Question

By measuring the spectrum of wavelengths of light from a star, we know that its surface temperature is 5700 K. By measuring the rate at which we receive its energy on Earth, we know that it is radiating a total of 3.91×10^26 J/s and behaves nearly like an ideal blackbody. Use this information to calculate the diameter of the star.

Name: by measuring the spectrum of wavelengths of light from a star we know that its surface temperature is 5700 k by measuring the rate at which we receive its energy on earth we know that it is 72358
Uploaded: 2023-07-23T03:22:26-08:00
Duration: 1 min 26 s
Channel: Narayan Hari
Description: by measuring the spectrum of wavelengths of light from a star we know that its surface temperature is 5700 k by measuring the rate at which we receive its energy on earth we know that it is 72358

          By measuring the spectrum of wavelengths of light from a star, we know that its surface temperature is 5700 K. By measuring the rate at which we receive its energy on Earth, we know that it is radiating a total of 3.91×10^26 J/s and behaves nearly like an ideal blackbody. Use this information to calculate the diameter of the star.

by measuring the spectrum of wavelengths of light from a star we know that its surface temperature is 5700 k by measuring the rate at which we receive its energy on earth we know that it is 72358

Added by Stephanie P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Narayan Hari

07/23/2023

Step 1

The Stefan-Boltzmann law states that the total energy radiated by a blackbody is proportional to the fourth power of its temperature. Mathematically, it can be expressed as: E = σ * A * T^4 where E is the total energy radiated, σ is the Stefan-Boltzmann Show more…

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By measuring the spectrum of wavelengths of light from a star, we know that its surface temperature is 5700 K. By measuring the rate at which we receive its energy on Earth, we know that it is radiating a total of 3.91×10^26 J/s and behaves nearly like an ideal blackbody. Use this information to calculate the diameter of the star.