MIRRORS/LENSES

PRACTICE

1)

A virtual image is one:

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A) toward which light rays converge but do not pass through

B) from which light rays diverge but do not pass through

C) from which light rays diverge as they pass through

D) toward which light rays converge and pass through

E) with a ray normal to a mirror passing through it

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2)

The term "virtual" as applied to an image made by a mirror means that the image:

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A) is on the mirror surface

B) cannot be photographed by a camera

C) is in front of the mirror

D) is the same size as the object

E) cannot be shown directly on a screen

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3)

When you stand in front of a plane mirror, your image is:

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A) real, erect, and smaller than you

B) real, erect, and the same size as you

C) virtual, erect, and smaller than you

D) virtual, erect, and the same size as you

E) real, inverted, and the same size as you

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4)

An object is 2 m in front of a plane mirror. Its image is:

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A) virtual, inverted, and 2 m behind the mirror

B) virtual, inverted, and 2 m in front of the mirror

C) virtual, erect, and 2 m in front of the mirror

D) real, erect, and 2 m behind the mirror

E) none of the above

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5)

A ball is held 50 cm in front of a plane mirror. The distance between the ball and its image is:

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A) 100 cm

B) 150 cm

C) 200 cm

D) zero

E) 50 cm

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6)

The angle between a horizontal ruler and a vertical plane mirror is 30°. The angle between the ruler and its image is:

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A) 15°

B) 30°

C) 60°

D) 90°

E) 180°

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7)

A 5.0-ft woman wishes to see a full length image of herself in a plane mirror. The minimum length mirror required is:

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A) 5 ft

B) 10 ft

C) 2.5 ft

D) 3.54 ft

E) no answer: the farther away she stands the smaller the required mirror length

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8)

A man holds a rectangular card in front of and parallel to a plane mirror. In order for him to see the entire image of the card, the least mirror area needed is:

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A) that of the whole mirror, regardless of its size

B) that of the pupil of his eye

C) one-half that of the card

D) one-fourth that of the card

E) an amount which decreases with his distance from the mirror

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9)

A light bulb burns in front of the center of a 40-cm wide mirror that is hung vertically on a wall. A man walks in front of the mirror along a line that is parallel to the mirror and twice as far from it as the bulb. The greatest distance he can walk and still see the image of the bulb is:

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A) 20 cm

B) 40 cm

C) 60 cm

D) 80 cm

E) 120 cm

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10)

The focal length of a spherical mirror is N times its radius of curvature where N is:

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A) 1/4

B) 1/2

C) 1

D) 2

E) 4

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11)

Real images formed by a spherical mirror are always:

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A) on the side of the mirror opposite the source

B) on the same side of the mirror as the source but closer to the mirror than the source

C) on the same side of the mirror as the source but closer to the mirror than the focal point

D) on the same side of the mirror as the source but further from the mirror than the focal point

E) none of the above

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12)

The image produced by a convex mirror of an erect object in front of the mirror is always:

A) virtual, erect, and larger than the object

B) virtual, erect, and smaller than the object

C) real, erect, and larger than the object

D) real, erect, and smaller than the object

E) none of the above

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13)

An erect object is located between a concave mirror and its focal point. Its image is:

A) real, erect, and larger than the object

B) real, inverted, and larger than the object

C) virtual, erect, and larger than the object

D) virtual, inverted, and larger than the object

E) virtual, erect, and smaller than the object

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14)

An erect object is in front of a convex mirror a distance greater than the focal length. The image is:

A) real, inverted, and smaller than the object

B) virtual, inverted, and larger than the object

C) real, inverted, and larger than the object

D) virtual, erect, and smaller than the object

E) real, erect, and larger than the object

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15)

As an object is moved from the center of curvature of a concave mirror toward its focal point its image:

A) remains virtual and becomes larger

B) remains virtual and becomes smaller

C) remains real and becomes larger

D) remains real and becomes smaller

E) remains real and approaches the same size as the object

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16)

As an object is moved from a distant location toward the center of curvature of a concave mirror its image:

A) remains virtual and becomes smaller

B) remains virtual and becomes larger

C) remains real and becomes smaller

D) remains real and becomes larger

E) changes from real to virtual

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17)

The image of an erect candle, formed using a convex mirror, is always:

A) virtual, inverted, and smaller than the candle

B) virtual, inverted, and larger than the candle

C) virtual, erect, and larger than the candle

D) virtual, erect, and smaller than the candle

E) real, erect, and smaller than the candle

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18)

At what distance in front of a concave mirror must an object be placed so that the image and object are the same size?

