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Consider a black sphere of radius R at temperature T which radiates to distant black surrounding at zero kelvin. The temperature of black sphere always remains T. Now surround the sphere with a nearby heat shield in the form of a thin black shell whose temperature is determined by radioactive equilibrium. Now choose CORRECT statement(s)

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At equilibrium temperature of thin black shell is T

The heat shield reduces the total power loss to surrounding by system to half of initial value.

There is no change in power loss to surrounding by the system.

At equilibrium temperature of thin black shell is $\frac{T}{{(2)}^{1 / 4}}$

answer is A, C.

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$J - J_{1} = J_{1} \Rightarrow J_{1} = \frac{J}{2} \Rightarrow T_{1}^{4} = \frac{T^{4}}{2} \Rightarrow T_{1} = \frac{T}{{(2)}^{1 / 4}}$

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