m=hᵢ/hₒ Physics Tool

Optical Magnification

Compare magnification obtained from image/object heights and distances. This page combines the live calculator with the underlying formula or method, a worked example and practical study notes.

Study Tools / Physics / Optical Magnification
Study note: The interactive calculator below uses the same NexaMed Tools calculation engine as the main Study Tools hub, so this page is a search-friendly doorway into the same working calculator rather than a separate approximation.
Interactive calculator
Calculate Optical Magnification

What Is the Optical Magnification?

Compare magnification obtained from image/object heights and distances. The calculator is paired with the governing relationship so the numerical output stays connected to the concept you are studying.

Use this page to check worked examples, compare different inputs, and keep the meaning of each variable visible while practising.

Formula or Method

Formula / method
m = hᵢ/hₒ = −dᵢ/dₒ

Magnification compares image and object size; the sign indicates orientation under the selected optical convention. Keep units and conventions consistent with the problem statement and with the options shown in the calculator.

How to Use the Calculator

  1. Read the input labels and enter the values requested by the problem or exercise.
  2. Check units, signs, angle mode, population/sample options, or other settings before calculating.
  3. Compare the result with the displayed formula or method and the worked example below.

Worked Example

Example: An image height of 2 cm from a 4 cm object gives |m|=0.50.

Common Mistakes

Why It Matters for Students

Optical Magnification is useful when a formula becomes a repeated part of problem solving. Use the page to verify a worked problem, inspect how changing an input changes the output, and keep the relationship itself visible rather than treating the calculator as a black box.

The numerical result is only as meaningful as the values, units and assumptions entered. For idealized physics and mathematics models, use the conventions specified in your course or problem statement.

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These pages are part of the same Study Tools system. For the complete collection, open the 2,420-tool NexaMed Study Tools hub.

Frequently Asked Questions

What is the optical magnification used for?
The Optical Magnification applies the relationship shown on this page to the inputs you provide. It is intended as a practical study and reference tool. Use the displayed method and keep the supplied units consistent.
What formula does the optical magnification use?
Magnification compares image and object size; the sign indicates orientation under the selected optical convention.
How do I use the optical magnification?
Enter the requested values, check the units or options, and calculate. Then compare the result with the formula, worked example and notes on the page. Use the displayed method and keep the supplied units consistent.
Calculation source: This page uses the NexaMed Prep Study Tools engine and the same tool definition used by the main interactive hub. Formula descriptions are presented for educational reference; follow the conventions, units and assumptions required by your course, textbook or examination.