State and use the formula: magnification = image size ÷ actual size.
2.2 Size of Specimens
Objective
State and use the formula: magnification = image size ÷ actual size. 📐 Think of it as comparing a tiny insect on a microscope slide to the same insect in real life.
Key Formula
The magnification (M) is calculated as:
$M = \dfrac{I}{A}$
Where:
- $I$ = image size (measured on the slide or in the picture)
- $A$ = actual size (real-world size of the specimen)
Analogy: The Map Example
Imagine a city map where 1 cm on the map represents 1 km in real life. If a road on the map is 2 cm long, the real road is 2 km. Here, the “magnification” is 1 cm : 1 km, or 1 : 1000. The same idea applies to microscopes: the image on the slide is a “scaled-up” version of the tiny specimen.
Step‑by‑Step Example
- Measure the actual size of a leaf: 5 mm.
- Place the leaf on the microscope slide and capture an image.
- Measure the image size on the slide: 25 mm.
- Apply the formula:
$M = \dfrac{25\,\text{mm}}{5\,\text{mm}} = 5$ - Interpretation: The leaf appears 5 times larger in the image than it is in reality.
Practice Problems
| # | Actual Size (mm) | Image Size (mm) | Magnification (M) |
|---|---|---|---|
| 1 | 2 | 10 | $5$ |
| 2 | 0.5 | 2.5 | $5$ |
| 3 | 4 | 8 | $2$ |
Quick Check
If a microscope image shows a cell that is 15 mm long and the real cell is 3 mm, what is the magnification?
$M = \dfrac{15}{3} = 5$
The cell appears 5 times larger in the image. ??
Take‑away
Magnification tells us how many times bigger the image is compared to the real specimen. By remembering the simple ratio $M = I/A$, you can quickly calculate and interpret magnification in any microscopy experiment. Keep practicing with different specimens and you’ll become a magnification master! 🚀
Revision
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