Optics The equation 1 1 1 f р 9 sometimes called lens-maker's equation, gives the relationship between the focal length f of a thin lens, the distance p of the object from the lens, and the distance q of its image from the lens. We can think of the eye as an optical system in which the ciliary muscle constantly adjusts the curvature of the cornea-lens system to focus the image on the retina. Assume that the distance from the cornea to the retina is 2.5 cm, as shown in the figure below. Object Image -2.5 cm Ⓡ (a) Find the focal length of the cornea-lens system if an object located 56 cm away is to be focused on the retina. (Round your answer to two decimal places.) cm (b) What is the rate of change of the focal length with respect to the distance of the object when the object is 56 cm away? (Round your answer to five decimal places.) cm/cm

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter7: Optics And Wave Effects
Section: Chapter Questions
Problem 16E: An object is placed in front of a converging lens at an object distance of twice the focal length of...
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Optics The equation
1-1+1
=
f
р
sometimes called a lens-maker's equation, gives the relationship between the focal length f of a thin lens, the distance p of the object from the lens, and the distance q of its image from the lens.
We can think of the eye as an optical system in which the ciliary muscle constantly adjusts the curvature of the cornea-lens system to focus the image on the retina. Assume that the distance from the
cornea to the retina is 2.5 cm, as shown in the figure below.
Object
Image
2.5 cm
(a) Find the focal length of the cornea-lens system if an object located 56 cm away is to be focused on the retina. (Round your answer to two decimal places.)
cm
(b) What is the rate of change of the focal length with respect to the distance of the object when the object is 56 cm away? (Round your answer to five decimal places.)
cm/cm
Transcribed Image Text:Optics The equation 1-1+1 = f р sometimes called a lens-maker's equation, gives the relationship between the focal length f of a thin lens, the distance p of the object from the lens, and the distance q of its image from the lens. We can think of the eye as an optical system in which the ciliary muscle constantly adjusts the curvature of the cornea-lens system to focus the image on the retina. Assume that the distance from the cornea to the retina is 2.5 cm, as shown in the figure below. Object Image 2.5 cm (a) Find the focal length of the cornea-lens system if an object located 56 cm away is to be focused on the retina. (Round your answer to two decimal places.) cm (b) What is the rate of change of the focal length with respect to the distance of the object when the object is 56 cm away? (Round your answer to five decimal places.) cm/cm
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