The total radiant energy per unit area, normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature TK is given by
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a
σr2T4R2
b
σr2T44πr2
c
σr4T4r4
d
4πσr2T4R2
answer is A.
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Detailed Solution
If r is the radius of the star and T its temperature, then the energy emitted by the star per second through radiation in accordance with Stefan's law will be given byAσT4 = 4πr2σT4 4πR2x =4πr2σT4 ⇒ x=σr2T4R2