To determine the spectral class of a star with an absolute magnitude of 10 and a temperature of 20,000 K, we need to use the general classifications for stars.
- Spectral Class is primarily determined by the temperature of the star:
- O-type stars: temperature > 30,000 K
- B-type stars: 10,000 K < temperature ≤ 30,000 K
- A-type stars: 7,500 K < temperature ≤ 10,000 K
- F-type stars: 6,000 K < temperature ≤ 7,500 K
- G-type stars: 5,200 K < temperature ≤ 6,000 K
- K-type stars: 3,700 K < temperature ≤ 5,200 K
- M-type stars: temperature < 3,700 K
Given that the temperature of the star in question is 20,000 K, it falls into the B-type category (as it is within the range of 10,000 K to 30,000 K).
Thus, the star would be classified as:
B