Concept explainers
Relative sizes of two stars.
Answer to Problem 17P
Star with lower wavelength is 0.15 times in diameter as compared to the other star.
Explanation of Solution
Given:
Distance between star and Earth is same in each case that is
Wavelength of first star is
The ratio of their apparent brightness is 0.091.
Formula used:
The Stefan-Boltzmann equation is
Calculation:
To find the size, relationship between temperatures is found using Wien’s law
Now, using relation of absolute luminosity to deduce a relation between their sizes
Now, introducing concept of Stefan-Boltzmann equation in the above equation,
Therefore,
Conclusion:
Thus, star with the wavelength
Chapter 33 Solutions
Physics: Principles with Applications
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