The far point of a near-sighted person is 6.0 m from her eyes, and she wears contacts that
enable her to see distant objects clearly. A tree is 18.0 m away and 2.0 m high. (a) When she
looks through the contacts at the tree, what is its image distance? (b) How high is the image
formed by the contacts?
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The far point of a near-sighted person is 6.0 m from her eyes, and she wears contacts that
enable her to see distant objects clearly. A tree is 18.0 m away and 2.0 m high. (a) When she
looks through the contacts at the tree, what is its image distance? (b) How high is the image
formed by the contacts?
Explanation:
The far point of 6.0 cm illustrates that the focal length of the lens is f = –6.0m, u = – 18 m and h = 2m.
1/f = 1/v - 1/u
1/v = 1/f+ 1/u
= 1/-6.0 - 1/18.0
v= -4.5
To find the image size:
h' = h(v/u)
=2* {-4.5/-18.0}
=0.50meters
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