Question 1

If the diameter of a radar dish is doubled,what happens to its resolving power assuming that all other factors remain unchanged?

Accepted Answer

A) The resolving power quadruples. 
B) The resolving power doubles. 
C) The resolving power is reduced to 1/2 of its original value. 
D) The resolving power is reduced to 1/4 of its original value. 
E) The resolving power does not change unless the focal length changes. 
A) The resolving power quadruples. 
B) The resolving power doubles. 
C) The resolving power is reduced to 1/2 of its original value. 
D) The resolving power is reduced to 1/4 of its original value. 
E) The resolving power does not change unless the focal length changes. B

Question 2

A singer is farsighted and cannot see objects clearly that are closer than 80.0 cm from his unaided eye.What is the refractive power of the contact lenses that will move his near point to a distance of 25.0 cm from his eye?

Accepted Answer

A) 2.75 diopters 
B) -2.75 diopters 
C) -4.72 diopters 
D) 4.72 diopters 
E) 7.00 diopters 
A) 2.75 diopters 
B) -2.75 diopters 
C) -4.72 diopters 
D) 4.72 diopters 
E) 7.00 diopters A

Question 3

The objective and the eyepiece of a microscope have focal lengths of 4.00 mm and 25.0 mm,respectively.The objective produces a real image 30 times the size of the object.The final image is viewed at infinity,and the near point of the microscope user is at 25.0 cm.What is the distance between the object and the focal point of the objective?

Accepted Answer

A) 0.13 mm 
B) 0.18 mm 
C) 0.23 mm 
D) 0.28 mm 
E) 0.33 mm 
A) 0.13 mm 
B) 0.18 mm 
C) 0.23 mm 
D) 0.28 mm 
E) 0.33 mm A

Question 4

What is the focal length of a magnifying glass that produces an angular magnification of 7.0 x when used by a person with a near point at 28 cm?

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 5

A nearsighted person has her distant vision corrected using a -2.0-diopter contact lens.Her uncorrected near point is 15 cm.What is her near point using this lens if the lens is 2.0 cm from the eye?

Accepted Answer

A) 17 cm 
B) 20 cm 
C) 13 cm 
D) 18 cm 
E) 15 cm 
A) 17 cm 
B) 20 cm 
C) 13 cm 
D) 18 cm 
E) 15 cm

Question 6

The near point of a farsighted person's uncorrected eyes is 80 cm.What power contact lens should be used to move the near point to 25 cm from this person's eyes?

Accepted Answer

A) 2.8 diopters 
B) -2.8 diopters 
C) -4.0 diopters 
D) -4.2 diopters 
E) 4.2 diopters 
A) 2.8 diopters 
B) -2.8 diopters 
C) -4.0 diopters 
D) -4.2 diopters 
E) 4.2 diopters

Question 7

A myopic (nearsighted)dancer wears eyeglasses that allow him to have clear distant vision.The power of the lenses of his eyeglasses is -3.00 diopters.Without eyeglasses,what is the far point of the dancer?

Accepted Answer

A) 0.33 m 
B) 0.25 m 
C) 0.17 m 
D) 0.42 m 
E) 0.50 m 
A) 0.33 m 
B) 0.25 m 
C) 0.17 m 
D) 0.42 m 
E) 0.50 m

Question 8

A 10-inch telescope (25.4 cm in diameter)is used to determine if what appears to be one star is actually two stars.Stars are so far away that they are essentially point sources.How close (in angle)can the two stars be and still be resolved by this telescope if it is focusing light of wavelength of 550 nm? (Consider only the limitation due to diffraction.)

Accepted Answer

A) 4.2 × 10-8 degree 
B) 2.6 × 10-6 degree 
C) 3.0 × 10-4 degree 
D) 1.5 × 10-4 degree 
E) 6.6 × 10-8 degree 
A) 4.2 × 10-8 degree 
B) 2.6 × 10-6 degree 
C) 3.0 × 10-4 degree 
D) 1.5 × 10-4 degree 
E) 6.6 × 10-8 degree

Question 9

What is the uncorrected near point of a person who has a near point that is 25 cm from his eyes when he is wearing 3.33-diopter contact lenses?

Accepted Answer

A) 1.5 m 
B) 0.50 m 
C) 1.9 m 
D) 0.75 m 
E) 0.60 m 
A) 1.5 m 
B) 0.50 m 
C) 1.9 m 
D) 0.75 m 
E) 0.60 m

Question 10

A radio telescope 200 m in diameter is used to investigate sources emitting a 21-cm wavelength wave.What is the minimum angular separation of the sources that can be resolved by this system?

Accepted Answer

A) 0.073° 
B) 0.030° 
C) 0.0013° 
D) 0.154° 
E) 0.0026° 
A) 0.073° 
B) 0.030° 
C) 0.0013° 
D) 0.154° 
E) 0.0026°

Question 11

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 12

A person can read the newspaper when it is held at 60 cm from his eyes.What should the focal length of his contact lenses be to allow him to read the newspaper comfortably at a distance of 30 cm?

Accepted Answer

A) -30 cm 
B) 30 cm 
C) -60 cm 
D) 60 cm 
E) 90 cm 
A) -30 cm 
B) 30 cm 
C) -60 cm 
D) 60 cm 
E) 90 cm

Question 13

A 35-mm camera equipped with a 95 mm focal length lens is used to photograph a tree that is 8.0 m tall.A 32 mm high image of the tree on the film is needed.The required distance,between the tree and the camera lens,to take the photograph is closest to

Accepted Answer

A) 24 m. 
B) 25 m. 
C) 26 m. 
D) 27 m. 
E) 29 m. 
A) 24 m. 
B) 25 m. 
C) 26 m. 
D) 27 m. 
E) 29 m.

