If the RR Lyrae stars in a globular cluster have average apparent magnitudes of +19, how far away (in pc) is the cluster? (Hints: See the following figure, and use the magnitude-distance formula: d = 10(my- My+5)/5.) Туре (classical) Cepheids -5 104 103 Type II Cepheids 102 RR Lyrae stars 0.3 10 30 100 Pulsation period (days) pc Luminosity, L/ L opny ubewu onjosqv
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- If the RR lyrae stars in a globular cluster have average apparent magnitudes of +15, how far away (in pc) is the cluster? (Hint: See the following figure, and use the magnitude-distance formula: d=10(Mv-Mv+5)/5The RR Lyrae stars in a globular cluster have apparent magnitudes of 14. Assuming an absolute visual magnitude of 0.5, calculate how far away is the cluster (in parsecs)? (Hint: Use the Magnitude-Distance Formula: ?=10(??−??+55))Shown are three main sequence stars. Each one is a different size, but the color is not shown. Rank from longest to shortest the total amount of time it was a protostar before it was a main sequence star. A ? O Longest AC B Shortest O Longest BCA Shortest O Longest A B C Shortest B ? ? C All the stars would be a protostar for the same amount of time
- Which statement is most logical? a First stars are thought to have been more massive than Sun because the materials used to make clouds were more abundant at the beginning b First stars are thought to have been more massive than Sun because the temperatures of the clouds that made them were higher because they consisted entirely of hydrogen and helium c First stars are thought to have been more massive than Sun because star-forming clouds were much denser early in time d First stars are thought to have been more massive than Sun because the clouds that made them were much more massiveIf an open cluster contains 650 stars and is 27 pc in diameter, what is the average distance between the stars? (Hint: On average, what share of the volume of the cluster surrounds each star?)A star with a trigonometric parallax of .02 arcseconds has a distance of O2.0 light years. 50 pc. 4 kpc. 20 pc. O need more information (magnitudes)
- If an open cluster contains 350 stars and is 48 pc in diameter, what is the average distance between the stars? On average what, share of the volume of the cluster surrounds each star?Can you please help with Part 2 of 2? Thank you.What is the total mass of a visual binary system if the average separation of the stars is 7.1 AU and their orbital period is 12 years?
- In the star clusters shown, which one is younger and why?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. ]Identify the location in the H-R diagram of the phases of stellar evolution. (For each statement select the proper symbol in the picture.) 1) red giant, helium flash2) white dwarf3) red giant with helium burning shell4) hydrogen fusion in shell around core5) helium fusion in core6) envelope ejected, planetary nebula7) main-sequence star8) helium used up, core collapses9) hydrogen used up, core collapses