How Does Doubling the Distance Affect Light Intensity?

In summary, the intensity of a point source light with an initial intensity level of 10 candle power at a distance of 2 m will decrease by a factor of 1/4 at a distance of 4 m, resulting in an intensity level of 2.5 candle power. This relationship can be represented by the equation $I \propto \frac{1}{d^2}$ where I is the intensity and d is the distance from the light source.
  • #1
oceanflavored
44
0
[SOLVED] another SAT II Physics question: optics

Homework Statement


A point source light which has an intensity level of 10 candle power at a distance of 2 m will have an intensity at 4 m of
A) .5 cp
B) 1 cp
C) 2.5 cp
D) 5 cp
E) 10 cp

Homework Equations


i don't really know...my book doesn't really address this
i don't even know what a point source light does.

The Attempt at a Solution


i tried to set up a proportion, but i got 20 as my answer, which is obviously wrong!

PLEASE HELP!
anything to start me off would be greatly appreciated!
 
Physics news on Phys.org
  • #2
You need to know the relationship between distance and intensity.

It is basically,

[itex] $ I \propto \frac{1}{d^2}$ [/itex]

With that, you should be able to solve your problem.
 
  • #3
oh okay;;
so since the distance was doubled, the intensity would decrease by a factor of 1/4,
and 10 x (1/4) = 2.5 cp
yes??
 
  • #4
yes.
 
  • #5
oceanflavored said:
oh okay;;
so since the distance was doubled, the intensity would decrease by a factor of 1/4,
and 10 x (1/4) = 2.5 cp
yes??
Exactly.
 

Related to How Does Doubling the Distance Affect Light Intensity?

1. What is the difference between reflection and refraction?

Reflection is the bouncing back of light rays from a surface, while refraction is the bending of light as it passes through a medium with a different density.

2. How do lenses work?

Lenses work by refracting light rays in a way that causes them to converge or diverge, allowing us to focus light onto an image.

3. What is the formula for calculating the focal length of a lens?

The formula for calculating the focal length of a lens is: f = 1 / (1/do + 1/di), where f is the focal length, do is the object distance, and di is the image distance.

4. How does light behave in different mediums?

Light travels at different speeds in different mediums, and this affects its wavelength and direction of propagation. Light can also be absorbed, transmitted, or reflected by different materials.

5. Can you explain Snell's Law?

Snell's Law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the speeds of light in the two mediums. This law helps us understand how light bends as it passes through different mediums.

Similar threads

  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
Replies
21
Views
303
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
234
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
13
Views
949
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
4K
Back
Top