c) What is its bolometric absolute magnitude if its bolometric correction is equal to -0.30 ? d) Determine by which factor its total luminosity (bolometric) is larger than that of the Sun.

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Could you do Question 1 c and d  please?  Thank you 

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Assignment on magnitudes and angular sizes
1- Consider the star Vega that has an apparent visual magnitude of 0.00.
a) How much brighter is it than the faintest object you can see with your naked eyes?
b) What is its absolute visual magnitude if it is located at 25.3 ly from us?
c) What is its bolometric absolute magnitude if its bolometric correction is equal to −0.30 ?
d) Determine by which factor its total luminosity (bolometric) is larger than that of the Sun.
2- A binary system is composed of a star A with LA = 200 Lo and a star B with LB = 100 Le
(where both luminosities are bolometric and where Lo stands for the sun's luminosity).
a) At what distance is this binary system if mA (bolometric) = 1.50? [hint: you should find
MA (bolometric) first and make the approximation that dsystem d₁ = dB )]
b) Calculate the difference between the apparent bolometric magnitudes of stars A and B.
c) Knowing that all the luminosities and magnitudes mentioned above were bolometric, what
is the ratio of the stars visual brightnesses if star A has a bolometric correction of -0.10
and star B has a bolometric correction of -0.60 ?
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.
Transcribed Image Text:wwwwwwwwww Assignment on magnitudes and angular sizes 1- Consider the star Vega that has an apparent visual magnitude of 0.00. a) How much brighter is it than the faintest object you can see with your naked eyes? b) What is its absolute visual magnitude if it is located at 25.3 ly from us? c) What is its bolometric absolute magnitude if its bolometric correction is equal to −0.30 ? d) Determine by which factor its total luminosity (bolometric) is larger than that of the Sun. 2- A binary system is composed of a star A with LA = 200 Lo and a star B with LB = 100 Le (where both luminosities are bolometric and where Lo stands for the sun's luminosity). a) At what distance is this binary system if mA (bolometric) = 1.50? [hint: you should find MA (bolometric) first and make the approximation that dsystem d₁ = dB )] b) Calculate the difference between the apparent bolometric magnitudes of stars A and B. c) Knowing that all the luminosities and magnitudes mentioned above were bolometric, what is the ratio of the stars visual brightnesses if star A has a bolometric correction of -0.10 and star B has a bolometric correction of -0.60 ? 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.
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