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Our Sun has a peak emission wavelength of about 500 nm and a radius of about 700,000 km. Your dark-adapted eye has a pupil diameter of about 7 mm and can detect light intensity down to about 1.5 x 10-11 W/m2. Assume the emissivity of the Sun is equal to 1. First, given these numbers, what is the surface temperature of the Sun in Kelvin to 3 significant digits

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The surface temperature of the Sun in Kelvin to 3 significant digits is 0.127 K.

Surface temperature of the Sun

The surface temperature of the sun is determined by using the following equations as shown below;

P/A = σT⁴

I = σT⁴

where;

  • I is intensity of the light = 1.5 x 10⁻¹¹ W/m²
  • σ is Boltzmann constant =  5.67 x 10⁻⁸ W/m²K⁴

T⁴ = I/σ

T⁴ = (1.5 x 10⁻¹¹)/ (5.67 x 10⁻⁸)

T⁴ = 2.65 x 10⁻⁴

T = (2.65 x 10⁻⁴)^¹/₄

T = 0.127 K

Thus, the surface temperature of the Sun in Kelvin to 3 significant digits is 0.127 K.

Learn more about surface temperature here: https://brainly.com/question/9093294

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