Two identical heaters are coated with paint in 1st case `e_(1)=1.0` and in 2nd case `e_(2)=0.5` Both are kept in identical chambers which are in similar surroundings if the heaters are switched on In steady state 1st heater has temperature `T_(1)` on surface and `theta_(1)` of its chamber 2nd heater has temperature `T_(2)` on surface and `theta_(2)` of its chamber.

Options

A. `theta_(1)=theta_(2) T_(1)leT_(2)`
B. `theta_(1)getheta_(2),T_(1)=T_(2)`
C. `theta_(1)=theta_(2),T_(1)geT_(2)`
D. `theta_(1)letheta_(2),T_(1)=T_(2)`

Answer

A

Explanation

for chamber `(dQ)/(dt)=k(theta_(1)-theta_(0))=k(theta_(2)-theta_(0))Rightarrowtheta_(1)=theta_(2)`
for heater `(dQ)/(dt)=e_(1)Asigma(T_(1)^(4)-theta_(1)^(4))=e_(2)Asigma(T_(2)^(4)-theta_(2)^(4))`
`e_(1)gee_(2)RightarrowT_(1)leT_(2)`