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New trends in physics teaching, v.4; The ... - unesdoc - Unesco

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<strong>New</strong> Trends <strong>in</strong> Physics Teach<strong>in</strong>g IV<br />

is convex. Hence, a convex lens can magnify <strong>in</strong> the same way as a magnify<strong>in</strong>g glass, produc<strong>in</strong>g an<br />

image larger than the object. As the water leaks out, the surface caves <strong>in</strong>, and we say it is concave.<br />

Look at the object through the water now, and you see it appears much reduced <strong>in</strong> size, as it<br />

would on look<strong>in</strong>g through the wrong end of a pair of b<strong>in</strong>oculars. Concave lenses therefore give an<br />

image reduced <strong>in</strong> size. What do we learn?<br />

Qualitative: Convex lenses (bowed out) magnify; concave lenses (bowed <strong>in</strong>) give images<br />

reduced <strong>in</strong> size.<br />

p<br />

\ I<br />

\ I<br />

Quantitative: <strong>The</strong> ray trace of the system is shown <strong>in</strong> figure 20. Look at the little square<br />

(figure 2 1 a) through the water lens. When the meniscus is convex, it looks like figure 2 1 b. This<br />

is known as barrel distortion, because the square image is distorted to look like a barrel. Distortion<br />

of this k<strong>in</strong>d occurs with all lenses hav<strong>in</strong>g spherical surfaces, such as this. When the lens<br />

becomes concave, the distortion changes and becomes p<strong>in</strong>cushion distortion (figure 2 IC).<br />

radius of<br />

surface<br />

no magnification<br />

\ I<br />

\ I<br />

\ I<br />

\ I<br />

\ I<br />

A<br />

large virtual image<br />

n- the refractive <strong>in</strong>dex.<br />

the ratio of the speed<br />

of light <strong>in</strong> air to that<br />

<strong>in</strong> the medium.<br />

flat surface<br />

\ /<br />

+ I<br />

I H<br />

I<br />

H/n<br />

Figure 20.<br />

-image of<br />

reduced size<br />

o<br />

tal<br />

Figure 21.<br />

326

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