{"knowledge_schema": {"broad_category": "Astronomy \u2192 Cosmology \u2192 Redshift", "refinement": "This problem involves calculating the redshift of light emitted from a distant galaxy based on the observed and rest wavelengths.", "specific_scope": "The focus is on determining the redshift value using the formula that relates the observed wavelength to the rest wavelength.", "goal": "Calculate the redshift (z) of the galaxy using the given wavelengths to understand the expansion of the universe."}, "summary": "This problem pertains to the field of astronomy, specifically the concept of redshift, which measures how much the wavelength of light has been stretched due to the expansion of the universe. The task is to calculate the redshift of a distant galaxy by comparing the emitted (rest) wavelength of 500 nm with the observed wavelength of 1500 nm. The goal is to apply the redshift formula to find the value of z, which indicates how much the light has shifted, helping us understand the galaxy's movement away from us."}