Question 32 Consider three Main Sequence stars, an O star, an F star and a K star, each with an apparent magnitude of 2. Which star is the most luminous? They're all the same luminosity. O The O star O The F star O The K star Question 33 Consider three Main Sequence stars, an O star, an F star and a K star, each with an apparent magnitude of 2. Which star appears the brightest in the night sky? O The O star O The F star O The K star O They all appear the same.
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- Suppose a star has a luminosity of 7.0x1026 watts and an apparent brightness of 4.0x10-12 watt/m?. How far away is it? Give your answer in both kilometers and light-years.A main sequence star of mass 25 M⊙has a luminosity of approximately 80,000 L⊙. a. At what rate DOES MASS VANISH as H is fused to He in the star’s core? Note: When we say “mass vanish '' what we really mean is “gets converted into energy and leaves the star as light”. Note: approximate answer: 3.55 E14 kg/s b. At what rate is H converted into He? To do this you need to take into account that for every kg of hydrogen burned, only 0.7% gets converted into energy while the rest turns into helium. Approximate answer = 5E16 kg/s c. Assuming that only the 10% of the star’s mass in the central regions will get hot enough for fusion, calculate the main sequence lifetime of the star. Put your answer in years, and compare it to the lifetime of the Sun. It should be much, much shorter. Approximate answer: 30 million years.Betelgeuse is a nearby supergiant that will eventually explode into a supernova. Let's see how awesome it would look. At peak brightness, the supernova will have a luminosity of about 10 billion times the Sun. It is 600 light-years away. All stellar brightnesses are compared with Vega, which has an intrinsic luminosity of about 60 times the Sun, a distance of 25 light-years, an absolute magnitude of 0.6 and an apparent magnitude of 0 (by definition). a) At peak brightness, how many times brighter will Betelgeuse be than Vega? b) Approximately what apparent magnitude does this correspond to? c) The Sun is about -26.5 apparent magnitude. What fraction of the Sun's brightness will Betelgeuse be?
- An eclipsing binary will a. be more luminous than a visual binary. b. always be a spectroscopic binary. c. give off most of its light in the infrared. d. show a constant Doppler shift in its spectral lines. e. show two stars with variable proper motion.The star Procyon A has an apparent magnitude of 0.38 and an absolute magnitude of 2.66 while the star Ross 128 has an apparent magnitude of 11.1 and an absolute magnitude of 13.5. Which star emits more energy? A. Procyon A O B. Ross 128 O C. They emit pretty much the same energy. D. There is insufficient information to tell.Question A4 a) A star has a temperature T = 15000K, mass M = 0.25M and luminosity L = 0.02L. Sketch the position of this star on the Hertzsprung-Russell diagram relative to the main sequence. b) Using the given properties of the star, derive expressions for the star's radius R and mean density p. Calculate values for these in units of R. and kg m-³, respectively. c) Starting from the equation for hydrostatic equilibrium, derive an approximate expression for the central pressure Pc of the star in terms of its density p and radius R, assuming uniform ρ density. d) Assuming that the star is made of ordinary gas material such as the Sun, calculate an estimate of the central temperature of the star. From this value and the luminosity, briefly explain what can be inferred about the nuclear processes in the star. Discuss very briefly why your estimate for the central temperature may be too large.
- 12. A star with spectral type MO has a surface temperature of 3750 K and a radius of 0.63 Rsun: How many times more luminous is this star than the Sun? (if it is less luminous enter a number less than one) Answer: Submit All Answers Last Answer: 0.0923 Incorrect, tries 1/5. Hint: Use the Luminosity equation, which says that L is proportional to R^2 T^4. If you keep these as ratios compared to the sun, your L will also come out as a ratio compared to the Sun. This star has a mass of 0.4 Msun- Using the simple approximation that we made in class, what is the main sequence lifetime of this star? You may assume that the lifetime of the sun is 1010 yr. Answer: Submit All Answers Compare this to the lifetime of a MO star listed in Table 22.1 (computed using a more sophisticated approach). Is the value you calculated in the previous problem longer or shorter than what is reported in the table? (L for longer, S for shorter) (You only get one try at this problem.) Answer: Submit All AnswersQuestion 41 .Suppose you are looking at H-R diagrams of two similar star clusters. The most luminous main sequence stars in the Porcini cluster are much more luminous than the most luminous main sequence stars in the Morel cluster. What can you conclude? O the Porcini cluster is younger than the Morel cluster O the Porcini cluster is farther away than the Morel cluster O the Porcini cluster is lower in metallicity than the Morel cluster O the Porcini cluster is larger in diameter than the Morel cluster