Answer key: Microscope Magnification Activity
For teachers. This page is hidden from search engines and not linked from student pages, but it is not password-protected, so please don’t share the link with students. Student activity: Microscope Magnification Activity.
Goal: Calculate magnification, actual size and image size with M = image size ÷ actual size, convert between millimeters and micrometers, and work out total microscope magnification.
Completed results table
| What to find | Your result |
|---|---|
| Actual size of a 20 mm drawing at 400× | 50 µm |
| Magnification of a 7.5 µm cell drawn 7.5 mm wide | 1,000× |
| Image size of a 2 µm bacterium at 1,000× | 2 mm |
| Total magnification: 10× eyepiece, 40× objective | 400× |
| Field of view at that magnification | 450 µm |
| Total magnification: 10× eyepiece, 4× objective | 40× |
| Field of view at that magnification | 4,500 µm |
Answers
A drawing of a cell is 20 mm wide at 400× magnification. Show how to find the cell’s actual size in micrometers.
Convert first: 20 mm × 1,000 = 20,000 µm. Actual size = image size ÷ magnification = 20,000 ÷ 400 = 50 µm.
A red blood cell 7.5 µm across is drawn 7.5 mm wide. A student says the magnification is 1×. What mistake did they make, and what is the right answer?
They divided without converting to the same unit. 7.5 mm = 7,500 µm, so M = 7,500 ÷ 7.5 = 1,000×.
How large does a 2 µm bacterium appear at 1,000×?
Image size = actual size × magnification = 2 µm × 1,000 = 2,000 µm, which is 2 mm.
What is the total magnification with a 10× eyepiece and a 40× objective? How many 50 µm cells fit across the 450 µm field of view?
Total magnification = 10 × 40 = 400×. 450 ÷ 50 = 9 cells fit across the field.
When you switch from the 4× objective to the 40× objective, the magnification rises 10 times. What happens to the field of view?
It shrinks 10 times, from 4,500 µm (4.5 mm) to 450 µm, so you see a smaller area in more detail.
Challenge: a scale bar on a micrograph is labeled 20 µm and measures 8 mm on the page. What is the magnification?
8 mm = 8,000 µm, so M = 8,000 ÷ 20 = 400×.