Cells are far too small to see with your eyes alone. A microscope makes them big enough to study. Without microscopes, we would not know about nuclei, mitochondria or bacteria.
This matters because a lot of biology depends on seeing tiny structures and measuring them. Calculating size from a diagram is a skill that comes up again and again.
By the end you will be able to compare light and electron microscopes. You will describe how to make a slide. You will calculate magnification and real size, and change between units.
Light microscopes
Magnification means how many times bigger something looks. A light microscope shines light through a thin sample and uses lenses to magnify it. It magnifies up to about 1500 times.
It can show the nucleus, the cytoplasm and the cell wall. But its resolution is limited. Resolution is the smallest distance between two points that can still be seen as separate.
Think of zooming in on a phone photo. It gets bigger, but it can go blurry. A light microscope cannot show tiny structures such as ribosomes.
Electron microscopes
An electron microscope uses a beam of electrons instead of light. It has a much higher magnification and a much higher resolution.
It shows the inside of mitochondria and chloroplasts, and also ribosomes. Think of a sharp, high-quality photo that stays clear when you zoom in.
Electron microscopes have helped scientists understand cells in far more detail. But they are large and expensive. The sample is placed in a vacuum, so it cannot be alive.
Preparing a slide
To look at plant cells, peel a thin layer from an onion. Lay it on a drop of water on a slide. Add a drop of iodine solution as a stain. A stain is a dye that makes parts easier to see, such as the nucleus and cell wall.
Lower a coverslip gently at an angle, so no air bubbles get trapped. Think of putting a screen protector on a phone.
Start with the lowest-power objective lens. Focus with the coarse knob. Then switch to a higher power and focus with the fine knob.
The magnification equation
Use this equation. Magnification = image size ÷ real size. The image is what you see or draw. The real size is the true size of the object.
Both sizes must be in the same units before you divide. A magnification has no unit. We write it like ×200.
Say a 2 mm object looks 10 mm long in a drawing. The magnification is 10 ÷ 2 = ×5. You can rearrange it. Real size = image size ÷ magnification. Image size = real size × magnification.
A formula triangle with image size at the top and real size and magnification along the bottom.
Units and standard form
Cells are tiny, so we use small units. 1 millimetre (mm) = 1000 micrometres (µm). 1 micrometre = 1000 nanometres (nm).
To change mm to µm, multiply by 1000. To change µm to mm, divide by 1000. Think of changing metres to millimetres. A smaller unit means a bigger number.
Standard form is a way to write very small or very large numbers using powers of ten. 0.002 mm is 2 × 10⁻³ mm. That is 2 µm.
It is useful to estimate the size of a cell. Compare it with something of known size, such as the scale bar. A typical animal cell is of the order of 10 µm to 100 µm across, so its size is about 10⁻⁵ m. A bacterium is about 1 µm to 5 µm long. Use an estimate to check your calculated answer is a sensible size.
Using the equation in an exam
First, convert both sizes to the same unit. A drawing 36 mm long shows a cell that is 12 µm long. Change 36 mm to 36 000 µm. Then 36 000 ÷ 12 = ×3000.
If you forget to convert, your answer will be wrong by a factor of 1000.
A scale bar shows a real length on the drawing. Measure the bar and the cell with a ruler. Then use real size = image size ÷ magnification.
Recap
Light microscopes are cheaper and can show living cells. Electron microscopes have higher magnification and resolution.
Magnification = image size ÷ real size. Convert to the same unit first.
1 mm = 1000 µm and 1 µm = 1000 nm.
Magnification has no unit. Write it like ×200.
Key points
Light microscope: cheap, shows living cells, lower resolution.
Electron microscope: higher magnification and resolution, shows small structures.
magnification = image size ÷ real size.
1 mm = 1000 µm and 1 µm = 1000 nm.
Worked examples
Example 1
A student draws a cell 45 mm long. The magnification is ×15. Calculate the real length of the cell in mm.
real size = image size ÷ magnification.
45 ÷ 15 = 3.
The real length is 3 mm.
Answer: 3 mm
Common slips
Slip: 45 × 15 = 675 mm To find the real size you divide.
Slip: 15 ÷ 45 = 0.33 mm The image size is on top of the division.
Slip: 3 µm The sizes are both in mm, so the answer is in mm.
Example 2
A cell has a real length of 0.05 mm. It is magnified ×400. Calculate the image size in mm.
image size = real size × magnification.
