The formula to calculate the Focal Length of a Convex Lens given the Radius is:
\[ f_{\text{convex lens}} = -\frac{r_{\text{curve}}}{n - 1} \]
Where:
The Focal Length of a Convex Lens is the distance between the lens's vertex and the focal point, which is the point where parallel rays of light converge after passing through the lens.
Let's assume the following values:
Using the formula:
\[ f_{\text{convex lens}} = -\frac{0.068}{1.28 - 1} \]
Evaluating:
\[ f_{\text{convex lens}} = -0.242857142857143 \text{ m} \]
The Focal Length is -0.242857142857143 m.
| Radius (m) | Refractive Index | Focal Length (m) |
|---|---|---|
| 0.06 | 1.28 | -0.214285714286 |
| 0.062 | 1.28 | -0.221428571429 |
| 0.064 | 1.28 | -0.228571428571 |
| 0.066 | 1.28 | -0.235714285714 |
| 0.068 | 1.28 | -0.242857142857 |
| 0.07 | 1.28 | -0.250000000000 |
| 0.072 | 1.28 | -0.257142857143 |
| 0.074 | 1.28 | -0.264285714286 |
| 0.076 | 1.28 | -0.271428571429 |
| 0.078 | 1.28 | -0.278571428571 |
