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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
( $α$ _Cu = 1.7 x 10^-5K^-1 and $α$ _Al = 2.2 x 10^-5K^-1)

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68 cm

88 cm

6.8 cm

113.9 cm

answer is B.

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Detailed Solution

$α_{C_{u}} L_{C_{u}} = α_{Al} L_{Al}$
1.7 x 10^-5 x 88cm = 2.2 x 10^-5 x L_AI
$L_{Al} = \frac{1.7 x 88}{2.2} = 68 cm$

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