Answer :

Here, we apply Pythagoras theorem to find x in terms of L.

From the figure, it is clear that




As, ΔL2 is a very small quantity, we can neglect it.



(here, we multiply and divide 2 in the numerator and denominator)


We know,




Here,


αsteel = 1.2× 10-5 /°C and ΔT = 20 °C. Therefore,



So, the displacement is about 11 cm.


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