To calculate the image distance:
\[ \frac{1}{D_i} = \frac{1}{F} - \frac{1}{O} \]
Where:
To find \(D_i\), solve the equation for \(D_i\):
\[ D_i = \frac{1}{\left( \frac{1}{F} - \frac{1}{O} \right)} \]
Image distance refers to the distance from the lens to the point where the image is formed. It is an important parameter in optics and is calculated using the lens formula.
Let's assume the following values:
Using the formula:
\[ \frac{1}{D_i} = \frac{1}{5} - \frac{1}{10} = 0.1 - 0.05 = 0.05 \]
\[ D_i = \frac{1}{0.05} = 20 \text{ inches} \]
The Image Distance is 20 inches.
Let's assume the following values:
Using the formula:
\[ \frac{1}{D_i} = \frac{1}{7} - \frac{1}{15} \approx 0.1429 - 0.0667 = 0.0762 \]
\[ D_i \approx \frac{1}{0.0762} \approx 13.12 \text{ inches} \]
The Image Distance is approximately 13.12 inches.
