Question

Derive an expression for the surface temperature of the sun, in terms only of its solid angle, its flux per unit wavelength fλ(λ1) at earth at one wavelength λ1, and fundamental constants.

Answer 1

To derive an expression for the surface temperature of the sun, we can use the Stefan-Boltzmann law, which states that the power radiated by a black body is proportional to the fourth power of its temperature.

Step-by-step explanation:

To derive an expression for the surface temperature of the sun, we can use the Stefan-Boltzmann law, which states that the power radiated by a black body is proportional to the fourth power of its temperature. The power radiated per unit area is given by the equation P = σT^4, where P is the power, σ is the Stefan-Boltzmann constant, and T is the temperature. Solving for T:

T = (P/σ)^(1/4)

Since we want to express the temperature in terms of solid angle and flux per unit wavelength, we need to relate the power radiated by the sun to these quantities.

Unfortunately, the given information does not provide the necessary data to directly derive the expression for the surface temperature of the sun in terms of solid angle, flux per unit wavelength, and fundamental constants.