BiologyExam code: 4BI1

Cell Structure

Structures and Functions in Living Organisms

Why microscopes are needed

Most cells are far too small to see with the naked eye. A human red blood cell is only about 8 μm across; a bacterium is around 2 μm. A microscope uses lenses (or a beam of electrons) to magnify the image so structures invisibly small can be seen.

Light microscope vs electron microscope

Light microscopeElectron microscope
Source used to see the sampleVisible light through glass lensesA beam of electrons through magnetic lenses
Maximum useful magnificationAbout ×1500Up to ×500 000 or more
Resolution (smallest detail visible)About 200 nmDown to 0.2 nm
Living specimens?Yes, can view living cells in colourNo, the sample must be in a vacuum and is killed
Cost and sizeCheap and benchtop-sizedVery expensive, room-sized
What you can seeCell wall, cell membrane, nucleus, chloroplasts, large vacuoleAlso small organelles such as ribosomes and mitochondria in detail

A light microscope is what you use in a school biology lab. An electron microscope is needed to see the smallest organelles (ribosomes, the internal structure of mitochondria, individual viruses).

The magnification equation

The relationship between the actual size of an object, the size of its image, and the magnification of the microscope is:

= image size ÷ actual size

Rearranged forms:

actual size = image size ÷ magnification

image size = actual size × magnification

Always make sure both sizes are in the same unit before dividing. Useful conversions:

1 mm = 1000 μm

1 μm = 1000 nm

1 mm = 1 000 000 nm

Common exam question

Calculating the magnification of a drawing or photograph

Question: The actual size of a cell, organism or virus is given in micrometres or millimetres; measure the printed image, often along a marked line, and calculate or determine its magnification (2–3 marks).

Set in 9 of the 23 papers. A 3-mark version usually follows the method: one for measuring the line with a ruler (a millimetre or two either side is allowed, and some schemes want the unit written with the reading), one for converting so both lengths share a unit (millimetres × 1000 gives micrometres), and the last for dividing image size by actual size. A 2-mark version gives one mark for the measurement or the division. A correct answer inside the accepted range earns full marks even with no working, and a wrong measurement carried correctly through the method still collects the method marks.

Magnification is a ratio: write it as "× 400", with no unit. Units written after it are ignored rather than penalised.

Worked example

Calculating magnification from a diagram

A diagram shows a palisade cell. You measure the line A–B on the diagram and find it is 30 mm long. The actual length of the cell from A to B is 150 μm. Calculate the magnification of the diagram.

Drawing of a palisade mesophyll cell with cell wall, nucleus, large vacuole and many chloroplasts, and a straight line A–B along its full length

Solution:

  • Convert the image measurement to the same unit as the actual size: 30 mm × 1000 = 30 000 μm
  • Apply the formula: magnification = image size ÷ actual size
  • magnification = 30 000 μm ÷ 150 μm = × 200

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