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Mathematical Requirements (Appendix C)

Uncertainty and how uncertainties combine

  • 3 things to know
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Overview

Recall questions on Uncertainty and how uncertainties combine.

What you need to know

Answer each one before you reveal it.

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Key term

Why is a long, thin wire preferred in a Young modulus experiment?

Key term

How do you determine the uncertainty in a quantity calculated by addition or subtraction?

Key term

How do you determine the uncertainty in a quantity calculated by multiplication or division?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    In what types of physics calculations might you use ratios, fractions, or percentages?

    Model answer

    In calculations involving efficiency, proportional relationships, percentage uncertainties, or comparing quantities.

  2. 2

    When calculating the gradient of a linear graph, why should you select two points that are far apart on the line?

    Model answer

    To minimise the percentage error in reading values and improve accuracy of the gradient calculation.

  3. 3

    Why is a long, thin wire preferred in a Young modulus experiment?

    Model answer

    A long, thin wire produces a larger extension for a given force, reducing the percentage uncertainty in extension measurements.

  4. 4

    How do you determine the uncertainty in a quantity calculated by addition or subtraction?

    Model answer

    Add the absolute uncertainties of the quantities involved.

  5. 5

    How do you determine the uncertainty in a quantity calculated by multiplication or division?

    Model answer

    Add the percentage uncertainties of the quantities involved.

  6. 6

    When a quantity is raised to a power, how is the percentage uncertainty affected?

    Model answer

    The percentage uncertainty is multiplied by the power.

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