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Lab & Pre-lab #11

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Lenses and Images v 0.1<br />

Step 5: Measure the height of the image, h i , and the height of the object, h o , and record these.<br />

Also note whether the object is inverted or erect. Then calculate the ratios of the image<br />

and object heights, and the image and object distances.<br />

measured: h i = cm measured: h o = cm<br />

measured: h i /h o = measured: d i /d o =<br />

Question 1.6 Is the ratio of the measured heights of the image and object nearly equal<br />

to the ratio of the measured distances Again, discuss the accuracy with which you could<br />

measure these quantities to draw a fair conclusion about their equality.<br />

There is an algebraic equation that relates the object distance, d 0 , (the distance from<br />

the lens to the object), the image distance, d i , (distance from lens to the position of the<br />

image), and the focal length, f, of the lens. This relationship involves the power of the<br />

lens, which is inversely proportional to the focal length (shorter focal length means greater<br />

power).<br />

1<br />

+ 1 = 1 thin lens formula<br />

d o d i f<br />

.<br />

Question 1.7 Using the formula above calculate the image distance given that f = 15cm,<br />

and d o = 20cm. Compare this with your measured value, again taking into account the<br />

precision in your measurement of the image and object distances.<br />

Measured: d i =<br />

cm.<br />

<strong>Pre</strong>diction 1.2 What will happen if the distance from the lens to the object is increased<br />

Will the image distance get shorter or longer Will the image get larger or smaller To<br />

make this prediction, make a ray diagram with the object farther from the lens than the<br />

previous one. A scale drawing is provided in Fig. 7.<br />

Now test your predictions.<br />

Step 6: Move the lens so that it is at least 30cm from the F-diaphragm.<br />

Step 7: Move the white screen until you find a position at which a clear image is formed.<br />

Step 8: Measure the object and image distances, and the height of the object and image.<br />

Record the measurements below.<br />

d i = cm d o = cm<br />

h i = cm h o = cm<br />

PHYS-204: Physics II <strong>Lab</strong>oratory 7

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