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Lens Magnification Calculator

Lens Magnification Formula:

\[ M = \frac{f}{f - d} \]

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1. What is Lens Magnification?

Lens magnification (M) is a measure of how much larger or smaller an image appears compared to the actual object when viewed through a lens. It describes the ratio of the image size to the object size.

2. How Does the Calculator Work?

The calculator uses the lens magnification formula:

\[ M = \frac{f}{f - d} \]

Where:

Explanation: The formula calculates how much a lens magnifies an object based on the lens's focal length and the distance between the lens and the object.

3. Importance of Magnification Calculation

Details: Accurate magnification calculation is crucial for photography, microscopy, optics design, and various scientific applications where precise image scaling is required.

4. Using the Calculator

Tips: Enter focal length and distance in millimeters. Both values must be positive numbers, and the distance cannot equal the focal length (as this would cause division by zero).

5. Frequently Asked Questions (FAQ)

Q1: What does magnification greater than 1 mean?
A: Magnification greater than 1 indicates that the image appears larger than the actual object (enlargement).

Q2: What does magnification less than 1 mean?
A: Magnification less than 1 indicates that the image appears smaller than the actual object (reduction).

Q3: Can magnification be negative?
A: Yes, negative magnification indicates that the image is inverted relative to the object.

Q4: What happens when distance equals focal length?
A: When distance equals focal length, the denominator becomes zero, making the magnification undefined (infinite). This represents the case where the object is at the focal point.

Q5: How does focal length affect magnification?
A: Longer focal lengths generally produce higher magnification, while shorter focal lengths produce lower magnification, assuming the same object distance.

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