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6 cm object is 15 cm from a convex lens that has a focal length of 5 cm. What is the distance of the image from the lens, to the nearest hundredth?

2 Answers

1 vote
The distance of the image from the lens is 7.5 (7.5 = 1 / (1/5-1/15) cm. This problem can be solved using the converging lens formula for the distance which is the 1/f = 1/do + 1/di formula where f is the focal length, do is the object's distance to the lens, and di is the image's distance from the lens.
User Eyad Fallatah
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9.1k points
7 votes

Answer:

Image will form at distance 7.5 cm from lens

Step-by-step explanation:

As we know by the lens formula


(1)/(d_i) + (1)/(d_0) = (1)/(f)

here we know that


d_i = 15 cm


f = 5 cm

now we have


(1)/(15) + (1)/(d_i) = (1)/(5)


d_i = 7.5 cm

so here a real image will form on the other side of lens at distance 7.5 cm

User Clete
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8.2k points