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Question

Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal conductivity. The first and third plates are maintained at temperatures 2T and 3T respectively. The temperature of the middle (i.e. second) plate under steady state condition is

A
(97)14T
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B
(974)14T
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C
(652)14T
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D
(972)14T
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Solution

The correct option is D (972)14T
At equilibrium,
Heat absorbed = Heat radiated

A(3T)4+A(2T)4=2AT04

T0=(972)1/4T

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