To determine the spectral class of a white dwarf with a temperature of 10,000 K, we need to consider the typical temperature ranges associated with different spectral classes:
- O: 30,000 K and above
- B: 10,000 K to 30,000 K
- A: 7,500 K to 10,000 K
- F: 5,200 K to 7,500 K
Since the temperature of the white dwarf is 10,000 K, it falls right at the upper limit of the A class and at the lower limit of the B class. Given that it coincides with the range of the B spectral class as well, it can be classified as B.
Therefore, the answer is B.