Determine the image distance d; for an object d, = 6.100 cm %3D from a diverging lens with radius of curvature R = 4.880 cm and index of refraction 1.850. Express your answer as a R positive quantity. object do |d;| = cm What is the magnification m of the object? Be sure to insert the proper sign if needed. m =

Chapter 34, Problem 013 Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +15 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 26 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number Units (b) Number Units (c) Number Units (d) (e) (f)

A double convex lens has radii of 5 cm and 20 cm, a thickness of 2 cm and an index of 1.5. Locate the principal planes and focal points and compute the image distance for an object 16.4 cm in front of V₁. Determine the ffl and bfl.

Please refer to part (a). Here, alpha (the angle at the top of the triangular prism) is 29.7 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?

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) > >

You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle 0 in radians is related to the linear height of the object h and to the distance d by 0= h/d. Assume that you are driving a car and that another car, 1.50 m high, is 22.0 m behind you. KTO & $3 m (d) What angle does the image subtend at your eyes? rad (e) Based on its angular size, how far away does the following car appear to be? m 0 1900 Per Works Inc OBJECTS IN MIRROR ARE CLOSER THAN THEY APPEAR vestest by Creators Syndicate The Far Side by Gary Larson 1985 FarWorks, Inc. All Rights Reserved. Used with permission. (a) Suppose your car has a flat passenger-side rearview mirror, 1.55 m from your eyes. How far from your eyes is the image of the car following you? m (b) What angle does the image subtend in your field of view? rad (c) Suppose instead your car has a convex rearview mirror (see figures) with a radius of curvature of magnitude 1.70 m. How far from your eyes is…

Chapter 34, Problem 011 Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +12 cm, the type of mirror is convex, and then the distance between the focal point and the mirror is 15 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number Units (b) Number Units (c) Number Units (p) (e) (f)

Homework 12 Problem 10:   Two lenses are mounted d = 27 cm apart on an optical bench. The focal length of the first lens is f1 = 5.1 cm and that of the second lens is f2 = 4.4 cm. An object of height ho = 3.5 cm is placed at a distance of do = 21 cm in front of the first lens. Part (a)  Ignoring the second lens for now, at what distance, in centimeters, behind the first lens is the object’s image formed by that lens? di = ______ Part (b)  Calculate the magnification of that image, including its sign. m = ______ Part (c)  Now consider the two-lens system and the final image it forms, i.e., the image created by the second lens. What is the distance, in centimeters, between the object and its final image? D = ______

Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), nį is the index of refraction where the object is located, n2 is the index of refraction on the other side of the refracting surface. Find (a) the image distance i, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side. (a) (b) (c) n1 n2 p ri R/V Side 1.5 1.3 +70 +56 (a) Number i Units (b) (c) > >

An object is 19.5 cm from the center of a spherical silvered-glass Christmas tree ornament 6.20 cm in diameter. ▼ Part A What is the position of its image (counting from the ornament surface)? Follow the sign rules. Express your answer with the appropriate units. s' = Submit ▾ Part B m = HA Value Submit Request Answer What is the magnification of its image? VG ΑΣΦ Units Request Answer PYREX ? ?