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4 July, 23:00

A star has an apparent magnitude of 6.5 and an absolute magnitude of - 0.8. What is the distance to the star?

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  1. 5 July, 01:12
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    Answer: 288.4 pc

    Explanation:

    The apparent magnitude and absolute magnitude of star are related as:

    m = M + 5 log d - 5

    where, m is the apparent magnitude from the Earth and M is the absolute magnitude (The magnitude of star if it is at 10 pc distance away from Earth) of the star. Then, d is the actual distance of star in parsecs (pc).

    m = 6.5

    M = - 0.8

    d = ?

    ⇒ 6.5 = - 0.8 + 5 log d - 5

    ⇒ 12.3 = 5 log d

    ⇒ 2.46 = log d

    ⇒ d = anti-log (2.46) = 288.4 pc

    Hence, the star is 288.4 pc away from Earth.
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