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Power radiated by the sun at t°C = σ(t + 273)⁴4πr². Power received by a unit surface = σ(t + 273)⁴4πr² / 4πR² = p²σ(t + 273)⁴ / R².

1. Power radiated by the sun at t°C = σ(t + 273)⁴4πr².
2. Power received by a unit surface = σ(t + 273)⁴4πr² / 4πR².
3. Power received by a unit surface = p²σ(t + 273)⁴ / R².
4. None of the above.

Correct answer: Power received by a unit surface = σ(t + 273)⁴4πr² / 4πR².

Solution

The power received by a unit surface is derived by dividing the total power radiated by the sun by the surface area of a sphere with radius equal to the distance from the sun. This matches option B.

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