Path Difference for Destructive Interference in YDSE Calculator

Formula

The formula to calculate the Path Difference for Destructive Interference is:

\[ \Delta x_{\text{DI}} = (2n - 1) \cdot \left(\frac{\lambda}{2}\right) \]

Where:

\(\Delta x_{\text{DI}}\) is the Path Difference for Destructive Interference (m)
\(n\) is the Integer
\(\lambda\) is the Wavelength (m)

Definition

Path Difference for Destructive Interference is the difference in path lengths of two waves that results in the complete cancellation of waves, leading to destructive interference.

Example Calculation

Let's assume the following values:

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

Using the formula:

\[ \Delta x_{\text{DI}} = (2 \cdot 5 - 1) \cdot \left(\frac{0.268}{2}\right) \]

Evaluating:

\[ \Delta x_{\text{DI}} = 1.206 \text{ m} \]

The Path Difference for Destructive Interference is 1.206 m.

Conversion Chart

Integer (n)	Wavelength (m)	Path Difference for Destructive Interference (m)
1	0.268	0.134000000000
2	0.268	0.402000000000
3	0.268	0.670000000000
4	0.268	0.938000000000
5	0.268	1.206000000000
6	0.268	1.474000000000
7	0.268	1.742000000000
8	0.268	2.010000000000
9	0.268	2.278000000000
10	0.268	2.546000000000