For safety reasons, you install a rear-window lens with a -0.299 m focal length in your van. Before putting the van in reverse, you look through the lens and see the image of a person who appears to be 0.339 m tall and 0.243 m behind the van. Determine the following. (a) actual distance of the person behind the van m (b) height of the person
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- An object of height 5.50 cm is placed 33.0 cm to the left of a converging lens with a focal length of 10.5 cm. Determine the image location in cm, the magnification, and the image height in cm. HINT (a) the image location in cm cm (b) the magnification (c) the image height in cm cm (d) Is the image real or virtual? O real virtual (e) Is the image upright or inverted? O upright O invertedSpherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +23 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 14 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 cm -23 (b) Number UnitšT cm 37.1 (c) Number T2.85 UnitšT This answer has no units v (d) real (e) inverted (f) sameSpherical 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 convex, and then the distance between the focal point and the mirror is 30 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 (b) Number Units Units (c) Number Units (d) (e) (f) >
- An object is in front of a converging lens with a focal length of 20.0 cm. The image seen has a magnification of -2.90. (Include the sign of the values in your answers. (a) How far is the object from the lens? cm (b) If the object has a height of -18.0 cm because it points below the principal axis (it is inverted), what is the image height h? cmAn object of height 5.25 cm is placed at a distance of 20.5 cm from the convex lens. Whose focal length is 12 cm. Then Calculate the following: (a) The position of the image in cm from the lens: Answer for part 1 (b) The magnification of the lens (Only magnitude): Answer for part 2 (c) Height of the image formedA 1.00-cm-high object is placed 4.30 cm to the left of a converging lens of focal length 8.45 cm. A diverging lens of focal length -16.00 cm is 6.00 cm to the right of the converging lens. Find the position and height of the final image. position 188.8 height 26.048 X cm in front of the second lens X cm
- An object that is 6.00 cm tall is placed 4.00 cm from the surface of the diverging lens.The magnitude of the focal length is 20.0 cm. a)Find the image position and the size b)Is the image real or virtual? Justify. (c)Is the image upright or inverted? Justify(a) As shown in Fig. la, the object and the screen is separated by 1 = 100cm. When we put a convex lens in the middle point between the object and the screen, a clear image is formed on the screen. What is the focal length of the lens? You may use either ABCD matrix or other methods. 100cm Fig. la (b) Now we replace the lens in (a) with an unknown lens (focal length f), as shown in Fig. 1b. Assume the distance between the object and the lens is S cm, what is the ABCD matrix from the object to the screen? What can we know about this matrix if a clear image is formed on the screen? 100cm P1 20cm P2 Fig. 1b (c) When we move the lens back and forth, we find that there exist two positions (Pl and P2 as shown in Fig. 1b) where clear image can be formed on the screen. The separation between the two positions is measured to be 20 cm. Is the unknown lens convex or concave? What is the focal length? Hint: The solution of a quadratic equation ax +bx+c=0 is -b±yb² – 4ac 2aA converging lens has a focal length of 18.4 cm. Construct accurate ray diagrams for object distances of (1) 6.13 cm and (i) 92.0 cm. (a) From your ray diagrams, determine the location of each image. Image (1) distance 9.19 cm location in front of the lens Image (ii) distance 0.043 (b) Is the image (1) real or virtual? real o virtual cm location on the back side of the lens: Is the image (ii) real or virtual? o real virtual (c) Is the image (i) upright or inverted? o upright inverted Is the image (ii) upright or inverted? upright o inverted #✓ (d) What is the magnification of the image? Image (i) 1.5 Image (1) -0.000045 (e) Compare your results with the values found algebraically. This answer has not been graded yet. (f) Comment on difficulties in constructing the graph that could lead to differences between the graphical and algebraic answers.
- Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +21 centimeters, the type of mirror is convex, and then the distance between the focal point and the mirror is 14 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.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 mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is p; = +20 cm, the type of mirror is convex, and then the distance between the focal point and the mirror is 34 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 i Units (c) Number Units (d) (e) (f) > >