Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 31, Problem 30E
You’re underwater, looking through a spherical air bubble (Fig. 31.35). What’s its actual diameter if it appears, along your line of sight, to be 1.5 cm in diameter?
FIGURE 31.35 Exercise 32
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The smallest object we can resolve with our eye is limited by the size of the light receptor cells in the retina. In order for us to distinguish any detail in an object, its image cannot be any smaller than a single retinal cell. Although the size depends on the type of cell (rod or cone), a diameter of a few microns 1mm2 is typical near the center of the eye. We shall model the eye as a sphere 2.50 cm in diameter with a single thin lens at the front and the retina at the rear, with light receptor cells 5.0 mm in diameter. (a) What is the smallest object you can resolve at a near point of 25 cm? (b) What angle is subtended by this object at the eye? Express your answer in units of minutes (1° = 60 min), and compare it with the typical experimental value of about 1.0 min.
The smallest object we can resolve with our eye is limited by the size of the light receptor cells in the retina. In order for us to distinguish any detail in an object, its image cannot be any smaller than a single retinal cell. Although the size depends on the type of cell (rod or cone), a diameter of a few microns 1mm2 is typical near the center of the eye. We shall model the eye as a sphere 2.50 cm in diameter with a single thin lens at the front and the retina at the rear, with light receptor cells 5.0 mm in diameter. (a) What is the smallest object you can resolve at a near point of 25 cm? (b) What angle is subtended by this object at the eye? Express your answer in units of minutes 11° = 60 min2, and compare it with the typical experimental value of about 1.0 min
Chapter 31 Solutions
Essential University Physics (3rd Edition)
Ch. 31.1 - You stand in front of a plane mirror whose top is...Ch. 31.1 - Where would you place an object so that its real...Ch. 31.2 - Prob. 31.3GICh. 31.3 - A thin lens has focal length +50 cm. Which of the...Ch. 31.4 - If you look backward through a refracting...Ch. 31 - How can you see a virtual image, when its not...Ch. 31 - Under what circumstances will the image in a...Ch. 31 - If you're handed a converging lens, what can you...Ch. 31 - A diverging lens always makes a reduced image....Ch. 31 - Is there any limit to the temperature you can...
Ch. 31 - Can a concave mirror make a reduced real image? A...Ch. 31 - If you placed a screen at the location of a...Ch. 31 - If you look into the bowl of a metal spoon, you...Ch. 31 - Is the image on a movie screen real or virtual?...Ch. 31 - Does a fish in a spherical bowl appear larger or...Ch. 31 - A block of ice contains a hollow, air-filled space...Ch. 31 - The refractive index of the human cornea is about...Ch. 31 - Do you want a long or short focal length for a...Ch. 31 - Prob. 14FTDCh. 31 - A shoe store uses small floor-level mirrors to let...Ch. 31 - A candle is on the axis of a 15-cm-focal-length...Ch. 31 - Prob. 17ECh. 31 - A virtual image is located 40cm behind a concave...Ch. 31 - (a) Where on the axis of a concave mirror would...Ch. 31 - A lightbulb is 56 cm from a convex lens. Its image...Ch. 31 - By what factor is the image magnified for an...Ch. 31 - A lens with 50-cm focal length produces a real...Ch. 31 - By holding a magnifying glass 25 cm from your desk...Ch. 31 - A real image is four times as far from a lens as...Ch. 31 - Prob. 25ECh. 31 - Youre writing specifications for a new line of...Ch. 31 - Prob. 27ECh. 31 - The bottom of a swimming pool looks to be 1.5 m...Ch. 31 - Prob. 29ECh. 31 - Youre underwater, looking through a spherical air...Ch. 31 - You have to hold a book 55 cm from your eyes for...Ch. 31 - What focal length should you specify if you want a...Ch. 31 - Youre an optometrist helping a nearsighted patient...Ch. 31 - A particular eye has a focal length of 2.0 cm...Ch. 31 - A compound microscope has objective and eyepiece...Ch. 31 - (a) Find the focal length of a concave mirror if...Ch. 31 - A 12-mm-high object is 10cm from a concave mirror...Ch. 31 - Repeat Problem 37 for a convex mirror, assuming...Ch. 31 - An objects image in a 27-cm-focal-length concave...Ch. 31 - Youre asked to design a concave mirror that will...Ch. 31 - Viewed from Earth, the Moon subtends an angle of...Ch. 31 - Prob. 42PCh. 31 - LCD projectors commonly used for computer and...Ch. 31 - An object 15 cm from a concave mirror has a...Ch. 31 - How far from a page should you hold a lens with...Ch. 31 - A converging lens has focal length 4.0 cm. A...Ch. 31 - A lens has focal length f = 35 cm. Find the type...Ch. 31 - How far apart are the object and image produced by...Ch. 31 - A candle and a screen are 70cm apart. Find two...Ch. 31 - Prob. 50PCh. 31 - How far from a 25-cm-focal-length lens should you...Ch. 31 - An object and its lens-produced real image are 2.4...Ch. 31 - An object is 68 cm from a plano-convex lens whose...Ch. 31 - Prob. 54PCh. 31 - Rework Example 31.4 for a fish 15.0 cm from the...Ch. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - A contact lens is in the shape of a convex...Ch. 31 - For what refractive index would the focal length...Ch. 31 - An object is 28 cm from a double-convex lens with...Ch. 31 - Youre an optician whos been asked to design a new...Ch. 31 - A double-convex lens with equal 28.5-cm curvature...Ch. 31 - An object placed 17.5 cm from a convex lens of...Ch. 31 - Youre taking a photography class, working with a...Ch. 31 - A camera can normally focus as close as 60cm, but...Ch. 31 - A 300-power compound microscope has a...Ch. 31 - To the unaided eye, Jupiter has an angular...Ch. 31 - A Cassegrain telescope like that shown in Fig....Ch. 31 - You stand with your nose 6.0 cm from the surface...Ch. 31 - A contact lens prescription calls for...Ch. 31 - Show that placing a 1-diopter lens in front of a...Ch. 31 - Derive an expression for the thickness t of a...Ch. 31 - Show that identical objects placed equal distances...Ch. 31 - Generalize the derivation of the lensmakers...Ch. 31 - Draw a diagram like Fig. 31.10, but showing a ray...Ch. 31 - Prob. 76PCh. 31 - The maximum magnification of a simple magnifier...Ch. 31 - Chromatic aberration results from variation of the...Ch. 31 - For visible wavelengths, the refractive index of...Ch. 31 - The table below shows measurements of...Ch. 31 - Zooming your camera's lens for telephoto shots...Ch. 31 - Increasing the f-ratio from 2.8 to 5.6 a....Ch. 31 - Youre given two lenses with different diameters....Ch. 31 - If a lens suffers from spherical aberration,...
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