Intensity of Light. The intensity I of light from a light...

Intensity of Light. The intensity $I$ of light from a light bulb varies inversely as the square of the distance $d$ from the bulb. Suppose that $I$ is $90 \mathrm{W} / \mathrm{m}^{2}$ (watts per square meter) when the distance is $5 \mathrm{m}$. How much farther would it be to a point where the intensity is $40 \mathrm{W} / \mathrm{m}^{2} ?$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Inverse Variation

This concept describes a relationship in which one variable increases while the other decreases proportionally, so that their product remains constant. In contexts such as physics, inverse variation is used to analyze how one quantity changes in response to another.

Inverse Square Law

A specific application of inverse variation where the intensity of effects like light, sound, or gravitational forces diminishes proportionally with the square of the distance from the source. It explains how spreading over an area increases with distance, reducing the impact per unit area.

Proportionality Constant

This is the constant factor in equations modeling inverse variation, encapsulating the specific properties of the system or source. It allows the establishment of a precise mathematical relationship between the variables, enabling the solution of problems based on given conditions.

Algebraic Problem Solving

The process of using algebra to manipulate the equations that describe inverse variation. This technique involves setting up equations, isolating unknowns, and solving for them, which is essential for calculating specific values within the context of the inverse square law.

Transcript

Please give Ace some feedback