Question

Explain how we estimate the effective surface temperature of the Sun.

Answer 1

Answer on Question #66790, Physics / Astronomy | Astrophysics

Explain how we estimate the effective surface temperature of the Sun.

Solution:

Sun emits light. We believe that the Sun is absolutely black body.

Wien's displacement law:

$$\lambda_{\max} = \frac{b}{T} (1),$$

where $\lambda_{\max}$ is peaks at the wavelength, T is the absolute temperature in kelvins, b is a Wien's displacement constant ($b = 2.897 \times 10^{-3} \, \text{m} \times \text{K}$)

The human eye is most sensitive for peaks at the wavelength: $\lambda_{\max} = 555 \times 10^{-9} \, \text{m}$

Of (1) $\Rightarrow T = \frac{b}{\lambda_{\max}}$ (2)

Of (2) $\Rightarrow T = 5300 \, \text{K}$

Answer:

5300 K

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