A) a focal length

B) half a focal length

C) twice a focal length

D) less than half focal length

E) more than twice a focal length

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19)

A concave mirror forms a real image which is twice the size of the object. If the object is 20 cm from the mirror, the radius of curvature of the mirror must be about:

A) 13 cm

B) 20 cm

C) 27 cm

D) 40 cm

E) 80 cm

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20)

A man stands with his nose 8 cm from a concave shaving mirror of radius 32 cm. The distance from the mirror to the image of his nose is:

A) 8 cm

B) 12 cm

C) 16 cm

D) 24 cm

E) 32 cm

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21)

The figure shows a concave mirror with a small object located at the point marked 6. If the image is also at this point, then the center of curvature of the mirror is at the point marked:

A) 3

B) 4

C) 6

D) 9

E) 12

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22)

A concave spherical mirror has a focal length of 12 cm. If an object is placed 6 cm in front of it the image position is:

A) 4 cm behind the mirror

B) 4 cm in front of the mirror

C) 12 cm behind the mirror

D) 12 cm in front of the mirror

E) at infinity

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23)

A concave spherical mirror has a focal length of 12 cm. If an object is placed 18 cm in front of it the image position is:

A) 7.2 cm behind the mirror

B) 7.2 cm in front of the mirror

C) 36 cm behind the mirror

D) 36 cm in front of the mirror

E) at infinity

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24)

A convex spherical mirror has a focal length of 12 cm. If an object is placed 6 cm in front of it the image position is:

A) 4 cm behind the mirror

B) 4 cm in front of the mirror

C) 12 cm behind the mirror

D) 12 cm in front of the mirror

E) at infinity

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25)

A concave spherical mirror has a focal length of 12 cm. If an erect object is placed 6 cm in front of it:

A) the magnification is 2 and the image is erect

B) the magnification is 2 and the image is inverted

C) the magnification is 0.67 and the image is erect

D) the magnification is 0.67 and the image is inverted

E) the magnification is 0.5 and the image is erect

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26)

An erect object is located on the central axis of a spherical mirror. The magnification is –3. This means its image is:

A) real, inverted, and on the same side of the mirror

B) virtual, erect, and on the opposite side of the mirror

C) real, erect, and on the same side of the mirror

D) real, inverted, and on the opposite side of the mirror

E) virtual, inverted, and on the opposite side of the mirror

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27)

An erect object is placed on the central axis of a thin lens, further from the lens than the magnitude of its focal length. The magnification is +0.4. This means:

A) the image is real and erect and the lens is a converging lens

B) the image is real and inverted and the lens is a converging lens

C) the image is virtual and erect, and the lens is a diverging lens

D) the image is virtual and erect, and the lens is a converging lens

E) the image is virtual and inverted and the lens is a diverging lens

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28)

Where must an object be placed in front of a converging lens in order to obtain a virtual image?

A) At the focal point

B) At twice the focal length

C) Greater than the focal length

D) Between the focal point and the lens

E) Between the focal length and twice the focal length

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29)

An erect object placed outside the focal point of a converging lens will produce an image that is:

A) erect and virtual

B) inverted and virtual

C) erect and real

D) inverted and real

E) impossible to locate

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30)

An object is 30 cm in front of a converging lens of focal length 10 cm. The image is:

A) real and larger than the object

B) real and the same size than the object

C) real and smaller than the object

D) virtual and the same size than the object

E) virtual and smaller than the object

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31)

The object-lens distance for a certain converging lens is 400 mm. The image is three times the size of the object. To make the image five times the size of the object, the object-lens distance must be changed to:

A) 360 mm

B) 540 mm

C) 600 mm

D) 720 mm

E) 960 mm

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32)

An erect object is 2f in front of a convex lens of focal length f. The image is:

A) real, inverted, magnified

B) real, erect, same size

C) real, inverted, same size

D) virtual, inverted, reduced

E) real, inverted, reduced

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33)

An object is in front of a converging lens, at a distance less than the focal length from the lens. Its image is:

