The formula to calculate the Path Difference for Constructive Interference in YDSE is:
\[ \Delta x_{\text{CI}} = \frac{y_{\text{CI}} \cdot d}{D} \]
Where:
Path Difference for Constructive Interference is the difference in distance traveled by two waves resulting in constructive interference.
Let's assume the following values:
Using the formula:
\[ \Delta x_{\text{CI}} = \frac{2.808 \cdot 0.106}{0.202} \]
Evaluating:
\[ \Delta x_{\text{CI}} = 1.47350495049505 \text{ m} \]
The Path Difference for Constructive Interference is 1.47350495049505 m.
| Distance from Center to Light Source for C I (m) | Distance between Two Coherent Sources (m) | Distance between Slits and Screen (m) | Path Difference for Constructive Interference (m) |
|---|---|---|---|
| 2.5 | 0.106 | 0.202 | 1.311881188119 |
| 2.6 | 0.106 | 0.202 | 1.364356435644 |
| 2.7 | 0.106 | 0.202 | 1.416831683168 |
| 2.8 | 0.106 | 0.202 | 1.469306930693 |
| 2.9 | 0.106 | 0.202 | 1.521782178218 |