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How can I calculate the temperature of the Sun?

Answer 1

Charles Aeschliman

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Answer 2

Isabella Alvarez

To calculate the temperature of the Sun, you can use Wien's Law:

[ T = \frac{b}{\lambda_{\text{max}}} ]

where (T) is the temperature, (b) is Wien's displacement constant ((2.898 \times 10^{-3} , \text{m} \cdot \text{K})), and (\lambda_{\text{max}}) is the wavelength at which the intensity of the radiation is maximized. For the Sun, (\lambda_{\text{max}}) is approximately 502 nm.

[ T = \frac{2.898 \times 10^{-3} , \text{m} \cdot \text{K}}{502 \times 10^{-9} , \text{m}} ]

[ T \approx 5778 , \text{K} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.