An object is 14.6 cm in front of a thin converging lens that has a focal length

Question

An object is 14.6 cm in front of a thin converging lens that has a focal length equal to 10.0 cm. A concave mirror that has a radius equal to 10.0 cm is 24.1 cm in back of the lens.

An object is 14.6 cm in front of a thin converging lens that has a focal length equal to 10.0 cm. A concave mirror that has a radius equal to 10.0 cm is 24.1 cm in back of the lens. (a) Find the position of the final image formed by the mirror-lens combination. 14.6 Xcm from the lens, on the same side as the original object. (b) Is the image real or virtual? real virtual Is the image upright or inverted? upright inverted (c) On a diagram, show where your eye must be to see this image. (Do this on paper. Your instructor may ask you to turn in this work.)

Explanation / Answer

a) considering only coves lens first:

the image distance s1' = (s1 *f1)/(s1 - f1) = (14.6*10)/(14.6 -10) = 31.73cm

now the lens to mirror distance is given to be 24.1cm and the image formed by the coverging lens will act as an object or mirror and located at distance (31.73 - 24.8)cm = 6.9cm

so, image formed by mirror will be at a distance; s2' = ((s2) *f2)/(s2 - f2)

also, f2 = R/2 = 10/2 =5cm

so, s2' = (-6.93*10)/(-6.93-10) = 4.09cm which means that the final image lies infront of the mirror

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