1. What is the Convex Lens Formula?

The convex lens formula relates the focal length (f), object distance (do), and image distance (di) in a convex lens system. It's fundamental in optics for determining where an image will form.

2. How Does the Calculator Work?

The calculator uses the convex lens formula:

Where:

• \( di \) — Image distance (m)
• \( f \) — Focal length of the lens (m)
• \( do \) — Object distance from lens (m)

Explanation: The formula shows the inverse relationship between the focal length, object distance, and resulting image distance.

3. Importance of Image Distance Calculation

Details: Calculating image distance is crucial for lens design, photography, microscopy, and any optical system using convex lenses to predict image formation.

4. Using the Calculator

Tips: Enter focal length and object distance in meters. Both values must be positive numbers, and object distance cannot equal focal length (which would make di infinite).

5. Frequently Asked Questions (FAQ)

Q1: What happens when do = f?
A: When object distance equals focal length, the denominator becomes zero, making di infinite (parallel rays, no image formed).

Q2: What does a negative di value mean?
A: Negative image distance indicates a virtual image formed on the same side as the object (when do < f).

Q3: How does focal length affect image distance?
A: Shorter focal lengths produce images closer to the lens for a given object distance compared to longer focal lengths.

Q4: Can this be used for concave lenses?
A: No, this formula is specifically for convex lenses. Concave lenses use a different formula.

Q5: What are practical applications of this calculation?
A: Used in designing cameras, eyeglasses, telescopes, microscopes, and any optical system using convex lenses.