14) Two converging lenses, separated by a distance of 50 cm, are used in combination. The first lens,

located to the left, has a focal length of 15 cm. The second lens, located to the right, has a focal

length of 12 cm. An object, 3 cm high, is placed at a distance of 20 cm in front of the first lens. (a)

Find the intermediate and final image distances relative to the corresponding lenses? (b) What is the

total magnification? (c) What is the height of the final image?

15) The eyepiece of a microscope has a focal length of 1.25 cm and the objective lens focal length is

1.44 cm. (a) If the tube length is 18.0 cm, what is the angular magnification of the microscope?

(b) What objective focal length would be required to double this magnification?

16) Daniel is building a compound microscope using an eyepiece with a focal length of 7.5 cm and an

objective with a focal length of 1.5 cm. He will place the specimen a distance of 1.6 cm from the

objective. (a) How far apart should Daniel place the lenses? (b) What will be the angular

magnification of this microscope?

17) A microscope has an objective lens of focal length 5.0 mm. The objective forms an image 16.5 cm

from the lens. The focal length of the eyepiece is 2.8 cm. (a) What is the distance between the

lenses? (b) What is the angular magnification? The near point is 25.0 cm. (c) How far from the

objective should the object be placed?

18) An observer with a near point of 25 cm looks through a microscope with an objective lens of focal

length 1.2 cm. When an object is placed 1.28 cm from the objective, the angular magnification

is -198 and the final image is formed at infinity. (a) What is the tube length for this microscope?

(b) What is the focal length of the eyepiece?

19) The objective lens of an astronomical telescope forms an image of a distant object at the focal point

of the eyepiece, which has a focal length of 5.0 cm. If the two lenses are 45.0 cm apart, what is

the angular magnification?

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