A lens maker has to grind a convex lens with a focal length of 80.0 cm. The glass used for the lens has a refractive index, n = 1.5. If the radius of the curvature of the front surface is 35.0 cm, determine the radius of the other surface
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- A lens grinder wants to make a plane-convex lens with the radius of curvature 0.44 m and the focal length 0.8 m. What refractive index should the glass have?Consider a converging lens with focal length 8.94 cm. The distance between an object and a real image of the object created by the lens is 41.5 cm. Find the distance between the object and the lens if the lens is closer to the object than it is to the image. Answer in cm.An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 73.0 cm. (a) How far from the lens is the object? (b) What is the focal length of the lens? (a) do = (b) f=
- A man standing 1.54 m in front of a shaving mirror produces an inverted image 18.6 cm in front of it. How close to the mirror should he stand if he wants to form an upright image of his chin that is twice the chin's actual size? cm A contact lens is made of plastic with an index of refraction of 1.40. The lens has an outer radius of curvature of +1.92 cm and an inner radius of curvature of +2.47 cm. What is the focal length of the lens? cmYou are tasked with sourcing a lens which will be made out of glass with refractive index 1.668, and is submersed in a liquid with refractive index 1.379. You want a focal length of 6.5 cm, and the radius of curvature of the first side of the lens is 7.4 cm. What radius of curvature is required for the second side, in cm? [Note the first/second lens surface radius is conventionally positive/negative for convex.]A contact lens is made of plastic with an index of refraction of 1.38. The lens has 1.923 Check the sign conventions used in the lens-makers' equation. cm outer radius of curvature of +2.03 cm and an inner radius of curvature of +2.55 cm. What is the focal length of the lens?
- The lenses in the figures below are all made of glass of index 1.50 and have surfaces with radii of curvature of magnitude either 9.90 cm or 21.8 cm. Find the radii of curvature and the focal length of each lens. (a) (b) (c)The focal points of a diverging lens are 25.0 cm from the lens. An object is placed 15.0 cm in front of the lens. What is the magnification of the image produced?