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Exam 23: Mirrors and Lenses

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Question 1

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As a treatment for cataracts (a cloudiness of the lens of the eye) ,the natural lens is removed and a plastic lens is implanted.After this is done a person can see distant objects clearly,but he cannot accommodate to focus on nearby objects.If such a person wanted to read a book at a distance of 25 cm,he would have to wear contact lenses having a diopter power of

A) +2.78 diopters
B) +3.33 diopters
C) -1.78 diopters
D) +4.00 diopters
E) -4.00 diopters

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Question 2

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An object is 50 cm from a concave mirror of radius of curvature of magnitude 60 cm.How far is the image from the mirror?

A) 19 cm
B) 35 cm
C) 60 cm
D) 75 cm
E) 120 cm

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Question 3

Multiple Choice

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If a single lens forms a virtual image of an object,then

Mary builds a simple refracting telescope using two lenses of focal length 80 cm and 5.0 cm.The respective diameters are 60 mm and 10 mm.How many degrees wide does the moon appear through the telescope if it appears only 1/2 degree wide with the "naked eye"?

A 4.0-cm tall object is placed 60 cm in front of a convex lens of focal length of magnitude 30 cm.What are the nature and location of the image?

A person's face is 30 cm in front of a concave spherical shaving mirror.If the image is an erect image that is 1.5 times as large as the object,what is the focal length mirror?

When an object is placed 118 cm from a thin concave lens,its image is found to be 59 cm from the lens.The lens is removed,and replaced by a thin convex lens whose focal length has the same magnitude as the diverging lens.This second lens is at the original position of the first lens.Where is the image of the object now?

Alice is farsighted and cannot see objects clearly that are closer to her eye than 80.0 cm.What is the refractive power of the contact lenses that will enable her to comfortably see objects at a distance of 25.0 cm from her eyes?

A slide projector is set up with its lens 6.0 m from the screen.The projected image on the screen is 1.5 m square for a slide (the object)that is 2.5 cm square. (a)How far is the slide from the lens? (b)What is the focal length of the projector lens?

Tan's face is 20 cm in front of a concave shaving mirror.If he observes his image to be twice as big and upright,what is the focal length of the mirror?

What type of lens is used to make a magnifying glass?

An object is placed in front of a convex mirror at a distance larger than twice the magnitude of the focal length of the mirror.The image will appear

A nearsighted person has a far point that is 4.2 m from his eyes.What power contact lenses must he wear to allow him to focus on distant mountains?

A cell phone that is 8.90 cm tall is placed in front of a convex mirror.The image of the phone is 7.80 cm tall and is located 14.8 cm from a mirror.What is the mirror's focal length?

The length of a telescope is 2.20 m and the focal length of the eyepiece is 1.9 cm.What is the focal length of the objective lens?

A statue that is 2.3 cm tall is placed 15 cm in front of a convex mirror.The magnitude of the radius of curvature of the mirror is 18 cm. (a)Is the image real or virtual? (b)How far is the image from the mirror? (c)Is the image upright or inverted? (d)How tall is the image?

When a flower petal is 4.0 cm in front of a convex lens,the inverted image is half the height of the petal.What is the focal length of this lens?

A toy is 14 cm in front of a convex spherical mirror.If the image of the toy is 5.8 cm behind the mirror,what is the focal length of the mirror?

You may have seen ambulances on the street with the letters of the word AMBULANCE written on the front of them,in such a way as to appear correctly when viewed in your car's rear-view mirror.(See the figure.) How do the letters appear when you look directly at the ambulance (not through the mirror) ? a) b) c) d) e)

An object is placed 15 cm to the left of a convex lens of focal length 20 cm.Where is the image of this object located?