4. Polystyrene with an index of refraction of 1.55 is used to create a thin lens. The front surface of the lens is concave with a 30.0 cm radius of curvature. The back surface is convex with a 26.0 cm radius of curvature. The image produced by the lens is 12.0 cm in front of the lens. a) What is the value for f, the focal length, of the lens in cm? b) Determine the magnification produced by the lens. c) A second lens with a focal length of +18.0 cm is placed 30.0 cm behind the first lens. Determine the location of the final image, i2 , produced by the two-lens system in centimeters.

4. Polystyrene with an index of refraction of 1.55 is used to create a thin lens. The front surface of the lens is concave with a 30.0 cm radius of curvature. The back surface is convex with a 26.0 cm radius of curvature. The image produced by the lens is 12.0 cm in front of the lens. a) What is the value for f, the focal length, of the lens in cm? b) Determine the magnification produced by the lens. c) A second lens with a focal length of +18.0 cm is placed 30.0 cm behind the first lens. Determine the location of the final image, i2 , produced by the two-lens system in centimeters.

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(a) Find the location of the final image relative to lens 2. State how far away the final image is from lens 2 and whether it is to the left (front) or to the right (back) of lens 2. (b) Draw a ray diagram of the two-lens system. Include the first object, first image or second object, and the second (final) image. To have more room to write your ray diagram, you may re-draw the lenses on a separate sheet of paper along with the first object, first image = second object, and third final image. Include at least two principal rays for indicating the first image and second image. (c)Is the final image real or virtual? Is the final image upright or inverted? Explain. You may use your ray diagram to support your conclusions.
Figure QB1e shows the layout of a pair of lenses, lens 1 and lens 2.Lens 1 has a focal length of 8.0cm, while lens 2 has a focal length of12cm. The final image is observed 17.5cm to the right of lens 2.Determine the combined vertical magnification of this two-lens systemand hence determine whether the final image is inverted or upright.
Part A: State the characteristics of the image formed by a converging lens when the object is distance is less than the focal length of the lens. An object (2.0 mm high) is place at a distance of 30 cm in front of a diverging lens of focal length 20 cm. Calculate the image distance of the image produced by the lens and verify all the characteristics listed in question (2).
Astandardized biological microscope has an 4.0-mm-focal-length objective. You may want to review (Pages 1005 - 1007) Part A For help with math skills, you may want to review: What focal-length eyepiece should be used to achieve a total magnification of 200x? Express your answer to two significant figures and include the appropriate units. Rearrangement of Equations Involving Multiplication and Division For general problem-solving tips and strategies for this topic, you may want to viewa Video Tutor Solution of Magnifier. HẢ feye = Value Units
Thin lenses. Object O stands on the central axis of a thin symmetric lens. For this situation, each problem in the table (below) gives object distance p (centimeters), the type of lens (C stands for converging and D for diverging), and then the distance (centimeters, without proper sign) between a focal point and the lens. Find (a) the image distance i and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real or virtual, (d) inverted from object O or noninverted, and (e) on the same side of the lens as object O or on the opposite side. (a) (b) (c) (d) (e) Lens i m R/V I/NI Side +14 C, 24 (a) Number Units (b) Number i Units (c) (d) (e) > >
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