The coefficient of linear expansion of an inhomogeneous rod changes linearly from alpha1 to alpha2 from one end to the other end of the rod. The effective coefficient of linear expansion of the rod is
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Answer:
Effective coefficient of linear expansion of the rod is (α1 + α2) / 2.
Step-by-step explanation:
Given details:
Expansion of inhomogeneous rod is linear.
Coefficient of linear expansion at one end of the rod is α1.
Coefficient of linear expansion at the other end of the rod is α2.
Solution:
The effective coefficient of linear expansion of the rod is given by the average of the above two values. (i.e.) (α1 + α2) / 2.
Additional information:
When temperature changes, the length of a solid rod changes linearly. This is known as linear thermal expansion.
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