One end of a long glass rod (n = 1.50) is formed into a convex surface with a radius of curvature of magnitude 6.00 cm. An object is located in air along the axis of the rod. Find the image positions corresponding to object distances of (a) 20.0 cm, (b) 10.0 cm, and (c) 3.00 cm from the convex end of the rod.
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- A concave spherical mirror has a radius of curvature of magnitude 19.0 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 40.8 x Enter a number. 19.0 9.5 NONE (b) For each case, state whether the image is real or virtual. object distance (cm) real/virtual 40.8 19.0 9.5 40.8 19.0 (c) For each case, state whether the image is upright or inverted. object distance (cm) real/virtual 40.8 19.0 9.5 9.5 in front of the mirror in front of the mirror There is no image formed. real real There is no image formed. (d) Find the magnification in each case. (If there is no image formed enter "NONE".) object distance (cm) magnification inverted inverted There is no image formed. ✓X X Enter a number. Enter a number. NONEIn a simplified model of the human eye, the aqueous and vitreous humors and the lens all have a refractive index of 1.40, and all the bending occurs at the cornea, whose vertex is 2.75cm from the retina. What should be the radius of curvature of the cornea such that the image of an object 60.0cm from the cornea’s vertex is focused on the retina?Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is p5 = +24 centimeters, the type of mirror is convex, and then the distance between the focal point and the mirror is 44 cm (without proper sign). Find (a) the radius of curvaturer (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 i (b) Number i (c) Number (d) (e) (f) MI Units Units Units
- Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +20 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 13 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 lens forms an image of an object. The object is 16.0 cm from the lens. The image is 12.0 cm from the lens on the same side as the object. (a) What is the focal length of the lens? Is the lens converging or diverging? (b) If the object is 8.50 mm tall, how tall is the image? Is it erect or inverted? (c) Draw a principal-ray diagram.An object 2.00 cm high is placed 20.00 cm from a concave mirror of radius of curvature 50 cm. Determine: a) The position of the image b) The magnification of the mirror
- A jellyfish is floating in a water-filled aquarium 1.46 m behind a flat pane of glass 3.90 cm thick and having an index of refraction of 1.5. (The index of refraction of water is 1.33.) (a) Where is the image of the jellyfish located? (Find the location of the final image, taking the inside and outside surfaces of the pane of glass as two refracting surfaces. Use a negative number to indicate the image is in the tank. Measure the distance from the air- glass interface. Enter your answer to three decimal places.) (b) Repeat the problem when the glass is so thin that its thickness can be neglected. (Use a negative number to indicate the image is in the tank. Enter your answer to three decimal places.)A thin lens is comprised of two spherical surfaces with radii of curvatures of 58.9 cm for the front side and -60 cm for the back side. The material of which the lens is composed has an index of refraction of 1.65. What is the magnification of the image formed by an object placed 33.4 cm from the lens?(a)A goldfish is swimming at 5.40 cm/s toward the front wall of a rectangular aquarium. What is the apparent speed (in cm/s) of the fish measured by an observer looking in from outside the front wall of the tank?_____cm/s (b)What If? The fish is now gently transferred to a spherical bowl with a radius of curvature R = 30.0 cm. If it again swims at 5.40 cm/s along a radial line toward the outside of the bowl, what is the apparent speed (in cm/s) of the fish measured by an observer looking in from outside the front wall of the tank, when the fish is 3.80 cm from the wall?_____cm/s
- . The left end of a long glass rod 8.00 cm in diameter, with an index of refraction of 1.60, is ground and polished to a convex hemispherical surface with a radius of 4.00 cm. An object in the form of an arrow 1.50 mm tall, at right angles to the axis of the rod, is located on the axis 24.0 cm to the left of the vertex of the convex surface. a) Find the position and height of the image of the arrow formed by paraxial rays incident on the convex surface. b) Is the image erect or inverted?A thick-walled wine goblet can be considered to be a hollow glass sphere with an outer radius of 4.10 cmcm and an inner radius of 3.60 cmcm. The index of refraction of the goblet glass is 1.50. (a) A beam of parallel light rays enters the side of the empty goblet along a horizontal radius. Where, if anywhere, will an image be formed? (b) The goblet is filled with white wine (nn = 1.37). Where is the image formed? Use the image from the previous part as the object for the second surface (the inner wall of the same side of the goblet) and find the position of the second image. Express your answer with the appropriate units.In a simplified model of the human eye, the aqueous and vitreous humors and the lens all have a refractive index of 1.40, and all the bending occurs at the cornea, whose vertex is 2.60 cm from the retina. What should be the radius of curvature of the cornea such that the image of an object 40.0 cm from the cornea’s vertex is focused on the retina?