The solar constant for a planet is S. The surface temperature of the sun is T K. The sun subtends an small angle θ at the planet. Find S . [Note: Solar constant is rate at which radiations are receive

Question

The solar constant for a planet is S. The surface temperature of the sun is T K. The sun subtends an small angle θ at the planet. Find S . [Note: Solar constant is rate at which radiations are received from sun per unit surface area]

TestHub · Accepted Answer

tan θ /2 = R Rs ​ ​ tan θ /2 ≃ θ /2 = R R s ​ ​ [ R R s ​ = θ /2 ] ​ 4 π R 2 σ ( 4 π R s 2 ) T 4 ​ = S ​ S = σ ( R R s ​ ) 2 T 4 ​ S = σ ( 4 θ 2 ​ ) T 4 ​ S = 4 σ T 4 θ 2 ​ ​

Physics - Heat & Thermo Question with Solution | TestHub

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