Three very large plates of same area are kept parallel and close to...

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Three very large plates of same area are kept parallel and close to each other. They are considered as ideal
\( \mathrm{P} \) black surfaces and have very high thermal conductivity. The first and third plates are maintained
W. at temperatures \( 2 T \) and \( 3 T \) respectively. The temperature of the middle (i.e. second) plate under steady state condition is
(1) \( \left(\frac{65}{2}\right)^{\frac{1}{4}} T \)
(2) \( \left(\frac{97}{4}\right)^{\frac{1}{4}} T \)
(3) \( \left(\frac{97}{2}\right)^{\frac{1}{4}} T \)
(4) \( (97)^{\frac{1}{4}} T \)
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