reflecting, spherical Christmas tree ornament has a diameter of 9.0 cm. A child looks at the ornament from a distance of 12 cm. Describe the image she sees.
f = R/2
(9/2)/2 = 2.25 cm
i = 1/(1/f - 1/o)
1/(1/2.25 - 1/12) = 1/2.769 ⇒ 0.36
I believe the image would appear upright.
The distance of the image observed by th girl is 2.77 cm.
The focal length of the lens is calculated as follows;
F = R/2
where;
R = 9 cm/2 = 4.5 cm
F = R/2
F = 4.5/2
F = 2.25 cm
The distance of the image observed by th girl is caculated as follows;
1/f = 1/v + 1/u
1/v = 1/f - 1/u
1/v = 1/2.25 - 1/12
1/v = 0.3611
v = 2.77 cm
Thus, the distance of the image observed by th girl is 2.77 cm.
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