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Astrophysics & Cosmology FAQ

Which formula gives the luminosity–temperature relation for stars?

Stefan–Boltzmann law (L = 4πR²σT⁴). A star's luminosity L = 4πR²σT⁴ from the Stefan–Boltzmann law, connecting radius and surface temperature to total output.

Short Answer

Stefan–Boltzmann law (L = 4πR²σT⁴) is the best answer.

Astrophysics questions often combine observation with first-principles physics. The winning move is to connect the measurement being made, such as luminosity, spectrum, redshift, or orbit, to the physical model behind it.

A star's luminosity L = 4πR²σT⁴ from the Stefan–Boltzmann law, connecting radius and surface temperature to total output.

Why This Answer Is Correct

This is a Medium-level question in Astrophysics & Cosmology. The prompt is really testing whether you can connect the concept to its defining physical relationship instead of picking a nearby-but-wrong term.

Good astrophysics reasoning always asks what the telescope actually measured and what physical quantity that measurement traces.

Choices At A Glance

  • A. Wien's law
  • B. Stefan–Boltzmann law (L = 4πR²σT⁴)
  • C. Hubble's law
  • D. Chandrasekhar limit

When similar options appear on an exam, eliminate the ones that break the core law, use the wrong units, or confuse a definition with a consequence.

Topic Snapshot

Topic: Astrophysics & Cosmology

Difficulty: Medium

Best next move: Re-state the governing law in your own words, then solve one more example from the same topic before moving on.