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Imaging and Signalling

Measuring the power and focal length of a converging lens

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on the distant-object estimate, the illuminated-object and screen method, plotting reciprocal distances, locating the sharpest image, systematic error in the distances, and testing a very weak lens.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Describe how to determine the power of a converging lens using an illuminated object, a screen and the lens equation.

Key term

Explain why the distant-object method gives the focal length directly.

Key term

State the gradient expected from a graph of 1/v against 1/u, and what it checks.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Describe a quick method of estimating the focal length of a converging lens.

    Model answer

    Focus the image of a distant object such as a window onto a screen and measure the distance from the lens to the screen, which is the focal length.

  2. 2

    Explain why the distant-object method gives the focal length directly.

    Model answer

    Wave-fronts from a distant object arrive effectively plane, so the lens brings them to a focus in the focal plane one focal length away.

  3. 3

    Describe how to determine the power of a converging lens using an illuminated object, a screen and the lens equation.

    Model answer

    Place the illuminated object a measured distance u in front of the lens, move the screen until the image is sharpest, record v, and calculate P = 1/v − 1/u.

  4. 4

    How can several pairs of object and image distances be used to obtain a more reliable value for the power of a lens?

    Model answer

    Plot 1/v against 1/u; the result is a straight line whose intercept on the 1/v axis is the power of the lens.

  5. 5

    State the gradient expected from a graph of 1/v against 1/u, and what it checks.

    Model answer

    The gradient should be 1, which confirms the readings are consistent with the thin lens relationship.

  6. 6

    What is the main source of uncertainty when finding the focal length of a lens on an optical bench?

    Model answer

    Judging exactly where the image is sharpest, because the image stays acceptably sharp over a range of screen positions.

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