The coefficient of linear expansion of an inhomogeneous rod changes linearly from α1 to α2 from one end to the other end of the rod. The effective coefficient of linear expansion of rod is
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a
α1+α2
b
α1+α22
c
α1α2
d
α1−α2
answer is B.
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Detailed Solution
The effective value of α at a distance x from the left end isαx=α1+α2−α1LxΔL=∫0L αxdxΔtL=α1+α22LΔTαeff =α1+α22