0.05 × 400 = 20.
The image size is 20 mm.
Answer: 20 mm
Common slips
Slip: 0.05 ÷ 400 = 0.000125 mm To find the image size you multiply.
Slip: 0.05 + 400 = 400.05 mm Magnification multiplies the size.
Slip: 2 mm Check the multiplication. 0.05 × 400 is 20.
Example 3
An image of a cell is 36 mm long. The real cell is 12 µm long. Calculate the magnification.
Change the image to micrometres: 36 mm × 1000 = 36 000 µm.
magnification = 36 000 ÷ 12.
The magnification is ×3000.
Answer: ×3000
Common slips
Slip: 36 ÷ 12 = ×3 The units are different. Convert mm to µm first.
Slip: 36 × 12 = ×432 Magnification is a division, not a multiplication.
Slip: 12 ÷ 36 000 = ×0.00033 This is upside down.
Questions and answers
Microscopes and magnification practice questions for GCSE Combined Science Biology. Try each one, then open the answer. Easy questions come first.
Question 1 Easy
Which type of microscope has the higher resolution, light or electron?
Show answer
Answer: electron
Electrons have a shorter wavelength than light.
So the electron microscope shows more detail.
Question 2 Easy
In the equation magnification = image size ÷ ..., what goes in the gap?
Show answer
Answer: real size
Magnification compares the image with the real object.
The gap is real size.
Question 3 Easy
How many micrometres are there in 1 mm?
Show answer
Answer: 1000
1 mm is one thousandth of a metre.
There are 1000 µm in 1 mm.
Question 4 Easy
What word means the smallest distance at which two points can be seen as separate?
Show answer
Answer: resolution
This is about detail.
It is called resolution.
Question 5 Easy
Which type of microscope can be used to look at living cells, light or electron?
Show answer
Answer: light
An electron microscope uses a vacuum.
So living cells need a light microscope.
Question 6 Easy
How many nanometres are there in 1 µm?
Show answer
Answer: 1000
A micrometre is bigger than a nanometre.
1 µm = 1000 nm.
Question 7 Medium
An image is 30 mm long and the real size is 2 mm. Calculate the magnification.
Show answer
Answer: ×15
magnification = 30 ÷ 2.
The magnification is ×15.
Question 8 Medium
A cell is 0.4 mm long. The magnification is ×100. Calculate the image size in mm.
Show answer
Answer: 40 mm
image size = 0.4 × 100.
The image size is 40 mm.
Exam-style questions
Longer questions in the style of a written paper, with the marking points. These are Yumio practice questions.
Exam-style question 14 marks
(a) A drawing of a cell is 48 mm long. The real cell is 0.06 mm long. Calculate the magnification. [2 marks] (b) Give one reason why an electron microscope shows more detail than a light microscope. [1 mark] (c) State one thing that must be done to a slide of onion cells to make the nucleus easier to see. [1 mark]
Show answer and marking points
Answer: (a) ×800 (b) it has a higher resolution (c) add a stain such as iodine
(a) 48 ÷ 0.06 (1)
(a) ×800 (1)
(b) higher resolution (1)
(c) stain the cells, for example with iodine (1)
Exam-style question 23 marks
Describe how to prepare a slide of onion cells to look at under a light microscope. [3 marks]
Show answer and marking points
Answer: Peel a thin layer of onion and place it in a drop of water on a slide. Add a drop of iodine stain. Lower a coverslip at an angle so that no air bubbles are trapped.
a thin layer of onion on a drop of water on a slide (1)
add iodine as a stain (1)
lower the coverslip at an angle to avoid air bubbles (1)
Common mistakes
Dividing without changing the units to match
Convert both sizes to mm or both to µm first.
Writing a unit after a magnification
Magnification has no unit. Write ×200.
Saying electron microscopes have higher magnification but ignoring resolution
Say that they show more detail because they have a higher resolution.
Mixing up magnification and resolution
Magnification is how many times bigger the image is. Resolution is how much detail can be seen.
Questions students ask
Is Microscopes and magnification on the Foundation or Higher tier?
Microscopes and magnification is on both Foundation and Higher papers for GCSE Combined Science Biology, aimed at around grade 4.
What is a common mistake on Microscopes and magnification?
Dividing without changing the units to match. Convert both sizes to mm or both to µm first.
Where are the answers to the Microscopes and magnification questions?
Open Show answer under each question on this page. The questions are Yumio practice questions, not past exam questions.