Questions
The sun having surface temperature radiates like a blackbody. The radius of sun is and Earth is at a distance R from the centre of sun. Earth absorbs radiation falling on its surface from sun only and is at constant temperature T. If radiation falling on Earth’s surface is almost parallel and Earth also radiates like a blackbody, then
detailed solution
Correct option is A
[Step 1]: Energy absorbed per unit time by earth’s surface, if its radius is r, is[Step 2]: Qabs=σ4πRS2TS44πR2×πr2∵solar constant ,S=P4πb2⇒S=4πa2σT4s4πb2 [Step 3]: Energy radiated per unit time by earth’s surface, Qrad=σ(4πr2)T4[Concept]: Qabs=Qrad[Step 4]: ⇒T4=Ts44Rs2R2[Step 5]: T=TsRs 2RSimilar Questions
The radiation emitted by a star A is 10000 times that of the sun. If the surface temperatures of the sun and star A are 6000 K and 2000 K, respectively, the ratio of the radii of the star A and the sun is
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