Question 14

A machinist with normal vision has a near point at 25 cm.The machinist wears eyeglasses in order to do close work.The power of the lenses is +1.75 diopters.With these eyeglasses,what is the near point of the machinist?

Accepted Answer

A) 17 cm 
B) 14 cm 
C) 10 cm 
D) 21 cm 
E) 24 cm 
A) 17 cm 
B) 14 cm 
C) 10 cm 
D) 21 cm 
E) 24 cm

Question 15

A simple refracting telescope provides large magnification by employing

Accepted Answer

A) a short focal length objective and a short focal length eyepiece. 
B) a short focal length objective and a long focal length eyepiece. 
C) a long focal length objective and a short focal length eyepiece. 
D) a long focal length objective and a long focal length eyepiece. 
A) a short focal length objective and a short focal length eyepiece. 
B) a short focal length objective and a long focal length eyepiece. 
C) a long focal length objective and a short focal length eyepiece. 
D) a long focal length objective and a long focal length eyepiece.

Question 16

In a 35.0-mm single lens reflex camera (SLR),the distance from the lens to the film is varied in order to focus on objects at varying distances.Over what distance range must a lens of 55-mm focal length vary if the camera is to be able to focus on objects ranging in distance from infinity down to 0.60 m from the camera?

Accepted Answer

A) 5.55 mm 
B) 4.44 mm 
C) 16.7 mm 
D) 22.2 mm 
E) 7.77 mm 
A) 5.55 mm 
B) 4.44 mm 
C) 16.7 mm 
D) 22.2 mm 
E) 7.77 mm

Question 17

The angular magnification of a refracting telescope is 40 x.When the object and final image are both at infinity,the distance between the eyepiece and the objective is 143.5 cm.The telescope is used to view a distant radio tower.The real image of the tower,formed by the objective,is 6.0 mm in height.The focal point of the eyepiece is positioned at the real image.What is the focal length of the objective lens?

Accepted Answer

A) 137 cm 
B) 138 cm 
C) 139 cm 
D) 140 cm 
E) 141 cm 
A) 137 cm 
B) 138 cm 
C) 139 cm 
D) 140 cm 
E) 141 cm

Question 18

Light of wavelength 633 nm from a He-Ne laser passes through a circular aperture and is observed on a screen 4.0 m behind the aperture.The diameter of the central bright area is 5.4 cm.What is the diameter of the aperture?

Accepted Answer

A) 110 μm 
B) 2.0 μm 
C) 6600 μm 
D) 960 μm 
A) 110 μm 
B) 2.0 μm 
C) 6600 μm 
D) 960 μm

Question 19

A beam of light of two different wavelengths enters a pane of glass 3.00 mm thick at an angle of incidence of 56°.The indices of refraction for the two different colors are 1.514 and 1.528.Because of dispersion,the colored beams,although parallel,are separated by a small distance.How far apart are they?

Accepted Answer

A) 0.057 mm 
B) 0.0083 mm 
C) 0.025 mm 
D) 0.014 mm 
E) 0.0062 mm 
A) 0.057 mm 
B) 0.0083 mm 
C) 0.025 mm 
D) 0.014 mm 
E) 0.0062 mm

Question 20

Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole.A screen is placed 6.3 m behind the slit.What is the diameter of the central bright area on the screen?

Accepted Answer

A) 15 mm 
B) 270 μm 
C) 7.7 mm 
D) 3800 μm 
A) 15 mm 
B) 270 μm 
C) 7.7 mm 
D) 3800 μm

Exam 35: Optical Instruments

If the diameter of a radar dish is doubled,what happens to its resolving power assuming that all other factors remain unchanged?

A singer is farsighted and cannot see objects clearly that are closer than 80.0 cm from his unaided eye.What is the refractive power of the contact lenses that will move his near point to a distance of 25.0 cm from his eye?

What is the focal length of a magnifying glass that produces an angular magnification of 7.0 x when used by a person with a near point at 28 cm?

A nearsighted person has her distant vision corrected using a -2.0-diopter contact lens.Her uncorrected near point is 15 cm.What is her near point using this lens if the lens is 2.0 cm from the eye?

The near point of a farsighted person's uncorrected eyes is 80 cm.What power contact lens should be used to move the near point to 25 cm from this person's eyes?

A myopic (nearsighted)dancer wears eyeglasses that allow him to have clear distant vision.The power of the lenses of his eyeglasses is -3.00 diopters.Without eyeglasses,what is the far point of the dancer?

What is the uncorrected near point of a person who has a near point that is 25 cm from his eyes when he is wearing 3.33-diopter contact lenses?

A radio telescope 200 m in diameter is used to investigate sources emitting a 21-cm wavelength wave.What is the minimum angular separation of the sources that can be resolved by this system?

A person can read the newspaper when it is held at 60 cm from his eyes.What should the focal length of his contact lenses be to allow him to read the newspaper comfortably at a distance of 30 cm?

A 35-mm camera equipped with a 95 mm focal length lens is used to photograph a tree that is 8.0 m tall.A 32 mm high image of the tree on the film is needed.The required distance,between the tree and the camera lens,to take the photograph is closest to

A machinist with normal vision has a near point at 25 cm.The machinist wears eyeglasses in order to do close work.The power of the lenses is +1.75 diopters.With these eyeglasses,what is the near point of the machinist?

A simple refracting telescope provides large magnification by employing

Light of wavelength 633 nm from a He-Ne laser passes through a circular aperture and is observed on a screen 4.0 m behind the aperture.The diameter of the central bright area is 5.4 cm.What is the diameter of the aperture?

Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole.A screen is placed 6.3 m behind the slit.What is the diameter of the central bright area on the screen?

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