Absolute Visual Magnitude of Stars

[Jimbob999]

Homework Statement

The Sun has an absolute visual magnitude of about 4.8 and a particular star has an absolute visual magnitude of –0.29. How many times more luminous is this star than the Sun, assuming these stars have similar spectral types and hence colours?

a) 100 times
b) 125 times
c) 150 times
d) 175 times
e) 200 times

Homework Equations

Luminosity of Star 1/ Luminosity of Star 2 = (100^1/5)^M2-M1
Where M1 and M2 are the abolute magnitudes

The Attempt at a Solution

[/B]
2.51^(4.81--0.29)
= 109 times more luminous

I am just wondering whether I have calculated correctly, given my answer is closest to a) but nearly crossing over to b)

 

[gneill]

Your calculations appear to be okay to me (although you've used 4.81 rather than the given 4.8 for the Sun's absolute magnitude, a minor quibble that doesn't significantly impact your query).