Figure shows a metal rod of uniform cross section A, with variable thermal conductivity given by k(x)=k_(0) sec((pi)/(6L)x). If the end A is maintained at temperature T_(0), the rod carries a thermal current I_(0) (from B to A) in steady state and (I_(0)L)/(k_(0)AT_(0))=(pi)/3, find the temperature of the end B of the rod. Let's say this temperature is k T_(0), find integer value k.

Figure shows a metal rod of uniform cross section A, with variable the

1.	Figure shows a metal rod of uniform cross section A, with variable thermal conductivity given by k(x)=k_(0) sec((pi)/(6L)x). If the end A is maintained at temperature T_(0), the rod carries a thermal current I_(0) (from B to A) in steady state and (I_(0)L)/(k_(0)AT_(0))=(pi)/3, find the temperature of the end B of the rod. Let's say this temperature is k T_(0), find integer value k.
Answer» Solution :`I_(0)=(k_(0)A)/(COS((PI)/(6L)X)DX)` `impliesT=T_(0)+(6I_(0)L)/(pik_(0)A)sin((pi)/(6Lx))` `impliesT=2T_(0)` at `x=L`

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