1. What is Magnification Factor?

Definition: The magnification factor (M) is the ratio of the objective focal length to the eyepiece focal length in an optical system.

Purpose: It determines how much larger an object appears through an optical instrument compared to the naked eye.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( M \) — Magnification (dimensionless)
• \( f_o \) — Objective focal length (meters, m)
• \( f_e \) — Eyepiece focal length (meters, m)

Explanation: The longer the objective focal length or the shorter the eyepiece focal length, the greater the magnification.

3. Importance of Magnification Calculation

Details: Proper magnification calculation is essential for designing optical systems like telescopes and microscopes to achieve desired viewing capabilities.

4. Using the Calculator

Tips: Enter both focal lengths in meters. The eyepiece focal length must be shorter than the objective for magnification >1x.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical magnification range for telescopes?
A: Most telescopes provide 50x-300x magnification, depending on their design and focal lengths.

Q2: How does magnification affect image quality?
A: Higher magnification reduces brightness and field of view, and may reveal optical imperfections.

Q3: Can magnification be less than 1?
A: Yes, when the eyepiece focal length is longer than the objective, resulting in a minified image.

Q4: What units should I use for focal lengths?
A: The calculator uses meters, but any consistent unit will work as the ratio is dimensionless.

Q5: Does this formula work for compound microscopes?
A: Yes, though microscope magnification also includes tube length factors in some designs.