The Magnification Formula

The formula triangle:

M = I ÷ A

  • M = Magnification (no units: it's a ratio)
  • I = Image size (the size on the paper/screen)
  • A = Actual size (the real size of the specimen)

Rearranged:

  • Actual size: A = I ÷ M
  • Image size: I = A × M

Unit Conversions

This is where most marks are lost. Both measurements must be in the same unit before you divide.

  • 1 mm = 1000 μm (micrometres)
  • 1 μm = 1000 nm (nanometres)
  • 1 cm = 10 mm = 10,000 μm

Common scenario: The image size is measured in mm (from the diagram) and the actual size is given in μm. Convert mm → μm by multiplying by 1000, then divide.

Example: Image size = 50 mm, actual size = 100 μm.
Convert: 50 mm = 50 × 1000 = 50,000 μm.
M = 50,000 ÷ 100 = ×500.

Microscope Types and Resolution

Light microscope:

  • Maximum useful magnification: about ×1500.
  • Can see cells, nuclei, chloroplasts, vacuoles.
  • Uses light and glass lenses.
  • Specimens can be living.

Electron microscope (Supplement):

  • Much higher magnification (up to ×500,000) and resolution.
  • Can see ribosomes, mitochondria internal structure, cell membranes.
  • Uses a beam of electrons.
  • Specimens must be dead (placed in a vacuum).

Resolution is the ability to distinguish between two objects that are close together. A higher resolution means you can see finer detail. The electron microscope has a much higher resolution than the light microscope.