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Question

What will be the increase in length of a steel rod of length 0.5m, when its temperature is increased by 60C? The coefficient of linear expansion of steel is 0.000013C1.
  1. 0.019cm
  2. 0.045cm
  3. 0.015cm
  4. 0.039cm


Solution

The correct option is D 0.039cm
Given, initial length of the rod, l1=0.5m, change in temperature, ΔT=60C, and coefficient of linear expansion, α=0.000013 C1
Let change in length be Δl
Using the relation, 
Δl=α×l1×ΔT  =0.000013×0.5×60 =0.00039m=0.039 cm
Therefore, increase in length is 0.039cm

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