Determine the dimensions of a spacer ring with an inner diameter d, 20 mm with contact at the edge between two flat convex lenses with focal lengths f," = 100 mm and f₂ = 60 mm and a refractive index n = 1.5. The distance between the tips of both lenses is = 10 mm. R₁ A P₂ du
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- A 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 102. My wife Margie has lost most of her accommodation. She has a nearpoint of 130 cm and would like to read as close as 40 cm from her eyes. A) What power reading glasses should Margie use? Assume the lenses in the glasses are 2 cm from the eye. B) What is Margie's farpoint while wearing reading glasses?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 telescope
- a) 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.) cmA large reflecting telescope has an objective mirror with a10.0 m radius of curvature. What angular magnificationdoes it produce when a 3.00 m focal length eyepiece isused?
- 6. A nearsighted man uses his ideally prescribed eyeglasses that have a refractive power of -3.00 diopters. He would like a prescription for contact lenses. What is the correct contact lens distance of 2.0 cm from his eyes? diopters ssf60 ss prescription if he normally wears his eyeglasses a f60 ssf60 pre 0 ssf60 staWhen the muscles connected to the crystalline lens relax, the focal length is 9.0000 cm. With this focal length, how close must an object be to form sharply focused images on the retina? (Note: this distance is called the near point of vision.)Q1 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