Final answer:
Sirius has an apparent magnitude of -1.5, which makes it appear very bright in the sky, but this perceived brightness is also due to its much closer proximity to Earth compared to other stars. The magnitude scale works inversely, with higher numbers indicating fainter stars, and Sirius B, being much fainter than Sirius A, is not visible to the eye.
Step-by-step explanation:
The apparent magnitude of a star is a measure of how bright it appears from Earth, whereas the absolute magnitude refers to how bright the star would be at a standard distance of 10 parsecs. Sirius, the brightest star in the sky, has an apparent magnitude of -1.5, which is brighter than average for a first-magnitude star. The brightness of Sirius compared to another star like Rigel can be misleading because Sirius is about 100 times closer to Earth than Rigel is. If Rigel were at the same distance as Sirius, it would appear much brighter than Sirius. The magnitude scale is inverse, meaning that a higher magnitude number corresponds to a fainter star. As an example, Sirius A's dim companion, Sirius B, is 10,000 times less bright than Sirius A. Given the description of light intensity differences and the magnitude scale, the apparent magnitude of Sirius B cannot be calculated precisely without additional data or a reference chart. Typically, the threshold for visibility to the eye is an apparent magnitude of around 6 or 7; therefore, Sirius B, being significantly dimmer than Sirius A, is not visible.