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

Formula

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

\[ y_{CI} = \left(n + \frac{1}{2}\right) \frac{\lambda \cdot D}{d} \]

Where:

\(y_{CI}\) is the Distance from Center to Light Source for Constructive 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 Constructive Interference is the length of the line segment from the center of the light source to the point where the constructive wave is observed.

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:

\[ y_{CI} = \left(5 + \frac{1}{2}\right) \frac{0.268 \cdot 0.202}{0.106} \]

Evaluating:

\[ y_{CI} = 2.80894339622642 \text{ m} \]

The Distance from Center to Light Source for Constructive Interference is 2.80894339622642 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 Constructive Interference (m)
1	0.268	0.202	0.106	0.766075471698
2	0.268	0.202	0.106	1.276792452830
3	0.268	0.202	0.106	1.787509433962
4	0.268	0.202	0.106	2.298226415094
5	0.268	0.202	0.106	2.808943396226
6	0.268	0.202	0.106	3.319660377358
7	0.268	0.202	0.106	3.830377358491
8	0.268	0.202	0.106	4.341094339623
9	0.268	0.202	0.106	4.851811320755
10	0.268	0.202	0.106	5.362528301887