Distance from Center to Light Source for Destructive Interference in YDSE Calculator

Formula

The formula to calculate the Distance from Center to Light Source for Destructive Interference is:

\[ y_{\text{DI}} = \frac{(2n - 1) \cdot (\lambda \cdot D)}{2d} \]

Where:

\(y_{\text{DI}}\) is the Distance from Center to Light Source for Destructive Interference (m)
\(n\) is the Integer
\(\lambda\) is the Wavelength (m)
\(D\) is the Distance between Slits and Screen (m)
\(d\) is the Distance between Two Coherent Sources (m)

Definition

Distance from Center to Light Source for Destructive Interference is the distance between the center of a light source and the point where destructive interference occurs in a wave pattern.

Example Calculation

Let's assume the following values:

Integer (\(n\)) = 5
Wavelength (\(\lambda\)) = 0.268 m
Distance between Slits and Screen (\(D\)) = 0.202 m
Distance between Two Coherent Sources (\(d\)) = 0.106 m

Using the formula:

\[ y_{\text{DI}} = \frac{(2 \cdot 5 - 1) \cdot (0.268 \cdot 0.202)}{2 \cdot 0.106} \]

Evaluating:

\[ y_{\text{DI}} = 2.29822641509434 \text{ m} \]

The Distance from Center to Light Source for Destructive Interference is 2.29822641509434 m.

Conversion Chart

Integer (n)	Wavelength (m)	Distance between Slits and Screen (m)	Distance between Two Coherent Sources (m)	Distance from Center to Light Source for Destructive Interference (m)
1	0.268	0.202	0.106	0.255358490566
2	0.268	0.202	0.106	0.766075471698
3	0.268	0.202	0.106	1.276792452830
4	0.268	0.202	0.106	1.787509433962
5	0.268	0.202	0.106	2.298226415094
6	0.268	0.202	0.106	2.808943396226
7	0.268	0.202	0.106	3.319660377358
8	0.268	0.202	0.106	3.830377358491
9	0.268	0.202	0.106	4.341094339623
10	0.268	0.202	0.106	4.851811320755