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For Beta Geese, what is the given luminosity value in the example problem?
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3.1 × 10³¹ W
What is the value of the Stefan-Boltzmann constant (σ)?
5.67 × 10⁻⁸ W/m² K⁴
What step follows measuring the radiant flux intensity and λ_max in estimating stellar radii?
Use Wien's Displacement Law to estimate the temperature (T).
What is the procedure to estimate the radius of a star using given maximum intensity and luminosity values?
First, use Wien's Law to find the temperature. Then, use the Stefan-Boltzmann Equation to solve for radius.
How do you calculate the temperature of a star using Wien's Displacement Law?
λ_max ∝ 1 / T
What is the Stefan-Boltzmann law equation that relates intensity and temperature?
I = σ T^4
How is luminosity (L) related to intensity (I) and the radius (R) of a star?
I = L / 4 π R^2
What is the calculated temperature (T₂) for Beta Geese in the example problem?
3410 K
In the example problem, what is the given maximum intensity wavelength of Beta Geese?
850 nm
What is the hypothesis regarding the relationship between star size, intensity, and temperature?
Larger radius stars have higher intensity and temperature.
How is the surface area of a spherical star calculated?
A = 4 π R^2
What equation is used to estimate the radius of a star using luminosity and temperature?
R = √(L / 4 π σ T^4)
What is the given surface temperature of a black body with maximum intensity at 1450 nm?
2000 K
Why is the understanding of the temperature to estimate the size of stars important in astrophysics?
It allows scientists to estimate distances and sizes of stars, advancing our understanding of the universe.
Define intensity (I) in the context of electromagnetic radiation.
Intensity is the power per unit area, measured in W/m².
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