Path Difference for Minima in YDSE Calculator

Formula

The formula to calculate the Path Difference for Minima is:

\[ \Delta x_{min} = \left(2n + 1\right) \frac{\lambda}{2} \]

Where:

\(\Delta x_{min}\) is the Path Difference for Minima (m)
\(n\) is the Integer
\(\lambda\) is the Wavelength (m)

Definition

Path Difference for Minima is the difference in path lengths of two waves that results in destructive interference and forms a minima in an interference pattern.

Example Calculation

Let's assume the following values:

Integer (\(n\)) = 5
Wavelength (\(\lambda\)) = 0.268 m

Using the formula:

\[ \Delta x_{min} = \left(2 \cdot 5 + 1\right) \frac{0.268}{2} \]

Evaluating:

\[ \Delta x_{min} = 1.474 \text{ m} \]

The Path Difference for Minima is 1.474 m.

Conversion Chart

Integer (n)	Wavelength (m)	Path Difference for Minima (m)
1	0.268	0.402000000000
2	0.268	0.670000000000
3	0.268	0.938000000000
4	0.268	1.206000000000
5	0.268	1.474000000000
6	0.268	1.742000000000
7	0.268	2.010000000000
8	0.268	2.278000000000
9	0.268	2.546000000000
10	0.268	2.814000000000