enlargement factor of light. initially, to evaluate the enlargement factor of the shadow, we have...

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ENLARGEMENT FACTOR OF LIGHT

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Page 1: ENLARGEMENT FACTOR OF LIGHT. Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray

ENLARGEMENT FACTOR OF LIGHT

Page 2: ENLARGEMENT FACTOR OF LIGHT. Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray

Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray can not reflect all the shadow, we

try to expand the light using a bottle of water.

Page 3: ENLARGEMENT FACTOR OF LIGHT. Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray

Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray can not reflect all the shadow, we

try to expand the light using a bottle of water.

Page 4: ENLARGEMENT FACTOR OF LIGHT. Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray

Then… noticing the various imprecisions that we have made, we follow a more theoretical way, calculating

the measures of alpha angle.

AC² = AB² + BC² BC = AC * senα

senα = BC/AC α = 1 / sen ( BC/AC )

Page 5: ENLARGEMENT FACTOR OF LIGHT. Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray

Basing on the measurements taken previously, the sides of the triangles are in a proportion:

AB / AD = BC / DE = AC / AE

Page 6: ENLARGEMENT FACTOR OF LIGHT. Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray

Having a common angle, the triangles ABC and ADE are similar.

For this reason, changing the position of the side BC (screen), the ratios remain constant.

Page 7: ENLARGEMENT FACTOR OF LIGHT. Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray

Having a common angle, the triangles ABC and ADE are similar.

Having verified the similarity of the triangles, it is possible to find the

enlargement factor of the projected.

Page 8: ENLARGEMENT FACTOR OF LIGHT. Initially, to evaluate the enlargement factor of the shadow, we have used a laser source of light. Noticing that the ray

From the similarity of triangles, we can deduce that

The light spreads following straight lines

If the trajectory would be a curve, the similarities would not be observed.