help me out yaar

JEE Advanced 2015 Questions › Thermal physics questions › help me out yaar

A long rod has one end at 0Â°c and other end at a high temperature. The coefficient of thermal conductivity varies with distance as K=K₀(1+aX) where K₀=10²SI unit and a=1m^-1.At what distance from d 1st end d temp. will b 100Â°C? the area of cross section is 1cm² and rate of heat conduction is 1W.

#Physics #Thermal physics

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2 Answers

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utd4ever ·2010-04-02 08:13:44

ans is e-1 ... is it correct??

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utd4ever ·2010-04-02 08:22:35

dQdt= -KAdTdx
in this equation put k=K₀(1+aX) given dQdt=1 we get dx1+ax= -K_oAdT
Integrate this from o to l and o to 1oo
we get l=e-1 that is 1.7

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