HW #8 Solutions
•Question 1    If interstellar dust makes and RR Lyrae star look 1 magnitude fainter than it should, by how much will we overestimate its distance?
a.1.6 times   b.3.2 times   c.1600 times   d.5.2 times   e.Actually we will underestimate its distance.   
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•Distance equations: m – M = -5 + 5log(d) and d = 10 (m-M+5)/5
where distance is in parsecs
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•True distance = 10 (m-M+5)/5 if no dust.
•Dusty distance = 10 (m+1-M+5)/5
•Dusty distance/True Distance = 10 (m-M+6)/5 / 10 (m-M+5)/5
•  = 10 (m-M+6)/5 – (m-M+5)/5
•  = 10 6/5 – 5/5
•  = 10 1.2-1
•  = 10 0.2
•  = 1.6
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