If the RR Lyrae stars in a globular cluster have average apparent magnitudes of +11, how far away (in pc) is the cluster? (Hints: See the following figure, and use the magnitude-distance formula: d = 10(mv - Mv+5)/5.) -7 Туре (classical) Cepheids -5 104 103 Туре I Cepheids 102 RR Lyrae stars Absolute magnitude Luminosity, L/L

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If the RR Lyrae stars in a globular cluster have average apparent magnitudes of +11, how far away (in pc) is the cluster? (Hints: See the following figure,
and use the magnitude-distance formula: d
10(mv - Myt5)/5.)
-7
-6
Туре
(classical)
Cepheids
-5
104
103
Турe II
Cepheids
-1
102
RR Lyrae stars
0.3
1
10
30
100
Pulsation period (days)
pc
Luminosity, L/ L
Absolute magnitude
Transcribed Image Text:If the RR Lyrae stars in a globular cluster have average apparent magnitudes of +11, how far away (in pc) is the cluster? (Hints: See the following figure, and use the magnitude-distance formula: d 10(mv - Myt5)/5.) -7 -6 Туре (classical) Cepheids -5 104 103 Турe II Cepheids -1 102 RR Lyrae stars 0.3 1 10 30 100 Pulsation period (days) pc Luminosity, L/ L Absolute magnitude
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