12.10. We will learn in Chapter 14 that brightness of light called its intensity I is inversely proportional to the square of the distance r² from the light source. a. As r increases what happens to r² (does it increase or decrease)? What then happens to I (does it increase or decrease)? b. Write an equation that relates the two variables I, r² using an unknown constant k. c. The intensity from a light source is 50 Watts/meter2 when observed from 2 meters away. What is the value and units of the proportionality constant. What is the equation that relates the two variables I, r² using an unknown constant k. d. What intensity do you expect to measure at 10 meters away?

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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Chapter1: Physics And Measurement
Section: Chapter Questions
Problem 1.29P
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12.10. We will learn in Chapter 14 that brightness of light called its intensity I is inversely
proportional to the square of the distance r² from the light source.
a. As r increases what happens to r² (does it increase or decrease)? What then happens to
I (does it increase or decrease)?
b. Write an equation that relates the two variables I, r² using an unknown constant k.
c. The intensity from a light source is 50 Watts/meter2 when observed from 2 meters away.
What is the value and units of the proportionality constant. What is the equation that relates
the two variables I, r² using an unknown constant k.
d. What intensity do you expect to measure at 10 meters away?
Transcribed Image Text:12.10. We will learn in Chapter 14 that brightness of light called its intensity I is inversely proportional to the square of the distance r² from the light source. a. As r increases what happens to r² (does it increase or decrease)? What then happens to I (does it increase or decrease)? b. Write an equation that relates the two variables I, r² using an unknown constant k. c. The intensity from a light source is 50 Watts/meter2 when observed from 2 meters away. What is the value and units of the proportionality constant. What is the equation that relates the two variables I, r² using an unknown constant k. d. What intensity do you expect to measure at 10 meters away?
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