Question 1

The length of a telescope is 2.00 m and the focal length of the objective lens is 2.0 cm. What is the focal length of the eyepiece?

Accepted Answer

A)  200 cm 
B)  202 cm 
C)  101 cm 
D)  2.0 cm 
E)  198 cm 
A)  200 cm 
B)  202 cm 
C)  101 cm 
D)  2.0 cm 
E)  198 cm

Question 2

In one particular case, the limiting angle of resolution for an eye is 1.4 × 10-4 rad. What is the minimum separation between two point sources of light that the eye can distinguish if they are at a distance of 40 m from the observer?

Accepted Answer

A)  2.8 mm 
B)  5.6 mm 
C)  1.4 mm 
D)  8.4 mm 
E)  4.7 mm 
A)  2.8 mm 
B)  5.6 mm 
C)  1.4 mm 
D)  8.4 mm 
E)  4.7 mm

Question 3

When a person with a near point at 28 cm uses a certain magnifying glass, it produces an angular magnification of 7.0 with the image very distant. What is the focal length of the lens of this magnifying glass?

Accepted Answer

A)  2.0 cm 
B)  3.0 cm 
C)  4.0 cm 
D)  5.0 cm 
E)  6.0 cm 
A)  2.0 cm 
B)  3.0 cm 
C)  4.0 cm 
D)  5.0 cm 
E)  6.0 cm

Question 4

A compound microscope has an objective with a focal length of 3.00 mm and an eyepiece of focal length 6.00 cm. It is adjusted for minimum eyestrain for persons with a near point of 25 cm. If the two lenses are separated by 40.0 cm, what is the total overall magnification?

Accepted Answer

A)  28 
B)  56 
C)  470 
D)  550 
E)  2200 
A)  28 
B)  56 
C)  470 
D)  550 
E)  2200

Question 5

The near point of a farsighted person is 65 cm. What power contact lens must he use to correct this problem and be able to read a book at a normal near point of 25 cm?

Accepted Answer

A)  -4.2 diopters 
B)  -2.5 diopters 
C)  -2.4 diopters 
D)  +4.2 diopters 
E)  +2.5 diopters 
A)  -4.2 diopters 
B)  -2.5 diopters 
C)  -2.4 diopters 
D)  +4.2 diopters 
E)  +2.5 diopters

Question 6

Diego is nearsighted and cannot see things beyond 110 cm from his eyes. What is the focal length of the contact lenses that will enable him to comfortably see distant hills clearly?

Accepted Answer

A)  +50 cm 
B)  -50 cm 
C)  -110 cm 
D)  +110 cm 
E)  -30 cm 
A)  +50 cm 
B)  -50 cm 
C)  -110 cm 
D)  +110 cm 
E)  -30 cm

Question 7

The objective lens and the eyepiece of a microscope have focal lengths of 4.0 mm and 25 mm, respectively. The objective produces a real image 30 times the size of the object, with the final image viewed at infinity. The near point of the microscope user is at 25 cm. What is the distance between the objective lens and the real image that it produces?

Accepted Answer

A)  116 mm 
B)  120 mm 
C)  124 mm 
D)  128 mm 
E)  132 mm 
A)  116 mm 
B)  120 mm 
C)  124 mm 
D)  128 mm 
E)  132 mm

Question 8

The objective lens of a microscope has a focal length of 2.4 mm and the eyepiece has an angular magnification of 15. The object is positioned 0.060 mm beyond the focal point of the objective. The focal point of the eyepiece is positioned at the real image formed by the objective. The near point of the microscope user is at 25 cm. What is the distance between the objective lens and the eyepiece?

Accepted Answer

A)  98 mm 
B)  102 mm 
C)  107 mm 
D)  111 mm 
E)  115 mm 
A)  98 mm 
B)  102 mm 
C)  107 mm 
D)  111 mm 
E)  115 mm

Question 9

A refracting telescope has an eyepiece of focal length -80 mm and an objective of focal length 36 cm. What is the magnification of this instrument?

Accepted Answer

The answer of A refracting telescope has an eyepiece of...

Question 10

What power contact lens is needed to correct for farsightedness where the uncorrected near point is 75 cm?

Accepted Answer

A)  +2.7 D 
B)  -2.7 D 
C)  +5.3 D 
D)  -5.3 D 
A)  +2.7 D 
B)  -2.7 D 
C)  +5.3 D 
D)  -5.3 D

Question 11

What power (in diopters) of corrective contact lens is required to correct the vision of a myopic eye whose far point is at 170 cm?

Accepted Answer

The answer of What power (in diopters) of corrective contact...

Question 12

A refracting telescope has a magnification M. If the focal length of the objective lens is doubled and the eyepiece focal length is halved, what is the new magnification?

Accepted Answer

A)  4M 
B)  2M 
C)  M/2 
D)  M/4 
E)  M 
A)  4M 
B)  2M 
C)  M/2 
D)  M/4 
E)  M

Question 13

With what color light would you expect to be able to see the finest detail when using a microscope?

Accepted Answer

A)  red, because of its long wavelength 
B)  yellow, because of its intermediate wavelength 
C)  blue, because of its shorter wavelength 
D)  The color does not matter. 
A)  red, because of its long wavelength 
B)  yellow, because of its intermediate wavelength 
C)  blue, because of its shorter wavelength 
D)  The color does not matter.

