Concept explainers
To Estimate: The ratio of diameters of two stars.
Explanation of Solution
Given:
Spectra of star 1 peaks at
Spectra of star 2 peaks at
Formula Used:
As per Wein’s displacement law:
As per Stefan’s Boltzmann law:
Here, L is the luminosity, R is the radius and T is the temperature.
Calculations:
From Wein’s displacement law,
From HR diagram, the luminosity corresponding to temperature can be estimated.
Corresponding to
Then, Stefan’s Boltzmann law can be used to estimate the ratio of diameters of stars.
Conclusion:
Thus, the approximate ration of the diameter of two stars is 0.5.
Chapter 33 Solutions
Physics: Principles with Applications
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