For a lens with focal length f, find the smallest distance possible between the object and its real image. (b) Graph the distance between the object and the real image as a function of the distance of the object from the lens. Does your graph agree with the result you found in part (a)?
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For a lens with focal length f, find the smallest
distance possible between the object and its real image. (b) Graph
the distance between the object and the real image as a function of the
distance of the object from the lens. Does your graph agree with the
result you found in part (a)?
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- 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. р Lens +12 C, 24 (a) (b) (c) (d) (e) i m R/V I/NI SideYou have a thin, diverging lens. If the value of q (the distance from the image to the mirror along the principal axis of the mirror) is -3.57cm and the distance of p (the distance from the object to the mirror along the principal axis of the mirror) is 17.16cm, what is the focal length of the diverging lens? Object Ray 1 Principal focal point Virtual image Diverging lens Ray 1 Ray 3 Ray 2 Secondary focal point |fl ·|fl· Note: Do not explicitly include units in your answer (it is understood the unit is cm). Enter only a number. If you do enter a unit, your answer will be counted wrong.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) > >
- A fictional cosmetics company, Estee Landau, contracts with you to produce a spherical mirror that provides a magnification factor of +3.5 when held 25 cm away from a person's face. Set up an appropriate ray diagram illustrating the magnification and calculate focal length and image distances.A 4 cm tall light bulb is placed a distance of 35.5 cm from a diverging lens whose focal length magnitude is 12.2 cm. Determine the image distance from the lens, the image height, and the magnification. Put into words what your calculations physically represent about the image.A converging lens of focal length f=2 cm is used to focus the image of an object onto a screen. The object and screen are separated by 15 cm. The lens is placed between the object and the screen, at a distance from the screen such that the image of the object is focused into the screen. At what distance from the screen must the lens be placed in order to have an image magnification < 1? Provide your answer to two significant figures. distance = cm.
- Find the image distance for a diverging lens of focal length magnitude |f|=10cm for an object located a distance of 13cm in front of the lens. Find the magnification of the image in problem. Describe the image in problem.The image of the Moon is formed by a concave mirror (aka telescope) whose radius of curvature is 9.62m at a time when the Moon's angular diameter is 0.523degrees. What is the diameter (magnitude only) of the image (cm) of the moon? HINT: What is the property of the rays coming from one point on the edge of the Moon (think of the moon as being infinitely far away)? Where do those rays converge to form an image of that point? Use the small angle approximation: sin(x)=tan(x)=x for |x|<<1, when x is measured in radians.