Finding Highest Order Node & Antinode: Source Separation d & λ

In summary, a node is a point of zero amplitude and an antinode is a point of maximum amplitude in a standing wave. In the context of source separation, identifying the highest order node and antinode can assist in determining the distance between sources. To find the highest order node and antinode, the distance between the first and last node or antinode is divided by the number of nodes or antinodes. This information is important in accurately separating sources and understanding the properties of waves. The highest order node and antinode will always be the furthest points from each other in a standing wave, but the number of nodes and antinodes can vary. The distance between sources directly affects the wavelength and frequency of the standing wave, resulting in
  • #1
kthejohnster
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0

Homework Statement



if i have source separation between 2 light sources, d, and wavelength, λ, what is the highest order node and antinode?

Homework Equations





The Attempt at a Solution


im not sure where to start for this question I am leaning towards division to cancel out the meters
 
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  • #2
A light beam is diffracted by the slits, and the diffracted waves interfere. What are the conditions of destructive and constructive interference?

ehild
 
  • #3
what is the greatest path difference (in wavelengths) you can have between the 2 sources?
 

1. What is a node and an antinode in the context of source separation?

A node is a point of zero amplitude in a standing wave, while an antinode is a point of maximum amplitude. In the context of source separation, these points can help identify the highest order node and antinode, which can assist in determining the distance between sources.

2. How do you find the highest order node and antinode?

To find the highest order node and antinode, a standing wave pattern must be identified first. Then, the distance between the first and last node or antinode is divided by the number of nodes or antinodes to determine the distance between each. The highest order node and antinode will be the furthest points from each other.

3. Why is it important to identify the highest order node and antinode in source separation?

Identifying the highest order node and antinode can help determine the wavelength and frequency of the standing wave, which can be used to calculate the distance between sources. This information is crucial in accurately separating sources and understanding the properties of the waves.

4. Can the highest order node and antinode change in a standing wave?

No, the highest order node and antinode will always be the furthest points from each other in a standing wave. However, the number of nodes and antinodes can vary depending on the wavelength and frequency of the wave.

5. How does the distance between the sources affect the standing wave pattern?

The distance between the sources directly affects the wavelength and frequency of the standing wave. If the distance between sources is increased, the wavelength will also increase, resulting in a lower frequency and a different standing wave pattern. Similarly, a decrease in distance will result in a higher frequency and a different standing wave pattern.

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