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Our Place in the Universe

Logarithmic scales of magnitude

  • 1 thing to know
  • Components 01, 02 and 03

Overview

Recall questions on logarithmic scales and why astronomy uses them, orders of magnitude, the sizes of atoms, nuclei and the Earth, the distances to the nearest star and the edge of the observable universe, the masses of the Sun and a proton, placing values on a logarithmic scale, brightness decades, reading ratios, and why the scale has no zero.

What you need to know

Answer each one before you reveal it.

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Evaluation

What advantage does a logarithmic scale give when comparing quantities of very different size?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a logarithmic scale?

    Model answer

    It is a scale on which equal distances represent equal multiplying factors rather than equal differences.

  2. 2

    Why are logarithmic scales used for astronomical quantities?

    Model answer

    Those quantities span dozens of orders of magnitude, and only a logarithmic scale can show the very small and the very large on one axis.

  3. 3

    What is meant by an order of magnitude?

    Model answer

    It is a factor of ten, so quantities differing by three orders of magnitude differ by a factor of 1000.

  4. 4

    State the order of magnitude of the diameter of an atom.

    Model answer

    It is about 10⁻¹⁰ m.

  5. 5

    State the order of magnitude of the diameter of a nucleus.

    Model answer

    It is about 10⁻¹⁵ m.

  6. 6

    How many orders of magnitude separate the size of a nucleus from the size of an atom?

    Model answer

    About five, since 10⁻¹⁵ m and 10⁻¹⁰ m differ by a factor of 10⁵.

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