A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of incr

Question

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 : ($\alpha_{Cu} = 1.7 	imes 10^{-5}$ K$^{-1}$ and $\alpha_{Al} = 2.2 	imes 10^{-5}$ K$^{-1}$)

Accepted Answer

$\alpha_{Cu}L_{Cu} = \alpha_{Al}L_{Al}$. $1.7 	imes 10^{-5} 	imes 88$ cm $= 2.2 	imes 10^{-5} 	imes L_{Al}$. $L_{Al} = \frac{1.7 	imes 88}{2.2} = 68$ cm

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