A) virtual and larger than the object

B) real and smaller than the object

C) virtual and smaller than the object

D) real and larger than the object

E) virtual and the same size as the object

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34)

An object is 20 cm to the left of a lens of focal length +10 cm. A second lens, of focal length +12.5 cm, is 30 cm to the right of the first lens. The distance between the original object and the final image is:

A) 28 cm

B) 50 cm

C) 100 cm

D) 0

E) infinity

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35)

An object is 20 cm to the left of a lens of focal length +10 cm. A second lens, of focal length -12.5 cm, is 30 cm to the right of the first lens. The distance between the original object and the final image is:

A) 0 cm

B) 5.6 cm

C) 100 cm

D) 44.4 cm

E) infinity

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36)

An object is placed at the focal point of a converging lens of focal length f . What is the image distance?

A) f

B) 2 f

C) 1/f

D) 2/f

E) at an infinite distance

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37)

An object is placed at the focal point of a thin diverging lens of focal length f . What is the image distance?

A) f

B) 2 f

C) 1/f

D) f /2

E) at an infinite distance

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38)

An object is placed 4.0 cm from a thin converging lens with a focal length of 12 cm. Which one of the following statements is true concerning the image?

A) The image is virtual and 6.0 cm from the lens.

B) The image is virtual and 12 cm from the lens.

C) The image is real and 3.0 cm from the lens.

D) The image is real and 6.0 cm from the lens.

E) The image is real and 12 cm from the lens.

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39)

A converging lens is used to focus light from a small bulb onto a book. The lens has a focal length of 10 cm and is located 40 cm from the book. Determine the distance from the lens to the light bulb.

A) 8 cm

B) 13 cm

C) 20 cm

D) 33 cm

E) 50 cm

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40)

When an object is placed 15 cm from a lens, a virtual image is formed. Which one of the following conclusions is incorrect?

A) The lens may be a convex or concave.

B) If the image is upright the lens must be a diverging lens.

C) If the image is reduced, the lens must be a diverging lens.

D) If the lens is a diverging lens, the image distance must be less than 15 cm.

E) If the lens is a converging lens, the focal length must be greater than 15 cm.

41)

When an object is placed 20 cm from a diverging lens, a reduced image is formed. Which one of the following statements is necessarily true?

A) The image is inverted.

B) The image could be real.

C) The image distance must be greater than 20 cm.

D) The focal length of the lens may be less than 20 cm.

E) The refractive power of the lens must be greater than 0.05 diopters.

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42)

In a slide projector, the slide is illuminated; and light passing through the slide then passes through a converging lens of focal length 0.10 m. If a screen is placed 5.0 m from the lens, a sharp image is observed. How far is the slide from the lens?

A) 0.082 m

B) 0.050 m

C) 0.50 m

D) 0.27 m

E) 0.10 m

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43)

Joseph uses a converging lens (f = 0.12 m) to read a map located 0.080 m from the lens. What is the magnification of the lens?

A) +3.4

B) +3.0

C) +1.7

D) +0.60

E) +0.33

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44)

An image formed when the light rays pass through the image location, and could appear on paper or film placed at the that location is referred to as a

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A) real image.

B) virtual image.

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45)

Is it possible to see a virtual image?

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A) Yes, the rays that appear to emanate from a virtual image can be focused on the retina just like those from an illuminated object.

B) No, since the rays that seem to emanate from a virtual image do not in fact emanate from the image.

C) No, since virtual images do not really exist.

D) Yes, since almost everything we see is virtual because most things do not themselves give off light, but only reflect light coming from some other source.

E) Yes, but only indirectly in the sense that if the virtual image is formed on a sheet of photographic film, one could later look at the picture formed.

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46)

If the radius of curvature of the concave mirror is r, the focal length is

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A) r/2.

B) r.

C) 2r.

D) cannot be determined from the information given

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47)

If you stand in front of a concave mirror, exactly at its focal point,

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A) you won't see your image because there is none.

B) you will see your image, and you will appear smaller.

C) you will see your image at your same height.

D) you won't see your image because it's focused at a different distance.

E) you will see your image and you will appear larger.

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48)

An object is placed at a concave mirror's center of curvature. The image produced by the mirror is located

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A) between the center of curvature and the focal point.

B) at the focal point.

C) out beyond the center of curvature.

D) at the center of curvature.

