A steel rod of length 0.5 km is used in the construction of a bridge. It has to withstand a temperature change of $40^{\circ} C$ . The gap that is allowed for its expansion is :
$(α = 10^{- 6} /^{\circ} C)$

0.02cm

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0.02mm

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20 mm

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Solution

The correct option is D 20 mm
We know, $α = d l / (l d t)$
or, $d l = α l d t$
$d l = (10^{- 6}) (500) (40)$
$d l = 20 X 10^{- 3} m$
$d l = 20 m m$

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