A 35-mm camera allows you to control the diameter d of the aperture by changing the f-stop, which varies inversely with the diameter according to the formula f=55a. If f= 11, find the diameter.b. If the f-stop is doubled, by what factor will the diameter change?c. The radius r is one-half of the diameter. Describe the proportional relationship between the radius and the diameter.d. Area A is proportional to the radius squared according to the equation A = ar. What is the equation that relates area and diameter?e. What is the equation that relates area and f-stop?

As per our honor code, I have answered the first three only. a. if f =11, the diameter is

Answered: A 35-mm camera allows you to control…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter19: Interference And Diffraction

Section: Chapter Questions

Problem 62A

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Problem 8: Consider the compound optical system shown in the diagram, where two thin lenses of focal lengths 7.5 cm (left lens) and 7.5 cm (right lens) are separated by a distance 45 cm. a. If an object is placed a distance do = 17.3 cm to the left of the first lens (the left one) as shown in the figure, how far to the right of that lens, in centimeters, is the image formed? b. What is the magnification of the first lens? c. What is the object distance, in centimeters, for the second lens (the right lens)? d. What is the image distance, in centimeters, for the second lens? e. What is the magnification of the second lens?
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An object is placed to the left of a concave lens with focal length -10 cm such that the image produced by the lens is exactly half the size of the object. In a neat and organized fashion, write out a solution which includes the following: A sketch of the physical situation with all given physical quantities clearly labeled. Draw a ray diagram showing the object, the lens, and the image. Determine the location of the object and the image. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought process behind why you did that. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation. Please answer 1 and 2 only and thanks

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