A spherical black body of radius r at absolute temperature T is surrounded by a thin spherical and concentric shell of radius R, black on both sides. Show that the factor by which this radiation shield reduces the rate of the cooling body is given by the following expression: aR^2/(R^2+br^2), and find the numerical coefficients and a and b.

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A spherical black body of radius r at absolute temperature T is surrounded by a thin spherical and concentric shell of radius R, black on both sides. Show that the factor by which this radiation shield reduces the rate of the cooling body is given by the following expression: aR^2/(R^2+br^2), and find the numerical coefficients and a and b.

2. A spherical black body of radius r at absolute temperature T is surrounded by a thin spherical and
concentric shell of radius R, black on both sides. Show that the factor by which this radiation shield
reduces the rate of the cooling body is given by the following expression: aR?/(R2+br²), and find the
numerical coefficients and a and b.
Transcribed Image Text:2. A spherical black body of radius r at absolute temperature T is surrounded by a thin spherical and concentric shell of radius R, black on both sides. Show that the factor by which this radiation shield reduces the rate of the cooling body is given by the following expression: aR?/(R2+br²), and find the numerical coefficients and a and b.
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