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in Properties of Bulk Matter by (20 points)
A power source of power \( P \) is placed at centre of a spherical shell of radius \( R \). Temperature of surface of shell is \( T_{0} \). Now shell is covered by another shell of radius \( 2 R \), and as a result temperature of inner shell in steady state becomes \( T_{1} \). Considering all bodies to behave like a black body, then (1) \( T_{0}=\left(\frac{P}{4 \pi R^{2} \sigma}\right)^{\frac{1}{4}} \) (2) \( T_{0}=\frac{1}{2}\left(\frac{P}{4 \pi R^{2} \sigma}\right)^{\frac{1}{4}} \) (3) \( I_{1}=\left(\frac{P}{2 \pi R^{2} \sigma}\right)^{\frac{1}{4}} \) (4) \( T_{1}=\left(\frac{P}{\pi R^{2} \sigma}\right)^{\frac{1}{4}} \)

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