Question 14

The objective lens of a refracting astronomical telescope has a focal length of 60 cm, and the eyepiece has a focal length of 2.0 cm. How far apart should the lenses be placed in order to form a final image at infinity?

Accepted Answer

A)  44 cm 
B)  58 cm 
C)  76 cm 
D)  60 cm 
E)  62 cm 
A)  44 cm 
B)  58 cm 
C)  76 cm 
D)  60 cm 
E)  62 cm

Question 15

The focal length of the objective lens of a telescope is 0.20 m and the eyepiece has a focal length of 1.6 m. What is the length of this telescope?

Accepted Answer

A)  8.0 m 
B)  1.4 m 
C)  0.90 m 
D)  1.6 m 
E)  1.8 m 
A)  8.0 m 
B)  1.4 m 
C)  0.90 m 
D)  1.6 m 
E)  1.8 m

Question 16

Assuming a pupil diameter of 3 mm, what is the angular resolution of the human eye for light at the middle of the visible spectrum (550 nm)?

Accepted Answer

A)  0.8° 
B)  0.2° 
C)  2 mrad 
D)  0.01° 
E)  2° 
A)  0.8° 
B)  0.2° 
C)  2 mrad 
D)  0.01° 
E)  2°

Question 17

If the back of a person's eye is too close to the lens, this person is suffering from

Accepted Answer

A)  nearsightedness. 
B)  spherical aberration. 
C)  astigmatism. 
D)  chromatic aberration. 
E)  farsightedness. 
A)  nearsightedness. 
B)  spherical aberration. 
C)  astigmatism. 
D)  chromatic aberration. 
E)  farsightedness.

Question 18

The focal length of a converging lens is 10 cm. What is the angular magnification of this lens if the image is viewed by a relaxed eye with a near point of 25 cm?

Accepted Answer

A)  0.50 
B)  1.5 
C)  2.5 
D)  3.5 
E)  4.5 
A)  0.50 
B)  1.5 
C)  2.5 
D)  3.5 
E)  4.5

Question 19

What is the angular magnification of a magnifying glass of focal length 4.0 cm if the image is to be viewed by a relaxed eye having a near point of 25 cm?

Accepted Answer

A)  2.0 
B)  3.0 
C)  3.6 
D)  4.0 
E)  6.3 
A)  2.0 
B)  3.0 
C)  3.6 
D)  4.0 
E)  6.3

Question 20

The eyepiece of a compound microscope has a focal length of 2.50 cm, and the objective has a focal length of 1.60 cm. The two lenses are separated by 14.0 cm. The microscope is used by a person with normal eyes, having a near point at 25 cm. What is the magnitude of the magnification of the microscope?

Accepted Answer

A)  72 
B)  88 
C)  180 
D)  219 
E)  115 
A)  72 
B)  88 
C)  180 
D)  219 
E)  115

Exam 19: Optical Instruments

The length of a telescope is 2.00 m and the focal length of the objective lens is 2.0 cm. What is the focal length of the eyepiece?

In one particular case, the limiting angle of resolution for an eye is 1.4 × 10-4 rad. What is the minimum separation between two point sources of light that the eye can distinguish if they are at a distance of 40 m from the observer?

When a person with a near point at 28 cm uses a certain magnifying glass, it produces an angular magnification of 7.0 with the image very distant. What is the focal length of the lens of this magnifying glass?

A compound microscope has an objective with a focal length of 3.00 mm and an eyepiece of focal length 6.00 cm. It is adjusted for minimum eyestrain for persons with a near point of 25 cm. If the two lenses are separated by 40.0 cm, what is the total overall magnification?

The near point of a farsighted person is 65 cm. What power contact lens must he use to correct this problem and be able to read a book at a normal near point of 25 cm?

Diego is nearsighted and cannot see things beyond 110 cm from his eyes. What is the focal length of the contact lenses that will enable him to comfortably see distant hills clearly?

A refracting telescope has an eyepiece of focal length -80 mm and an objective of focal length 36 cm. What is the magnification of this instrument?

What power contact lens is needed to correct for farsightedness where the uncorrected near point is 75 cm?

What power (in diopters) of corrective contact lens is required to correct the vision of a myopic eye whose far point is at 170 cm?

A refracting telescope has a magnification M. If the focal length of the objective lens is doubled and the eyepiece focal length is halved, what is the new magnification?

With what color light would you expect to be able to see the finest detail when using a microscope?

The objective lens of a refracting astronomical telescope has a focal length of 60 cm, and the eyepiece has a focal length of 2.0 cm. How far apart should the lenses be placed in order to form a final image at infinity?

The focal length of the objective lens of a telescope is 0.20 m and the eyepiece has a focal length of 1.6 m. What is the length of this telescope?

Assuming a pupil diameter of 3 mm, what is the angular resolution of the human eye for light at the middle of the visible spectrum (550 nm)?

If the back of a person's eye is too close to the lens, this person is suffering from

The focal length of a converging lens is 10 cm. What is the angular magnification of this lens if the image is viewed by a relaxed eye with a near point of 25 cm?

What is the angular magnification of a magnifying glass of focal length 4.0 cm if the image is to be viewed by a relaxed eye having a near point of 25 cm?

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In one particular case, the limiting angle of resolution for an eye is 1.4 × 10^-4 rad. What is the minimum separation between two point sources of light that the eye can distinguish if they are at a distance of 40 m from the observer?