frac{88\times1.7}{2.2}\)

∴ LAl = 68 cm