Question 1

In the figure,the thin lens forms a real image of the object 94.0 cm from the object.What is the focal length of the lens?

Accepted Answer

A)  22.0 cm 
B)  25.5 cm 
C)  27.5 cm 
D)  55.8 cm 
E)  86.0 cm 
A)  22.0 cm 
B)  25.5 cm 
C)  27.5 cm 
D)  55.8 cm 
E)  86.0 cm

Question 2

An object 1.80 cm tall is placed 100 cm in front of a diverging lens having a focal length of magnitude 25 cm.A converging lens with a focal length of magnitude 33.33 cm is placed 30 cm past the first lens.What is the lateral magnification of this system of lenses?

Accepted Answer

A)  2.5 
B)  -2.5 
C)  -0.40 
D)  1.0 
E)  0.40 
A)  2.5 
B)  -2.5 
C)  -0.40 
D)  1.0 
E)  0.40

Question 3

The distance between the object and the eyepiece of a compound microscope is 18.0 cm.The focal length of its objective lens is 0.80 cm and the eyepiece has a focal length of 2.3 cm.The near-point distance of the person using the microscope is 25.0 cm.What is the total overall magnification of the microscope?

Accepted Answer

A)  -120 x 
B)  -184 x 
C)  -200 x 
D)  -360 x 
E)  -480 x 
A)  -120 x 
B)  -184 x 
C)  -200 x 
D)  -360 x 
E)  -480 x

Question 4

A convex spherical mirror with a focal length of magnitude 25 cm has a 4.0-cm tall flower placed 100 cm in front of it.What is the height of the image of the flower?

Accepted Answer

A)  0.80 cm 
B)  20 cm 
C)  4.0 cm 
D)  1.6 cm 
E)  8.0 cm 
A)  0.80 cm 
B)  20 cm 
C)  4.0 cm 
D)  1.6 cm 
E)  8.0 cm

Question 5

The objective and the eyepiece of a refracting astronomical telescope have focal lengths of 320 cm and 4.0 cm,respectively.The telescope is used to view Neptune and the final image is set at infinity.The diameter of Neptune is 4.96 × 107 m and the distance from the earth at the time of observation is 4.4 × 1012 m.What is the angle (in mrad)subtended by the final telescopic image of Neptune?

Accepted Answer

A)  0.90 mrad 
B)  1.1 mrad 
C)  1.3 mrad 
D)  1.5 mrad 
E)  1.7 mrad 
A)  0.90 mrad 
B)  1.1 mrad 
C)  1.3 mrad 
D)  1.5 mrad 
E)  1.7 mrad

Question 6

A compound lens is made by joining the plane surfaces of two thin plano-convex lenses of different glasses.The radius of curvature of each convex surface is 80 cm.The indices of refraction of the two glasses are 1.50 and 1.60.What is the focal length of the compound lens?

Accepted Answer

A)  67 
B)  69 
C)  71 
D)  73 
E)  75 
A)  67 
B)  69 
C)  71 
D)  73 
E)  75

Question 7

An object is placed 100 cm in front of a lens of focal length 20 cm.A second lens is placed 35 cm beyond the first,this second lens having a focal length of 8.0 cm.If the height of the object is 6.0 cm,what is the height of the final image?

Accepted Answer

A)  1.5 cm 
B)  12 cm 
C)  9.0 cm 
D)  3.0 cm 
E)  6.0 cm 
A)  1.5 cm 
B)  12 cm 
C)  9.0 cm 
D)  3.0 cm 
E)  6.0 cm

Question 8

A person's eye lens is 2.7 cm away from the retina.This lens has a near point of 25 cm and a far point at infinity.
(a)What must the focal length of this lens be in order for an object placed at the near point of the eye to focus on the retina?
(b)What must the focal length of this lens be in order for an object placed at the far point of the eye to focus on the retina?

Accepted Answer

The answer of A person's eye lens is 2.7 cm...

Question 9

An optical system comprises in turn,from left to right: an observer,a lens of focal length +30 cm,an erect object 20 mm high,and a convex mirror of radius 80 cm.The object is between the lens and the mirror,20 cm from the lens and 50 cm from the mirror.The observer views the image that is formed first by reflection and then by refraction.What is the position of the final image,measured from the mirror?

