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.
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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.
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- Finally estimate the lifetime of an M0 spectral type star if the total mass of the star is M = 0.51M⊙ , and it has a total luminosity L = 7.7× 10−2L⊙. Make the same assumptions as the previous two problems. How does your calculated Main Sequence lifetime for the M0 type star compare to the Main Sequence lifetime you calculated for the Sun?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.What is the life expectancy (in years) of a 10 M⊙ main-sequence star? What is the life expectancy (in years) of a 70 M⊙ main-sequence star?
- 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.Calculate the luminosity of the star with an apparent magnitude of 2. Given the Sun has an apparent magnitude of -26.57 and 3.9 × 1026 W luminosity.Consider two stars on the main sequence, A and B. Star A has a mass of 4 M⊙. Star B has a mass of 0.8 M⊙. By what factor is the luminosity of star A greater than the luminosity of star B?
- A star is listed in a catalog as being a type G2V.a) What is the star’s spectral class?b) What is the star’s luminosity class?c) What is the peak color of the star?d) Name an example of a star that has this type.The a star system contains two stars, one with apparent magnitude m = 10.5 and the other with m = 10.9. What is the combined apparent magnitude of the two stars?Question 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