Question

The apparent brightness of an object is calculated as: apparent brightness = luminosity4π×distance2 If one knew the luminosity and apparent brightness of a star that was too distant for a parallax measurement, what would be the best approach to determining its distance?

Answer 1

Answer:

$Distance=\sqrt{\frac{Luminosity 4\pi }{App Brightness} }$

Explanation:

The formula for apparent brightness is given by the next inequation:

$B=\frac{L}{4\pi d^{2} }$

Where B equals apparent brightnes, L equals luminosity and D equals distance.

SO we just have to clear distance from the formula and are left with the inequation to calculate distance:

$Distance=\sqrt{\frac{Luminosity 4\pi }{App Brightness} }$