Accepted Answer

A)  90 cm 
B)  102 cm 
C)  114 cm 
D)  126 cm 
E)  138 cm 
A)  90 cm 
B)  102 cm 
C)  114 cm 
D)  126 cm 
E)  138 cm

Question 10

A 4.0-cm tall object is placed 50.0 cm from a diverging lens having a focal length of magnitude 25.0 cm.What are the nature and location of the image? The image is

Accepted Answer

A)  real, 4.0 cm tall, and 20 cm from the lens on the side opposite the object. 
B)  virtual, 4.0 cm tall, and 20 cm from the lens on the side opposite the object. 
C)  virtual, 2.0 cm tall, and 10 cm from the lens on the side opposite the object. 
D)  virtual, 1.3 cm tall, and 16.7 cm from the lens on the same side of the object. 
E)  real, 1.3 cm tall, and 16.7 cm from the lens on the same side of the object. 
A)  real, 4.0 cm tall, and 20 cm from the lens on the side opposite the object. 
B)  virtual, 4.0 cm tall, and 20 cm from the lens on the side opposite the object. 
C)  virtual, 2.0 cm tall, and 10 cm from the lens on the side opposite the object. 
D)  virtual, 1.3 cm tall, and 16.7 cm from the lens on the same side of the object. 
E)  real, 1.3 cm tall, and 16.7 cm from the lens on the same side of the object.

Question 11

A convex lens has focal length f.If an object is located extremely far from the lens (at infinity),the image formed is located what distance from the lens?

Accepted Answer

A)  infinity 
B)  2f 
C)  between f and 2f 
D)  f 
E)  between the lens and f 
A)  infinity 
B)  2f 
C)  between f and 2f 
D)  f 
E)  between the lens and f

Question 12

The spherical side mirror on a car is convex and has a radius of curvature of 25 cm.Another car is following,20 m behind the mirror.If the height of the car is 1.6 m,how tall is its image?

Accepted Answer

A)  5.0 cm 
B)  2.0 cm 
C)  4.0 cm 
D)  3.0 cm 
E)  0.99 cm 
A)  5.0 cm 
B)  2.0 cm 
C)  4.0 cm 
D)  3.0 cm 
E)  0.99 cm

Question 13

A 4.0-cm tall object is placed 60 cm away from a converging lens of focal length 30 cm.What are the nature and location of the image? The image is

Accepted Answer

A)  real, 2.5 cm tall, and 30 cm from the lens on the same side as the object. 
B)  virtual, 2.5 cm tall, and 30 cm from the lens on the side opposite the object. 
C)  virtual, 2.0 cm tall, and 15 cm from the lens on the side opposite the object. 
D)  virtual, 4.0 cm tall, and 60 cm from the lens on the same side as the object. 
E)  real, 4.0 cm tall, and 60 cm from the lens on the side opposite the object. 
A)  real, 2.5 cm tall, and 30 cm from the lens on the same side as the object. 
B)  virtual, 2.5 cm tall, and 30 cm from the lens on the side opposite the object. 
C)  virtual, 2.0 cm tall, and 15 cm from the lens on the side opposite the object. 
D)  virtual, 4.0 cm tall, and 60 cm from the lens on the same side as the object. 
E)  real, 4.0 cm tall, and 60 cm from the lens on the side opposite the object.

Question 14

A convex-concave thin lens is made with the radius of curvature of the convex surface being 25.0 cm and the concave surface 45.0 cm.If the glass used has index of refraction 1.500,what is the focal length of this lens?

Accepted Answer

A)  -32.0 cm 
B)  32.0 cm 
C)  113 cm 
D)  67.5 cm 
E)  -113 cm 
A)  -32.0 cm 
B)  32.0 cm 
C)  113 cm 
D)  67.5 cm 
E)  -113 cm

Question 15

A convex lens has a focal length f.An object is placed at a distance between f and 2f on a line perpendicular to the center of the lens.The image formed is located at what distance from the lens?

Accepted Answer

A)  2f 
B)  between f and 2f 
C)  f 
D)  between the lens and f 
E)  farther than 2f 
A)  2f 
B)  between f and 2f 
C)  f 
D)  between the lens and f 
E)  farther than 2f

Question 16

Suppose you place your face in front of a concave mirror.Which one of the following statements is correct?

Accepted Answer

A)  If you position yourself between the center of curvature and the focal point of the mirror, you will not be able to see a sharp image of your face. 
B)  No matter where you place yourself, a real image will be formed. 
C)  Your image will always be inverted. 
D)  Your image will be diminished in size. 
E)  None of these statements are true. 
A)  If you position yourself between the center of curvature and the focal point of the mirror, you will not be able to see a sharp image of your face. 
B)  No matter where you place yourself, a real image will be formed. 
C)  Your image will always be inverted. 
D)  Your image will be diminished in size. 
E)  None of these statements are true.

