The light from a lightbulb radiates outward in all directions. a. Consider the interior of an imaginary sphere on which the light shines. The surface area of the sphere is directly proportional to the square of the radius. If the surface area of a sphere with a 10-m radius is 400 πm 2 , determine the exact surface area of a sphere with a 20-m radius. b. Explain how the surf ace area changed when the radius of the sphere increased from 10 m to 20 m. c. Based on your answer from part (b) how would you expect the intensity of light to change from a point 10 m from the lightbulb to a point 20 m from the lightbulb? d. The intensity of light from a light source varies inversely as the square of the distance from the source. If the intensity of a lightbulb is 200 lumen/m 2 (lux) at a distance of 10 m, determine the intensity at 20 m.
The light from a lightbulb radiates outward in all directions. a. Consider the interior of an imaginary sphere on which the light shines. The surface area of the sphere is directly proportional to the square of the radius. If the surface area of a sphere with a 10-m radius is 400 πm 2 , determine the exact surface area of a sphere with a 20-m radius. b. Explain how the surf ace area changed when the radius of the sphere increased from 10 m to 20 m. c. Based on your answer from part (b) how would you expect the intensity of light to change from a point 10 m from the lightbulb to a point 20 m from the lightbulb? d. The intensity of light from a light source varies inversely as the square of the distance from the source. If the intensity of a lightbulb is 200 lumen/m 2 (lux) at a distance of 10 m, determine the intensity at 20 m.
The light from a lightbulb radiates outward in all directions.
a. Consider the interior of an imaginary sphere on which the light shines. The surface area of the sphere is directly proportional to the square of the radius. If the surface area of a sphere with a 10-m radius is
400
πm
2
,
determine the exact surface area of a sphere with a 20-m radius.
b. Explain how the surf ace area changed when the radius of the sphere increased from 10 m to 20 m.
c. Based on your answer from part (b) how would you expect the intensity of light to change from a point 10 m from the lightbulb to a point 20 m from the lightbulb?
d. The intensity of light from a light source varies inversely as the square of the distance from the source. If the intensity of a lightbulb is 200
lumen/m
2
(lux) at a distance of 10 m, determine the intensity at 20 m.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY