EP WEBASSIGN FOR SEEDS/BACKMAN'S FOUNDA
EP WEBASSIGN FOR SEEDS/BACKMAN'S FOUNDA
14th Edition
ISBN: 9780357113325
Author: Seeds
Publisher: CENGAGE CO
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Chapter 9, Problem 13P
To determine

The ratio of the luminosities.

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An O8 V star has an apparent visual magnitude of +5. Use the method of spectroscopic parallax to estimate the distance to the star (in pc). (Hints: Refer to one of the H–R diagrams in the chapter, and use the magnitude–distance formula, d = 10(mV − MV + 5)/5 where d is the distance in parsecs, mV and MV are the apparent and absolute visual magnitude respectively.)
Using the HR diagram, what is the approximate range of relative luminosities covered for a main sequence star at 10 000 K? Would this star be most like Rigel or Sirius?
For the PP chain 0.7% of the mass participating in nuclear fusion is liberated as energy which produces a star's luminosity. Assume that the core of a main sequence star consists of 10% of its total mass. Hence, estimate the lifetime of a star on the main sequence in terms of its luminosity L/L. Give your answer in years. You may use the observed mass-luminosity relation L x M³.5, where M is the star's total mass. Using typical values, calculate estimates for the main sequence lifetime of a KO star and a 05 star. Describe briefly why your estimate might be more accurate for K stars compared to O stars.
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