{"knowledge_schema": {"broad_category": "Astronomy \u2192 Stellar Properties \u2192 Effective Temperature", "refinement": "This problem involves understanding the relationship between a star's physical characteristics (mass, radius) and its effective temperature (Teff), particularly in the context of surface features like dark spots.", "specific_scope": "The focus is on a specific star with given parameters (1.5 solar radius, 1.1 solar masses) and its effective temperature under different conditions (with and without dark spots).", "goal": "Determine the impact of dark spots on the effective temperature of the star and possibly calculate a related value."}, "summary": "This problem relates to astronomy, specifically the study of stellar properties, including effective temperature and how it can be affected by surface features like dark spots. The scenario presents a star with defined characteristics and asks for an analysis of its effective temperature under varying conditions. The goal is to understand how these factors interact and to derive a relevant value based on the provided options."}