Why Is Longitudinal Strain Zero for a Heated Copper Rod on a Smooth Surface?

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Homework Statement


A copper rod of length l_0 at 0 C is placed on a smooth surface.Now the rod is heated up to 100 C.FIND THE LONGITUDINAL STRAIN DEVELOPED ?

The Attempt at a Solution


What I did :
strain = delta l/ l_0
= l_0 alpha(coefficient of linear expansion) delta T/l_0
=100 alpha

but surprisingly the answer is zero and the solution says since the "SURFACE IS SMOOTH".
I have no clue why or how it works?
 
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