Two perfectly black parallel plates A and B of equal area facing each other are maintained at constant temperatures T A and T B ( T A T B ). 99 perfectly black and conducting identical scree

Question

Two perfectly black parallel plates A and B of equal area facing each other are maintained at constant temperatures $T_{A}$ and $T_{B}$ ( $T_{A} > T_{B}$ ). 99 perfectly black and conducting identical screens of the same area as the plates are introduced between A and B, parallel to each other, having equal space between them. Once thermal equilibrium is reached, choose the INCORRECT statements:

(Take $σ (T_{A}^{4} - T_{B}^{4}) = 5000 W / m^{2}$ ; Ignore convection)

TestHub · Accepted Answer

q net, f ′′ ​ = σ ( T A 4 ​ − T 1 4 ​ ) = σ ( T 1 2 ​ − T 2 2 ​ ) … = σ ( T n − 1 4 ​ − T n 4 ​ ) = σ ( T n 4 ​ − T B 4 ​ ) ​ ⇒ σ ( T A 4 ​ − T B 4 ​ ) = ( n + 1 ) q net , f ′′ ​ ⇒ q net , f ′′ ​ = ( nH ) σ ​ ( T A 4 ​ − T B 4 ​ ) ​ ⇒ q net , i ′′ ​ q net , f ′′ ​ ​ = n + 1 1 ​ ​

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Options:(select one or more)

Doubts & Discussion

JEE Advanced (2028)