Question 17

In the figure,the radius of curvature of the curved part of the lens is 24.0 cm,and the refractive index of the lens material is 1.750.What is the focal length of the lens?

Accepted Answer

A)  +32.0 cm 
B)  -32.0 cm 
C)  -16.0 cm 
D)  +13.8 cm 
E)  -13.8 cm 
A)  +32.0 cm 
B)  -32.0 cm 
C)  -16.0 cm 
D)  +13.8 cm 
E)  -13.8 cm

Question 18

The focal length of a thin lens is 40 mm and its aperture diameter is 10 mm.What is the f-number of this lens?

Accepted Answer

A)  f/4.0 
B)  f/2.0 
C)  f/5.6 
D)  f/0.30 
E)  f/0.40 
A)  f/4.0 
B)  f/2.0 
C)  f/5.6 
D)  f/0.30 
E)  f/0.40

Question 19

An object is placed in front of a lens which forms an image of the object.

Accepted Answer

A)  If the lens is convex, the image cannot be virtual. 
B)  If the image is real, then it is also inverted. 
C)  If the image is real, then it is also upright. 
D)  If the image is virtual, then it is also inverted. 
E)  If the image is virtual, the lens must be a diverging lens. 
A)  If the lens is convex, the image cannot be virtual. 
B)  If the image is real, then it is also inverted. 
C)  If the image is real, then it is also upright. 
D)  If the image is virtual, then it is also inverted. 
E)  If the image is virtual, the lens must be a diverging lens.

Question 20

The near point of a person's uncorrected eyes is 125.0 cm and the far point is at infinity.What is the focal length of a contact lens that will move the near point to 25.0 cm from this person's eyes?

Accepted Answer

A)  -100 cm 
B)  -31.3 cm 
C)  10.2 cm 
D)  20.8 cm 
E)  31.3 cm 
A)  -100 cm 
B)  -31.3 cm 
C)  10.2 cm 
D)  20.8 cm 
E)  31.3 cm

Exam 34: Geometric Optics

In the figure,the thin lens forms a real image of the object 94.0 cm from the object.What is the focal length of the lens?

An object 1.80 cm tall is placed 100 cm in front of a diverging lens having a focal length of magnitude 25 cm.A converging lens with a focal length of magnitude 33.33 cm is placed 30 cm past the first lens.What is the lateral magnification of this system of lenses?

A convex spherical mirror with a focal length of magnitude 25 cm has a 4.0-cm tall flower placed 100 cm in front of it.What is the height of the image of the flower?

A compound lens is made by joining the plane surfaces of two thin plano-convex lenses of different glasses.The radius of curvature of each convex surface is 80 cm.The indices of refraction of the two glasses are 1.50 and 1.60.What is the focal length of the compound lens?

An object is placed 100 cm in front of a lens of focal length 20 cm.A second lens is placed 35 cm beyond the first,this second lens having a focal length of 8.0 cm.If the height of the object is 6.0 cm,what is the height of the final image?

A 4.0-cm tall object is placed 50.0 cm from a diverging lens having a focal length of magnitude 25.0 cm.What are the nature and location of the image? The image is

A convex lens has focal length f.If an object is located extremely far from the lens (at infinity),the image formed is located what distance from the lens?

The spherical side mirror on a car is convex and has a radius of curvature of 25 cm.Another car is following,20 m behind the mirror.If the height of the car is 1.6 m,how tall is its image?

A 4.0-cm tall object is placed 60 cm away from a converging lens of focal length 30 cm.What are the nature and location of the image? The image is

A convex-concave thin lens is made with the radius of curvature of the convex surface being 25.0 cm and the concave surface 45.0 cm.If the glass used has index of refraction 1.500,what is the focal length of this lens?

A convex lens has a focal length f.An object is placed at a distance between f and 2f on a line perpendicular to the center of the lens.The image formed is located at what distance from the lens?

Suppose you place your face in front of a concave mirror.Which one of the following statements is correct?

In the figure,the radius of curvature of the curved part of the lens is 24.0 cm,and the refractive index of the lens material is 1.750.What is the focal length of the lens?

The focal length of a thin lens is 40 mm and its aperture diameter is 10 mm.What is the f-number of this lens?

An object is placed in front of a lens which forms an image of the object.

The near point of a person's uncorrected eyes is 125.0 cm and the far point is at infinity.What is the focal length of a contact lens that will move the near point to 25.0 cm from this person's eyes?

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