4) It is required that a real image twice the size of the object be formed by a thin plano- convex lens. If the lens has a radius of curvature of 50 cm and a refractive index nim = 1.5, determine the localizations of the object and image with respect to the lens.
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- st 8. A converging lens (f₁ = 12.0 cm) is located 27.3 cm to the left of a diverging lens (f₂ placed 32.4 cm to the left of the converging lens. Find the overall magnification. ssf60*³ f60 ssf ssf60 ssi f6 -6.6 cm). A postage stamp is sf60 ssf60 50 sstA contact lens is made of plastic with an index of refraction 1.50. The lens has an outer radius of curvature of + 1.65 cm and an inner radius of curvature of + 5.85 cm. What is its focal length? TTTT Paragraph Arial 3 (12pt) E - E - T- 回i 公 T T, Bullet List O f. Mashups- HTML CSSProblem 5: Two converging lenses, one with a focal length of 22.0 cm and the other with a focal length of 10.0 cm, are placed 25.0 cm apart with an object placed 50.0 cm in front of the converging lens. Determine (a) the position and (b) the magnification of the final image formed. (c) Show by ray tracing that the image is virtual or real, and determine the image distance and magnification. You must draw the ray diagram to scale to you may also use drawing/drafting software to draw the diagram.
- An inquiring student makes a refracting telescope by placing an objective lens and an eyepiece at opposite ends of a 46.5 cm long tube. If the eyepiece has a focal length of 1.70 cm, calculate the required focal length in cm of the objective lens and the angular magnification of the telescope. HINT (a) the required focal length in cm of the objective lens cm (b) the angular magnification of the telescopeMehloa) Show that an infinitesimal change dn of the refractive index of the material of a thin lens leads to an infinitesimal change df of the focal distance, i.e., show that: df f dn n-na (1) where na is the refractive index of air. 1.530) using a discrete b) Calculate the focal distance of a thin lens for blue light (with n= version of the upper equation if the focal distance for red light (with n = 1.470) is 20.0 cm (na = 1.000).
- a) Find an equation for the length L of a refracting telescope in terms of the focal length of the objective fo and the magnification m. L = (b) A knob adjusts the eyepiece forward and backward. Suppose the telescope is in focus with an eyepiece giving a magnification of 20.3. By what distance must the eyepiece be adjusted when the eyepiece is replaced, with a resulting magnification of 1.0 ✕ 102? Must the eyepiece be adjusted backward or forward? Assume the objective lens has a focal length of 2.32 m. (Use a positive value if the eyepiece must be moved forward toward the objective lens and negative values if the eyepiece must be moved backwards.) cmCompute the focal length of a diverging thin lens made of flint glass, whose refractive index is 1.66 and is immersed in air having refractive index 1. The radii of the spherical surfaces of the lens are 10 cm and 20 cm. Select one: O -30 cm O O -10 cm 30 cm 10 cmQ1 a) The eyepiece of a refracting telescope has a focal length of 9.00cm. The distance between objective and eyepiece is 1.80m, and the final image is at infinity. What is the angular magnification of the telescope? F=580×10² 14
- Two lenses (f1=100 mm, f2=-150 mm) are used to form an image of a candle on an observation screen. The distance between the lenses is kept small and is measured to be 3.5 cm. The distance of the candle from the center of both lenses is measured to be 82 cm. The distance of the image from the center of both lenses is measured to be 22 cm. (i) What are the experimental focal length of the two combined lenses? (a) 60 mm (b)1040 mm (c) 576.43 mm (d) 173.47 mm (ii) What are the theoretical focal lengths of the two combined lenses? (a) -50 mm (b) 176.47 mm (c) 280.37 mm (d) 52.63 mmA converging lens has a focal length of 20.0 cm. Construct accurate ray diagrams for object distances of (i) 60.0 cm and (ii) 6.67 cm. (a) From your ray diagrams, determine the location of each image. Image (i) distance = Image (ii) distance =