If the intensity of light varies inversely with the square of the distance from the source, and the intensity is 9 units when the distance is 3 meters, then the constant of proportionality is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to find the constant of proportionality in an inverse variation involving the square of the distance.
Key Concept Explanation
Inverse variation is a relationship where the product of two variables is a constant, expressed as or , where is a non-zero constant. For the square of the distance, the relationship is .
Step-by-step Solution
1. Use the given values to find the constant of proportionality: , where
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.