Final answer:
The habitable zone of a star with larger luminosity than the sun would be farther from the star because a more luminous star emits more heat, necessitating a larger distance for a planet to maintain liquid water and potentially support life.
The correct answer is option b. Farther from the larger/brighter star.
Step-by-step explanation:
A star with a larger luminosity than the sun would have a habitable zone that is farther from the larger/brighter star. This is because a more luminous star emits more heat and light, so the region where a planet could have liquid water on its surface, and thus be potentially habitable, is at a greater distance than it would be from a less luminous star like our Sun.
This habitable zone is essential for finding Earth-size worlds that could support life as we know it. For instance, as a star like the Sun ages and increases in luminosity, its habitable zone migrates outward, leading to the concept of the continuously habitable zone, a narrower area where conditions remain stable over the star's lifetime.
Option b. Farther from the larger/brighter star , is the correct answer.