A circular hole of diameter 2.00 cm is made in an aluminium plate at 0°C. What will be the diameter at 100°C? α for Aluminium .

2.0046cm

Explanation:


Given


Initial temperature of plate is 0°C


Final temperature of plate is 100°C


Diameter at 0°C, D0 is 0.02m


Coefficient of linear expansion, α is 2.3×10-5 °C-1


Temperature change from 0°C, θ is 100


Formula used


The relation between the diameter at a certain temperature with respect to that of a reference temperature can be written similar to the case of linear expansion.


, where


Dt=Diameter at temperature t


D0=Diameter at 0°C


α=Coefficient of linear expansion=2.3×10-5 °C-1


θ=Temperature change from 0°C=100


Hence, for 100°C, the diameter



(Ans.)


The final diameter will be 2.0046 cm


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