1) The figure shows a plot of the one over the object distance versus one over the image distance. The linear fit of the data points is given on the figure. Using the thin lens formula, derive an expression for the y intercepts for the graph. Use this expression to solve for the focal length of the lens. 1/di (1/cm) Y = 0.012 -0.980 X 1/do (1/cm) 2) Why is it better to use the graph and the best fit line than to use the image and object distance to directly calculate the focal length?

1) The figure shows a plot of the one over the object distance versus one over the image distance. The linear fit of the data points is given on the figure. Using the thin lens formula, derive an expression for the y intercepts for the graph. Use this expression to solve for the focal length of the lens. 1/di (1/cm) Y = 0.012 -0.980 X 1/do (1/cm) 2) Why is it better to use the graph and the best fit line than to use the image and object distance to directly calculate the focal length?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter26: Vision And Optical Instruments

Section: Chapter Questions

Problem 6CQ: It has become common to replace the cataractclouded lens of the eye with an internal lens. This...

See similar textbooks

Similar questions

How far from the lens must the film in a camera be, if the lens has a 35.0-mm focal length and is being used to photograph a flower 75.0 cm away? Explicitly show how you follow the steps in the Problem-solving strategy: Lenses.
A nearsighted person cannot see objects clearly beyond 25.0 cm (her far point). If she has no astigmatism and contact lenses are prescribed for her, what (a) power and (b) type of lens are required to correct her vision?
It has become common to replace the cataractclouded lens of the eye with an internal lens. This intraocular lens can be chosen so that the person has perfect distant vision. Will the person be able to read without glasses? If the person was nearsighted, is the power of the intraocular lens greater or less than the removed lens?
The power for normal distant vision is 50.0 D. A severely myopic patient has a far point of 5.00 cm. By how many diopters should the power of his eye be reduced in laser vision correction to obtain normal distant vision for him?
The contact-lens prescription for a nearsighted person is —4.00 D and the person has a far point of 22.5 cm. What is the power of the tear layer between the cornea and the lens if the correction is ideal, taking the tear layer into account?
(a) The print in many books averages 3.50 mm in height. How high is the image at the print on the retina when the book is held 30.0 cm from the eye? (b) Compare the size of the print to the sizes of rods and cones in the fovea and discuss the possible details observable in the letters. (The eye-brain system can perform better because of interconnections and higher order image processing.)
A diverging lens has a focal length of 20.0 cm. Use graph paper to construct accurate ray diagrams for object distance of (a) 40.0cm and (b) 10.0 cm. In each case, determine the location of the image from the diagram and the image magnification, and state whether the image is uptight or inverted. (c) Estimate the magnitude of uncertainty in locating the points in the graph. Are your answers and the uncertainty consistent with the algebraic answers found in Problem 33?
Suppose a certain person’s visual acuity is such that he can see objects clearly that term an image 4.00 m high on his retina. What is the maximum distance at which he can read the 75.0 cm high letters on the side of an airplane?
. (a) In a camera equipped with a 50-mm focal-length lens, the maximum distance that the lens can be from the film is 60 mm. What is the smallest distance an object can be from the camera if its image on the film is to be in focus? What is the magnification? (b) An extension tube is added between the lens and the camera body so that the lens can be positioned 100 mm from film. How close can the object be now? What is the magnification?
Construct Your Own Problem Consider a telescope of the type used by Galileo, having a convex objective and a concave eyepiece as illustrated in part (a) of Figure 2.40. Construct a problem in which you calculate the location and size of the image produced. Among the things to be considered are the focal lengths of the lenses and their relative placements as well as the size and location of the object. Verify that the angular magnification is greater than one. That is, the angle subtended at the eye by the image is greater than the angle subtended by the object.
A diverging lens has a focal length of 20 cm. What is the power of the lens in diopters?
Where does an object need to be placed relative to a microscope for its 0.50 cm-focal length objective to produce a magnification of —400?