4.1 – Verifying the Lens Equation (Leaving Cert Physics): Flashcards

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4.1 – Verifying the Lens Equation
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Lens equation formula

1f=1u+1v\frac{1}{f} = \frac{1}{u} + \frac{1}{v}

Symbol ff in lens equation

Focal length of the lens

Symbol uu in lens equation

Object distance (object to lens)

Symbol vv in lens equation

Image distance (lens to image)

Condition for real image with converging lens

Object distance uu must be greater than focal length ff

How to estimate focal length initially

Focus lens on distant object, measure image to lens distance

Minimum trials in lens equation experiment

At least 5 (some magnified, some diminished images)

Method 1 to verify lens equation

Calculate ff for each trial, find average, compare to known ff

Method 2 to verify lens equation

Plot 1u\frac{1}{u} vs 1v\frac{1}{v}, check for straight line

Value of intercepts on 1u\frac{1}{u} vs 1v\frac{1}{v} graph

Both intercepts equal 1f\frac{1}{f}

Shape of 1u\frac{1}{u} vs 1v\frac{1}{v} graph

Straight line with negative slope

Random error source: judging sharp focus

Affects accuracy of measuring vv (image distance)

Systematic error: measuring to lens surface not centre

Introduces error in both uu and vv measurements

Parallax error in lens experiment

Reading metre stick from inconsistent angles (systematic if always same wrong angle, random if varying)

If no clear image forms on screen, likely problem

Object distance uu is less than focal length ff

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