(8) An object of height 2.0 cm is placed 10.0 cm to the left of a converging lens. In back of this first lens is a second lens, which is also a converging lens. The bottom of the object, the center of the first lens, and the center of the second lens are all on the principal axis. The first lens has a focal length of fi = 8.0 cm. The second lens has fa = 16.0 cm. The distance between the two lenses is 20.0 cm. (a) Find the position and magnification of the image produced by the first lens. (b) Use this image as the object for the second lens. What is the final image position and magnification produced by the second lens? (c) Is the final image real or virtual? Is the final image magnified or reduced? Is the final image upright or inverted? As always, show all work for all three cases.

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Chapter1: Units, Trigonometry. And Vectors
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(8) An object of height 2.0 cm is placed 10.0 cm to the left of a converging lens. In back of this first lens is
a second lens, which is also a converging lens. The bottom of the object, the center of the first lens, and
the center of the second lens are all on the principal axis.
The first lens has a focal length of fi = 8.0 cm. The second lens has f2 = 16.0 cm. The distance between
the two lenses is 20.0 cm.
(a) Find the position and magnification of the image produced by the first lens.
(b) Use this image as the object for the second lens. What is the final image position and magnification
produced by the second lens?
(c) Is the final image real or virtual? Is the final image magnified or reduced? Is the final image upright or
inverted? As always, show all work for all three cases.
(d) A light ray with a frequency f = 6.0 x 1014 Hz in air (with n = 1.00) passes at normal incidence into
water (with n = 1.33). How many nanometers (nm) is the wavelength of the light after it enters the water?
(e) A transparent coating on the windshield of a car has an index of refraction n = 1.25. The purpose of
the coating is to reflect light away from the windshield, to reduce unwanted stray light seen by the driver,
which is called glare. The glass under this coating has n = 1.50. The coating is 101 nm thick. What is the
wavelength (in nm) of the light that is most strongly reflected?
Transcribed Image Text:(8) An object of height 2.0 cm is placed 10.0 cm to the left of a converging lens. In back of this first lens is a second lens, which is also a converging lens. The bottom of the object, the center of the first lens, and the center of the second lens are all on the principal axis. The first lens has a focal length of fi = 8.0 cm. The second lens has f2 = 16.0 cm. The distance between the two lenses is 20.0 cm. (a) Find the position and magnification of the image produced by the first lens. (b) Use this image as the object for the second lens. What is the final image position and magnification produced by the second lens? (c) Is the final image real or virtual? Is the final image magnified or reduced? Is the final image upright or inverted? As always, show all work for all three cases. (d) A light ray with a frequency f = 6.0 x 1014 Hz in air (with n = 1.00) passes at normal incidence into water (with n = 1.33). How many nanometers (nm) is the wavelength of the light after it enters the water? (e) A transparent coating on the windshield of a car has an index of refraction n = 1.25. The purpose of the coating is to reflect light away from the windshield, to reduce unwanted stray light seen by the driver, which is called glare. The glass under this coating has n = 1.50. The coating is 101 nm thick. What is the wavelength (in nm) of the light that is most strongly reflected?
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