How does distance affect light intensity according to the inverse square law?

In summary, the conversation discusses the relationship between light intensity and lumens, specifically how intensity is affected by distance according to the inverse square law. It is noted that the unit for the length used in the equation can be any unit, but the standard SI units are typically assumed. It is also mentioned that the units for intensity and illuminance are different, so they cannot be directly compared. The conversation concludes by stating that the information provided is helpful and appreciated.
  • #1
joemama69
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0

Homework Statement



I have a general question about light and Lumens and the inverse square law?

So Intensity = Initial Lumens/Lenth^2

So @ a Length of 1, there is no loss of light intensity. What unit is this 1.
1 meter? 1 foot?


Homework Equations





The Attempt at a Solution

 
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  • #2
This is why you need to specify the units when you are doing physics.

You can plug in the length in any unit that you like, but you will get the intensity in some "weird" (i.e. non-standard) unit. The SI-units - which people will usually assume are meant if you don't specify them - are:
Intensity [lux] = Initial lumens [lm] / (Length [m])²

Since a lumen is defined as the illuminance of a light source of 1 cd on a surface perpendicular to the source at a distance of 1 m, your conclusion that there is "no loss of intensity" is correct by definition of the units. Although I prefer to put it as "at a distance of 1 m, the numerical values for intensity and illuminance co-incide (in the units chosen)" - after all they are different quantities so you can't directly compare them - hence you can't say there is no "loss".
 
  • #3
Ok great, exactly the info I needed. Much appreciated.
 

1. What is the Inverse Square Law?

The Inverse Square Law is a scientific principle that states that the intensity of a physical quantity (such as light) is inversely proportional to the square of the distance from the source. This means that as the distance from the source increases, the intensity decreases by a factor of four.

2. How does the Inverse Square Law apply to light?

The Inverse Square Law applies to light because light is a form of electromagnetic radiation that follows this principle. As light travels away from its source, the intensity decreases according to the inverse square of the distance.

3. Why is the Inverse Square Law important?

The Inverse Square Law is important because it helps us understand how light and other forms of radiation behave. It allows us to make predictions and calculations about the intensity of light at different distances from a source, which is useful in fields such as photography, astronomy, and radiology.

4. How is the Inverse Square Law used in everyday life?

The Inverse Square Law is used in many practical applications, such as determining the correct exposure for a photograph, calculating the radiation exposure for medical procedures, and designing lighting systems for buildings and streets. It also helps explain phenomena such as the brightness of stars and the strength of wireless signals.

5. Are there any exceptions to the Inverse Square Law?

While the Inverse Square Law applies to most situations involving light and other forms of radiation, there are some cases where it does not hold true. These exceptions occur when the light source is not a point source, but instead has a finite size or a specific shape. In these cases, the intensity of light may not decrease according to the inverse square of the distance.

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