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49)

An object is positioned between a concave mirror's center of curvature and its focal point. The image produced by the mirror is located

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A) at the center of curvature.

B) out past the center of curvature.

C) between the center of curvature and the focal point.

D) at the focal point.

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50)

An object is situated between a concave mirror's surface and its focal point. The image formed in this case is

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A) real and inverted.

B) virtual and erect.

C) virtual and inverted.

D) real and erect.

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51)

If you stand in front of a convex mirror, at the same distance from it as its radius of curvature,

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A) you won't see your image because it's focused at a different distance.

B) you will see your image and you will appear smaller.

C) you will see your image at your same height.

D) you will see your image and you will appear larger.

E) you won't see your image because there is none.

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52)

If you stand in front of a convex mirror, at the same distance from it as its focal length,

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A) you will see your image and you will appear smaller.

B) you will see your image and you will appear larger.

C) you won't see your image because it's focused at a different distance.

D) you won't see your image because there is none.

E) you will see your image at your same height.

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53)

Concave spherical mirrors produce images which

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A) are always larger than the actual object.

B) are always smaller than the actual object.

C) could be smaller than, larger than, or the same size as the actual object, depending on the placement of the object.

D) are always the same size as the actual object.

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54)

Convex spherical mirrors produce images which

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A) are always larger than the actual object.

B) are always smaller than the actual object.

C) could be larger than, smaller than, or the same size as the actual object, depending on the placement of the object.

D) are always the same size as the actual object.

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55)

A single concave spherical mirror produces an image which is

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A) real only if the object distance is greater than f.

B) always real.

C) always virtual.

D) real only if the object distance is less than f.

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56)

A single convex spherical mirror produces an image which is

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A) real only if the object distance is less than f.

B) always real.

C) always virtual.

D) real only if the object distance is greater than f.

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57)

A negative magnification for a mirror means

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A) the image is inverted, and the mirror is convex.

B) the image is upright, and the mirror may be concave or convex.

C) the image is upright, and the mirror is convex.

D) the image is inverted, and the mirror may be concave or convex.

E) the image is inverted, and the mirror is concave.

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58)

If the absolute value of the magnification is larger than one, then the image is

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A) smaller than the object.

B) larger than the object.

C) the same size as the object.

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59)

If the absolute value of the magnification is smaller than one, then the image is

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A) larger than the object.

B) smaller than the object.

C) the same size as the object.

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60)

If the image distance is positive, the image formed is a

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A) real image.

B) virtual image.

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61)

If the image distance is negative, the image formed is a

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A) real image.

B) virtual image.

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62)

If the magnification is a positive value, the image is

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A) upright.

B) inverted.

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63)

If the absolute value of the magnification is equal to one, then the image is

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A) larger than the object.

B) smaller than the object.

C) the same size as the object.

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64)

A convex lens has focal length f. An object is located at infinity. The image formed is located

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A) at f.

B) at 2f.

C) between the lens and f.

D) between f and 2f.

65)

A convex lens has a focal length f. An object is placed at f on the axis. The image formed is located

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A) between 2f and infinity.

B) between f and 2f.

C) at infinity.

D) at 2f.

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66)

A convex lens has focal length f. An object is placed at 2f on the axis. The image formed is located

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A) at 2f.

B) between the lens and f.

C) at f.

D) between f and 2f.

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67)

A convex lens has a focal length f. An object is placed between f and 2f on the axis. The image formed is located

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A) at f.

B) at 2f.

C) between f and 2f.

D) at a distance greater than 2f from the lens.

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68)

A convex lens has a focal length f. An object is placed between infinity and 2f from the lens on its axis. The image formed is located

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A) at f.

B) between the lens and f.

C) at 2f.

D) between f and 2f.

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69)

A object is placed between a convex lens and its focal point. The image formed is

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A) virtual and inverted.

B) real and erect.

C) virtual and erect.

D) real and inverted.

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70)

The images formed by concave lenses

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A) could be real or virtual, but always real when the object is placed at the focal point.

B) could be real or virtual; it depends on whether the object distance is smaller or greater than the focal length.

C) are always real.

D) are always virtual.

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71)

A lamp is placed 1 m from a screen. Between the lamp and the screen is placed a converging lens of focal length 24 cm. The filament of the lamp can be imaged on the screen. As the lens position is varied with respect to the lamp,

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A) a sharp image will be seen when the lens is either 40 cm from the lamp or 60 cm from the lamp, but not otherwise.

