Two rods having thermal conductivities in the ratio of 5 : 3 and having equal length and equal cross-section are joined by face to face(series combination). If the temperature of free end of first rod is 100ºC and the free end of second rod is 20ºC, then temperature of the junction, is
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In the steady state, the rate of flow of heat in both the conductors will be the same. Taking the two conductors with same cross-section area. 
, joined in series, with same length 
Let 
be heat flow through this combination and 
is temperature of common surface. In steady state rate of flow of heat is same hence,
Given 
,
and 
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