13) Calculate the luminosity in watts from the absolute magnitude for the given stars: (b) Sirius (M = 1.41)
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- The luminosity of a star or an astronomical object is defined as the energy radiated per unit of time by the object.
- The absolute magnitude which defines how bright the object will look if it was at a distance of 10 pc is a measure of the luminosity of the object.
- The relationship between luminosity and absolute magnitude is given by,
Here L is the luminosity of the star and L0 is the zero-point luminosity and has a value of 3.0128 × 1028 W.
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- 7) Calculate the luminosity of a star that has a radius of 4.2Rsumn and a temperature of 5T su Sun1. Sirius A has an apparent magnitude of 4.72, determine its luminosity.3- Consider a binary star system in which the two stars are seen to be 1.50" apart. Determine the actual physical separation of those stars (in AU) if this binary system is located 9.50 1.y. from us.
- 33) A star is observed to be having an absolute magnitude of -5.6 and is located at a distance of 159.96 pc. Estimate the apparent magnitude(a) Estimate the Eddington luminosity of a 0.072 M, star and compare your answer to the main-sequence luminosity given in Problem 21. Assume k = 0.001 m² kg¯'. Is radia- tion pressure likely to be significant in the stability of a low-mass main-sequence star? (b) If a 120 Mo star forms with log1o T. = 4.727 and log1o(L/Lo) = 6.252, estimate its Eddington luminosity. Compare your answer with the actual luminosity of the star.8) A neutron star is found with a radius of 10 km and has a surface temperature of 1,000,000 K. Calculate its luminosity with respect to that of the Sun. nts)