B) a sharp image will be seen when the lens is 60 cm from the lamp.

C) no sharp image will be seen for any lens position.

D) a sharp image will be seen when the lens is halfway between the lamp and the screen.

E) a sharp image will be seen when the lens is 40 cm from the lamp.

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72)

A diverging lens (f = -4.0 cm) is positioned 2.0 cm to the left of a converging lens f = +6.0 cm). A 1.0-mm diameter beam of parallel light rays is incident on the diverging lens from the left. After leaving the converging lens, the outgoing rays

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A) form a parallel beam of diameter D < 1.0 mm.

B) converge.

C) form a parallel beam of diameter D > 1.0 mm.

D) diverge.

E) will travel back toward the light source.

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73)

How far are you from your image when you stand 0.75 m in front of a vertical plane mirror?

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A) 1.5 m

B) 0.75 m

C) 3.0 m

D) none of the given answers

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74)

A spherical concave mirror has a radius of curvature of 20 cm. How far from the mirror is the focal point located?

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A) 40 cm

B) 20 cm

C) 30 cm

D) 10 cm

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75)

A concave mirror with a radius of 20 cm creates a real image 30 cm from the mirror. What is the object distance?

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A) 15 cm

B) 20 cm

C) 5.0 cm

D) 7.5 cm

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76)

An object is placed 40 cm in front of a 20 cm focal length converging lens. How far is the image of this object from the lens?

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A) 20 cm

B) 40 cm

C) 13 cm

D) none of the given answers

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77)

An object is 12 cm in front of a converging lens with focal length 4 cm. Where is the image?

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A) 6.0 cm behind the lens

B) 6.0 cm in front of the lens

C) 4.0 cm in front of the lens

D) 8.0 cm behind the lens

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78)

An object is 15 mm in front of a converging lens, and the image is 4.0 mm behind the lens. What is the focal length of the lens?

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A) 3.8 mm

B) 5.5 mm

C) 11 mm

D) 3.2 mm

79)

A 14-mm tall object is 4.0 mm from a converging lens. If the image is 4.0 mm tall, how far is it from the lens?

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A) 1.1 mm

B) 14 mm

C) 1.4 mm

D) 8.7 mm

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80)

When an object is 40 cm in front of a converging lens the inverted image is half the size of the object. What is the focal length of this lens?

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A) 13 cm

B) 20 cm

C) 53 cm

D) 40 cm

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81)

An image is 4.0 mm in front of a converging lens with focal length 5.0 mm. Where is the object?

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A) 9.0 mm behind the lens

B) 2.2 mm behind the lens

C) 20 mm in front of the lens

D) 2.2 mm in front of the lens

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82)

An object is 4.1 cm tall, and 10.3 cm from a converging lens. The image is virtual and 6.2 cm tall. What is the focal length of the lens?

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A) 10 cm

B) 6.8 cm

C) 16 cm

D) 30 cm

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83)

An object is 15.2 mm from a converging lens. The image is 4.0 mm tall, and 9.0 cm from the lens. How tall is the object?

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A) 5.4 mm

B) 6.8 mm

C) 0.68 mm

D) 1.7 mm

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84)

When an object is placed 60 cm from a converging lens, it forms a real image. When the object is moved to 40 cm from the lens, the image moves 10 cm farther from the lens. What is the focal length of the lens?

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A) 42 cm

B) 40 cm

C) 20 cm

D) 30 cm

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85)

An object is placed at a distance of 30 cm from a thin convex lens. The lens has a focal length of 10 cm. What are the values, respectively, of the image distance and lateral magnification?

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A) 25 cm, 1.0

B) 15 cm, -0.50

C) 15 cm, 2.0

D) 60 cm, -0.50

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86)

An object is placed at 30 cm in front of a diverging lens with a focal length of 10 cm. What is the image distance?

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A) 7.5 cm

B) 15 cm

C) -7.5 cm

D) -15 cm

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87)

An object is placed at 30 cm in front of a diverging lens with a focal length of 10 cm. What is the magnification?

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A) -0.67

B) -0.25

C) 0.25

D) 0.67

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88)

An object is 10.4 cm tall, and 4.8 cm in front of a diverging lens. The image is 4.0 cm from the lens. How tall is the image?

