EXERCISES 3-1. Compute the change in the position of the image formed by a lens with 6 m from the lens to infinity. 3-2. A point source of light that is not exactly in focus produces a disk image at the retina. Assume that the image is acceptable provided the image diameter of the defocused point source is less than a. Show that the depth of field is inversely proportional to the diameter of the aperture. 3-3. Using data presented in the text, calculate the focusing power of the cornea and of the crystalline lens. 3-4. Calculate the refractive power of the cornea when it is in contact with water. The index of refraction for water is 1.33. 3-5. Calculate the focusing power of the lens in the fish eye. Assume that the lens is spherical with a diameter of 2 mm. (The indices of refraction are as in Table 3.1.) The index of refraction for water is 1.33. 3-6. Calculate the distance of the point in front of the cornea at which parallel light originating inside the reduced eye is focused. 3-7. Using the dimensions of the reduced eye (Fig. 3.5), calculate the angular resolution of the eye (use Fig. 3.6 as an aid) (a) with a single unexcited cone between points of excitation (b) with four unexcited cones between areas of excitation. 3-8. Calculate the distance from which a person with good vision can see the whites of another person's eyes. Use data in the text and assume the size of the eye is 1 cm. 3-9. Calculate the size of the retinal image of a 10-cm leaf from a distance of 500 m. 41
EXERCISES 3-1. Compute the change in the position of the image formed by a lens with 6 m from the lens to infinity. 3-2. A point source of light that is not exactly in focus produces a disk image at the retina. Assume that the image is acceptable provided the image diameter of the defocused point source is less than a. Show that the depth of field is inversely proportional to the diameter of the aperture. 3-3. Using data presented in the text, calculate the focusing power of the cornea and of the crystalline lens. 3-4. Calculate the refractive power of the cornea when it is in contact with water. The index of refraction for water is 1.33. 3-5. Calculate the focusing power of the lens in the fish eye. Assume that the lens is spherical with a diameter of 2 mm. (The indices of refraction are as in Table 3.1.) The index of refraction for water is 1.33. 3-6. Calculate the distance of the point in front of the cornea at which parallel light originating inside the reduced eye is focused. 3-7. Using the dimensions of the reduced eye (Fig. 3.5), calculate the angular resolution of the eye (use Fig. 3.6 as an aid) (a) with a single unexcited cone between points of excitation (b) with four unexcited cones between areas of excitation. 3-8. Calculate the distance from which a person with good vision can see the whites of another person's eyes. Use data in the text and assume the size of the eye is 1 cm. 3-9. Calculate the size of the retinal image of a 10-cm leaf from a distance of 500 m. 41
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Hello.
May you please help me with the Solutions of Question (3-4) and (3-8) from the picture below.
Since in the book , it's written that the answer for:-
Question (3-4) is 1/f= -0.39diopters.
And,
Question (3-8) is D=20m.
May you please Guide me with the way to reach the above answers for the above Questions as in the picture below.
Thank you.
Transcribed Image Text:Chapter | 3 Optics
38
EXERCISES
3-1. Compute the change in the position of the image formed by a lens with 6 m from the
lens to infinity.
3-2. A point source of light that is not exactly in focus produces a disk image at the retina.
Assume that the image is acceptable provided the image diameter of the defocused
point source is less than a. Show that the depth of field is inversely proportional to
the diameter of the aperture.
3-3. Using data presented in the text, calculate the focusing power of the cornea and of
the crystalline lens.
3-4. Calculate the refractive power of the cornea when it is in contact with water. The
index of refraction for water is 1.33.
3-5. Calculate the focusing power of the lens in the fish eye. Assume that the lens is
spherical with a diameter of 2 mm. (The indices of refraction are as in Table 3.1.) The
index of refraction for water is 1.33.
3-6. Calculate the distance of the point in front of the cornea at which parallel light
originating inside the reduced eye is focused.
3-7. Using the dimensions of the reduced eye (Fig. 3.5), calculate the angular resolution
of the eye (use Fig. 3.6 as an aid) (a) with a single unexcited cone between points of
41
excitation (b) with four unexcited cones between areas of excitation.
3-8. Calculate the distance from which a person with good vision can see the whites of
another person's eyes. Use data in the text and assume the size of the eye is 1 cm.
3-9. Calculate the size of the retinal image of a 10-cm leaf from a distance of 500 m.
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