4. By measuring the spectrum of wavelengths of light from the sun, we know that its surface temperature is 5800 K. By measuring the rate at which we receive its energy on earth, we know that it is radiating a total of 3.92 × 10^26 J/s and behaves nearly like an ideal blackbody. Use this information to calculate the sun's diameter. 1.39 × 10^9 m 2.09 × 10^8 m 2.17 × 10^7 m 4.23 × 10^8 m
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92 * 10^26 J/s), σ is the Stefan-Boltzmann constant (5.67 * 10^-8 W/m^2K^4), and T is the temperature of the sun's surface (5800 K). Show more…
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How large is the sun? By measuring the spectrum of wavelengths of light from our sun, we know that its surface temperature is $5800 \mathrm{~K}$. By measuring the rate at which we receive its energy on carth, we know that it is radiating a total of $3.92 \times 10^{26} \mathrm{~J} / \mathrm{s}$ and behaves nearly like an ideal blackbody. Use this information to calculate the diameter of our sun.
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