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A) 8.7 cm

B) 1.8 cm

C) 5.4 cm

D) 13 cm

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89)

An object is 6.0 cm tall, and is in front of a diverging lens. The image is 2.5 cm tall, and 7.5 cm from the lens. What is the focal length of the lens?

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A) -6.0 cm

B) -18 cm

C) -13 cm

D) -7.5 cm

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90)

A object is 12 cm in front of a concave mirror, and the image is 3.0 cm in front of the mirror. What is the focal length of the mirror?

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A) 1.3 cm

B) 4.0 cm

C) 15 cm

D) 2.4 cm

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91)

An object is 10 cm in front of a concave mirror with focal length 3 cm. Where is the image?

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A) 3.3 cm from the mirror

B) 13 cm from the mirror

C) 7.0 cm from the mirror

D) 4.3 cm from the mirror

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92)

A concave spherical mirror has a focal length of 20 cm. An object is placed 10 cm in front of the mirror on the mirror's axis. Where is the image located?

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A) 6.7 cm in front of the mirror

B) 6.7 cm behind the mirror

C) 20 cm in front of the mirror

D) 20 cm behind the mirror

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93)

A concave spherical mirror has a focal length of 20 cm. An object is placed 30 cm in front of the mirror on the mirror's axis. Where is the image located?

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A) 12 cm behind the mirror

B) 60 cm in front of the mirror

C) 60 cm behind the mirror

D) 12 cm in front of the mirror

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94)

An object is 5.7 cm from a concave mirror. The image is 4.7 cm tall, and 10 cm from the mirror. How tall is the object?

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A) 11 cm

B) 8.2 cm

C) 12 cm

D) 2.7 cm

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95)

An object is placed 15 cm from a concave mirror of focal length 20 cm. The object is 4.0 cm tall. How tall is the image?

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A) 8.0 cm

B) 16 cm

C) 2.0 cm

D) 1.0 cm

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96)

An object is 47.5 cm tall. The image is 38.6 cm tall, and 14.8 cm from the mirror. How far is the object from the mirror?

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A) 47.6 cm

B) 18.2 cm

C) 12.0 cm

D) 124 cm

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97)

A 1.4 cm tall object is 4.0 cm from a concave mirror. If the image is 4.0 cm tall, how far is it from the mirror?

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A) 11 cm

B) 0.090 cm

C) 1.4 cm

D) 9.4 cm

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98)

An object is placed 15 cm from a concave mirror of focal length 20 cm. The object is 4.0 cm tall. Where is the image located?

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A) 12 cm behind the mirror

B) 12 cm in front of the mirror

C) 60 cm in front of the mirror

D) 60 cm behind the mirror

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99)

When a person stands 40 cm in front of a cosmetic mirror (concave mirror), the erect image is twice the size of the object. What is the focal length of the mirror?

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A) 160 cm

B) 40 cm

C) 80 cm

D) 27 cm

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100)

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

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A) 70 cm

B) 50 cm

C) 20 cm

D) 90 cm

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101)

An image is 4.0 cm behind a concave mirror with focal length 5.0 cm. Where is the object?

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A) 1.0 cm behind the mirror

B) 9.0 cm in front of the mirror

C) 2.2 cm in front of the mirror

D) 2.2 cm behind the mirror

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102)

A convex spherical mirror has a focal length of -20 cm. An object is placed 10 cm in front of the mirror on the mirror's axis. Where is the image located?

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A) 6.7 cm behind the mirror

B) 20 cm behind the mirror

C) 6.7 cm in front of the mirror

D) 20 cm in front of the mirror

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103)

A convex spherical mirror has a focal length of -20 cm. An object is placed 30 cm in front of the mirror on the mirror's axis. Where is the image located?

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A) 60 cm behind the mirror

B) 60 cm in front of the mirror

C) 12 cm in front of the mirror

D) none of the given answers

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104)

An object is 14 cm in front of a convex mirror. The image is 5.8 cm behind the mirror. What is the focal length of the mirror?

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A) -20 cm

B) -4.1 cm

C) -9.9 cm

D) -8.2 cm

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105)

An object is 8.90 cm tall. The image is 7.80 cm tall, and 14.8 cm from a convex mirror. What is the mirror's focal length?

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A) -120 cm

B) -13.0 cm

C) -16.9 cm

D) -105 cm

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ANSWERS