Question

What is the absolute magnitude of the star at a distance d=100 pc, if its apparent visual magnitude is mV = 11, and the visual extinction AV= 6 mag?

Answer 1

The absolute magnitude of the star is 6, calculated by adjusting the apparent visual magnitude for distance and visual extinction using the distance modulus formula.

Step-by-step explanation:

To calculate the absolute magnitude of a star, we need the apparent magnitude and the distance to the star.

The formula to calculate absolute magnitude is:

Absolute Magnitude = Apparent Magnitude - Distance Modulus

The distance modulus is calculated using the formula:

Distance Modulus = 5 * log(d) - 5

where d is the distance to the star in parsecs.

Let's substitute the given values:

Apparent Magnitude (mV) = 11 and Distance (d) = 100 pc.

Using the formula for distance modulus:

Distance Modulus = 5 * log(100) - 5

= 5 * 2 - 5

= 10 - 5

= 5

Now, substitute the values into the formula for absolute magnitude:

Absolute Magnitude = 11 - 5

= 6

Therefore, the absolute magnitude of the star at a distance of 100 pc, with an apparent visual magnitude of 11, and visual extinction of 6 mag is 6.