The temperature θ at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as top and bottom temperatures θ1, and θ2 (as shown in figure) is given by :

1
\(\frac{{{{\rm{\theta }}_{\rm{1}}}{{\rm{R}}_{\rm{2}}}{\rm{ + }}{{\rm{\theta }}_{\rm{2}}}{{\rm{R}}_{\rm{1}}}}}{{{{\rm{R}}_{\rm{1}}}{\rm{ + }}{{\rm{R}}_{\rm{2}}}}}\)
2
\(\frac{{{{\rm{\theta }}_{\rm{1}}}{{\rm{R}}_{\rm{1}}}{\rm{ + }}{{\rm{\theta }}_{\rm{2}}}{{\rm{R}}_{\rm{2}}}}}{{{{\rm{R}}_{\rm{1}}}{\rm{ + }}{{\rm{R}}_{\rm{2}}}}}\)
3
\(\frac{{{{\rm{\theta }}_{\rm{1}}}{{\rm{R}}_{\rm{2}}}{\rm{ - }}{{\rm{\theta }}_{\rm{2}}}{{\rm{R}}_{\rm{1}}}}}{{{{\rm{R}}_2}{\rm{ - }}{{\rm{R}}_1}}}\)
4
\(\frac{{{{\rm{\theta }}_{\rm{2}}}{{\rm{R}}_{\rm{2}}}{\rm{ - }}{{\rm{\theta }}_{\rm{1}}}{{\rm{R}}_{\rm{1}}}}}{{{{\rm{R}}_2}{\rm{ - }}{{\rm{R}}_1}}}\)
5
Not Attempted

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