The total luminosity of a binary pair is 3.5x1028 Watt. What is its absolute magnitude? Round your answer to two significant figures.
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- f a star has a luminosity of 4*10^26 Watts and a brightness of 1.4*10^3W/m2, how far away is it?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.Suppose a protostar has a luminosity of 39,473 L⊙ and a surface temperature of 4,130 K (Kelvins). What is the radius of this protostar? [Enter your answer as a multiple of the Sun's radius. I.e., if you find R = 20 R⊙ , enter 20. This problem is easier if you start with the relevant equation and create a ratio using the Sun's values. Recall that the Sun has a surface temperature of 5778 K. ]
- 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 AnswersWhich of the following most correctly explains why we have not yet observed any white dwarfs derived from M stars: Group of answer choices Most M stars end up as neutron stars or black holes. The lifetime of M stars is longer than the age of the universe. Most M stars are located near the edge of the universe, beyond the visible horizon. Most M stars are members of a binary system, and the white dwarf would be obscured by the glare of the more massive companion. White dwarfs are too dim to be observed with currently available techniques.What is the lifetime of a 10-solar-mass star on the main sequence? a. 3.2 × 107 years b. 320 years c. 3.2 × 1012 years d. 1 × 109 years e. 1 × 1011 years