In the figure, a real inverted image I of an object O is formed by a certain len

Question

In the figure, a real inverted image I of an object O is formed by a certain lens (not shown); the object-image separation is d = 43.9 cm, measured along the central axis of the lens. The image is just 1/5 the size of the object. (a) What kind of lens must be used to produce this image? (b) How far from the object must the lens be placed? (c) What is the focal length of the lens?






In the figure, a real inverted image I of an object O is formed by a certain lens (not shown); the object-image separation is d = 43.9 cm, measured along the central axis of the lens. The image is just 1/5 the size of the object. (a) What kind of lens must be used to produce this image? (b) How far from the object must the lens be placed? (c) What is the focal length of the lens?






In the figure, a real inverted image I of an object O is formed by a certain lens (not shown); the object-image separation is d = 43.9 cm, measured along the central axis of the lens. The image is just 1/5 the size of the object. (a) What kind of lens must be used to produce this image? (b) How far from the object must the lens be placed? (c) What is the focal length of the lens?

Explanation / Answer

part a ) convex lens ( image us real )

part b )

v = d - u

v/u = 1/5

v = d/6

u = 5d/6 = 5 * 43.9/6 = 36.58 cm

part c )

1/v + 1/u = 1/f

v = d/6

u = 5d/6

f = 5d/36 = 6.097 cm

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