An object 0.3-cm high is 10.0 cm in front of a concave mirror with a center of curvature (C) equal to 12.0 cm. Using ray diagram, find the location of image (in front or behind the mirror) and its other characteristics (diminished or magnified, virtual or real, upright or inverted)
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- The spherical side mirror on a car is convex and has a radius of curvature of 23 cm. Another car is following, 2.2 m behind the mirror. If the height of the car is 1.15 m, how tall is its image?For spherical mirrors, Object O stands on the central axis. In following situations as listed in the table including the object distance p in cm, the type of mirror, and the focal length fin cm (absolute value). Determine (including signs) the radius of curvature r, the image distance i, magnification m, whether the image is real (R) or virtual (V), inverted (1) or non-inverted (NI), and on the same side (S) or opposite side (O). р Mirror, f r m R/V I/NI Side (S/O) 3 Concave, 6 10 Concave, 30 6 Convex, 12 30 Concave, 15 20 Convex, 30 12 Convex, 8You 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…
- A convex mirror (diverging) has a focal length of magnitude f. An object is placed in front of this 2 mirror at a point f from the face of the mirror. The image will appear at a distance of 2/5 f from the mirror, virtual, upright and reduced. O2 f from the mirror, virtual, inverted, and diminished O 1/2 f from the mirror, virtual, upright, inverted and enlarged. O 5/2 f from the mirror, real, inverted, and enlarged. 3f from the mirror, real, upright, and enlargedA concave spherical mirror has a radius of curvature whose absolute value is 17.2 cm . An object is placed at a distance 6.95 cm in front of the mirror. a) Calculate the image distance of the object, including appropriate sign (give answer in cm). B) Calculate the magnification of the image, including appropriate signYou are given a circular plane mirror of diameter 6.0 cm. Consider, by drawing, the field of view (in image space) for a point P located on the axis at a distance 10.0 cm to the left of the mirror. What is the half field angle?
- A concave spherical mirror has a radius of curvature of magnitude 20.6 cm. (a) Find the location of the image for the following object distances. (If there is no image formed enter "NONE".) object distance (cm) image distance (cm) location 41.0 in front of the mirror 20.6 in front of the mirror 10.3 There is no image formed. (b) For each case, state whether the image is real or virtual. object distance (cm) real/virtual 41.0 20.6 10.3 (c) For each case, state whether the image is upright or inverted. object distance (cm) real/virtual 41.0 20.6 10.3 real real There is no image formed. 20.6 10.3 inverted inverted There is no image formed. ✓ (d) Find the magnification in each case. (If there is no image formed enter "NONE".) object distance (cm) magnification 41.0More mirrors. Object O stands on the central axis of a spherical or plane mirror. For this situation (see the table below, all distances are in centimeters), find (b) the focal distance f, (c) the object distance, (d) the magnification (including sign), whether (e) the image is real or virtual, (f) inverted (1) or noninverted (NI) from O, and (g) on the same side of the mirror as object O or on the opposite side. (b) Number i tel (c) Number i (d) Number i (a) (b) Type f -50 Units Units Units (c) Р (d) (e) (f) (g) i m R/V I/NI Side -7.8 >A real object is 65 cm from a concave mirror. Find the radius of curvature of the mirror, knowing that (a) the image is real and reduced by 49%, (b) the image is real and magnified by 28%; (b) the image is virtual and enlarged by 78%.