4b. A converging lens (fi- 30.0 cm) is placed at a distance of 50.0 cm from a diverging lens a lens (f₂=-30.0 cm) shown in the figure. The combination forms a final image at distance 50.0 cm behind the diverging lens. (a) Where is the first object located? (b) Draw a ray diagram to indicate all the positions of the objects and images for both lenses.
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- 1. A small object is 25.0 cm from a bi-concave diverging lens, a second biconvex lens with focal length of 12.0 cm is 30 cm to the right of the diverging lens. The two lens systems form a real inverted image 17cm to the right of the converging lens. What is the focal length of the diverging lens? What is the magnification of the object once it passes through the diverging lens?A converging lenses made of a certain glass with focal length of 30 cm is shown. R1 refers to the magnitude of the radius of the surface on the left and R2 on the right. What is the index of refraction of the glass? R1 = 50 cm R2 : = 75 cm A. 4.5 B. 5.0 C. 6.0 D. 7.55 (c) A concave (diverging) lens is fitted into a door to make a security spyhole. Figure 10 shows how this lens produces an image. Figure 10 Object Height F Image Height = 4 cm = 1 cm Concave lens 5 (c) (i) State one word to describe the nature of the image in Figure 10. 5 (c) (ii) Use data from Figure 10 to calculate the magnification of the image.
- An object that is 2.0 cm tall is located 5.0 cm behind the vertex of a converging lens with a focal length of 10 cm as shown in the diagram below. Which of the lettered choices below gives the correct image characteristics? Specifically, what willI be the height, orientation, and nature of the final image? 10 cm Object İ50 5.0 cm f Converging Lens a. 3.0 cm, inverted, real b.4.0 cm, upright, virtual c. 5.0 cm, upright, real d. 4.0 cm, inverted, virtual e. 2.5 cm, upright, virtual O O O O O2. The lateral or transverse magnification of an image is the one we've been using, a ratio of the height of the image to that of the object: MT = L = -. The angular magnification is the ratio of the angle subtended by the image to that subtended by the object: mg =%. There is one other form of magnification that may be of interest, the longitudinal magnification, which is the ratio of the “width" of the image along the optical axis to the “width" of the object: M1 = 4, as shown below L f L' object image (a) f. From the thin lens/mirror equation, calculate ds' /ds for fixed focal length (a) (b) lens/mırror (i.e., L - ds and L' ds'), the longitudinal magnification can be written in terms of the lateral magnification: Show that if L and L' are small compared to their distances from the ML = –M.A 2.1-cm-tall candle flame is 2.3 m from a wall. You happen to havea lens with focal length of 37 cm. For the two positions, what is the height of the image? h1 and h2
- Needs Complete typed solution with 100 % accuracy.Can you please help me with this question? Thank you!A bug is 3 cm to the left of a lens with f = -4.56 cm. Find the image distance from the lens. A second lens of f = 8 cm is placed 1.21 cm to the right of the first lens. Find the distance of the final image from the second lens. Use the image from the first lens as an "object" for the second lens. The final image is: A. Upright B. Inverted The final image is: A. Real B. Virtual
- A thin biconvex spherical lens has a radius of curvature of 100 cm and 20.0 cm. The lens is made of glass with a refractive index of 1.54 and is immersed in air. a) If an object is placed 70.0 cm from a surface of radius of curvature 100 cm, locate and describe the characteristics of the resulting image. b) Determine the transverse magnification of the image. Sketch a ray diagram for this situation.Needs Complete typed solution with 100 % accuracy.An object is placed 30.0cm to the left of lens A. Lens B is placed 40.0cm to the right of lens A. Lens A is converging and has a focal length of 20.0cm . Lens B is diverging and has a focal length of −30.0cm . a. What is the final image position relative to lens B? (Include the + or – sign.) b. What is the overall magnification? (Include the + or – sign.) c. Is the final image real or virtual? d. Is the final image upright or inverted?