Question 1

Eyes: 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 2

Dispersion: A ray of light consisting of blue light (wavelength 480 nm) and red light (wavelength 670 nm) is incident on a thick piece of glass at 80°. What is the angular separation between the refracted red and refracted blue beams while they are in the glass? (The respective indices of refraction for the blue light and the red light are 1.4636 and 1.4561.)

Accepted Answer

A)  0.27° 
B)  0.33° 
C)  0.36° 
D)  0.46° 
E)  0.54° 
A)  0.27° 
B)  0.33° 
C)  0.36° 
D)  0.46° 
E)  0.54°

Question 3

Index of refraction: When light goes from one material into another material having a HIGHER index of refraction,

Accepted Answer

A)  its speed, wavelength, and frequency all decrease. 
B)  its speed and wavelength decrease, but its frequency stays the same. 
C)  its speed decreases but its wavelength and frequency both increase. 
D)  its speed decreases but its frequency and wavelength stay the same. 
E)  its speed increases, its wavelength decreases, and its frequency stays the same. 
A)  its speed, wavelength, and frequency all decrease. 
B)  its speed and wavelength decrease, but its frequency stays the same. 
C)  its speed decreases but its wavelength and frequency both increase. 
D)  its speed decreases but its frequency and wavelength stay the same. 
E)  its speed increases, its wavelength decreases, and its frequency stays the same.

Question 4

Refracting telescope: 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 5

Refracting telescope: 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

Polarization: The critical angle for an air-glass interface is 29.6°. When a light ray in air is incident on the interface, the reflected ray is 100% polarized. What is the angle of refraction of that ray?

Accepted Answer

A)  26.3° 
B)  25.7° 
C)  25.1° 
D)  24.5° 
E)  23.9° 
A)  26.3° 
B)  25.7° 
C)  25.1° 
D)  24.5° 
E)  23.9°

Question 7

Compound microscope: 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 8

Refraction at a curved surface: A fish appears to be 2.00 m below the surface of a pond when viewed almost directly above by a fisherman. What is the actual depth of the fish? (nwater = 1.33)

Accepted Answer

A)  2.66 m 
B)  0.67 m 
C)  1.5 m 
D)  0.38 m 
A)  2.66 m 
B)  0.67 m 
C)  1.5 m 
D)  0.38 m

Question 9

Eyes: 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 10

Thin lenses: An object is placed 100 cm in front of a diverging lens with a focal length of magnitude 25 cm. A converging lens having a focal length of magnitude 33.33 cm is placed 30 cm past the first lens. Where is the final image formed?

Accepted Answer

A)  30 cm after the second lens 
B)  20 cm in front of the first lens 
C)  3.0 meters before the second lens 
D)  100 cm after the second lens 
E)  3.0 cm before the second lens 
A)  30 cm after the second lens 
B)  20 cm in front of the first lens 
C)  3.0 meters before the second lens 
D)  100 cm after the second lens 
E)  3.0 cm before the second lens

Question 11

Eyes: A man is nearsighted and cannot see things clearly beyond 110 cm from his eyes. What is the focal length of the contact lenses that will enable him to see very distant objects 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 12

Spherical mirrors: A concave spherical mirror with a radius of 20 cm creates a real image 30 cm from the mirror. How far is the object from the mirror?

Accepted Answer

A)  50 cm 
B)  20 cm 
C)  15 cm 
D)  7.5 cm 
E)  5.0 cm 
A)  50 cm 
B)  20 cm 
C)  15 cm 
D)  7.5 cm 
E)  5.0 cm

Question 13

Plane mirrors: How far are you from your image when you stand 0.750 m in front of a vertical plane mirror?

Accepted Answer

A)  0.375 m 
B)  0.750 m 
C)  1.50 m 
D)  3.00 m 
A)  0.375 m 
B)  0.750 m 
C)  1.50 m 
D)  3.00 m

Question 14

Thin lenses: 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 15

Polarization: The following are positioned in sequence: A source of a beam of natural light of intensity I0; three ideal polarizers A, B, and C; and an observer. Polarizer axis angles are measured clockwise from the vertical, from the perspective of the observer. The axis angle of polarizer A is set at 0° (vertical), and the axis angle of polarizer C is set at 50°. Polarizer B is set so that the beam intensity is zero at the observer. Which of the following pairs of angles are possible axis angle settings of polarizer B?

Accepted Answer

A)  40° and 90° 
B)  40° and 130° 
C)  40° and 140° 
D)  90° and 130° 
E)  90° and 140° 
A)  40° and 90° 
B)  40° and 130° 
C)  40° and 140° 
D)  90° and 130° 
E)  90° and 140°

Question 16

Total internal reflection: The critical angle in air for a particular type of glass is 39.0°. What is the speed of light in this class glass? (c = 3.00 × 108 m/s)

Accepted Answer

A)  1.97 × 108 m/s 
B)  1.94 × 108 m/s 
C)  1.91 × 108 m/s 
D)  1.89 × 108 m/s 
E)  2.00 × 108 m/s 
A)  1.97 × 108 m/s 
B)  1.94 × 108 m/s 
C)  1.91 × 108 m/s 
D)  1.89 × 108 m/s 
E)  2.00 × 108 m/s

Question 17

Eyes: 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

Question 18

Polarization: In the figure, the orientation of the transmission axis for each of three polarizing sheets is labeled relative to the vertical direction. A beam of light, polarized in the vertical direction, is incident on the first polarized with an intensity of 1000 W/m2. What is the intensity of the beam after it has passed through the three polarizing sheets when θ1 = 30°, θ2 = 30° and θ3 =60°?

Accepted Answer

A)  141 W/m2 
B)  316 W/m2 
C)  433 W/m2 
D)  563 W/m2 
E)  188 W/m2 
A)  141 W/m2 
B)  316 W/m2 
C)  433 W/m2 
D)  563 W/m2 
E)  188 W/m2

Question 19

Spherical mirrors: An object 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror. The radius of curvature of the mirror has a magnitude of 52 cm.
(a) How far is the image from the vertex of the mirror?
(b) What is the height of the image?

Accepted Answer

(a) 13 cm

Question 20

Spherical mirrors: The image of a plant is 4.0 cm from a concave spherical mirror having a radius of curvature of 10 cm. Where is the plant relative to the mirror?

Accepted Answer

A)  2.2 cm in front of the mirror 
B)  4.4 cm in front of the mirror 
C)  9.0 cm in front of the mirror 
D)  1.0 cm in front of the mirror 
E)  20 cm in front of the mirror 
A)  2.2 cm in front of the mirror 
B)  4.4 cm in front of the mirror 
C)  9.0 cm in front of the mirror 
D)  1.0 cm in front of the mirror 
E)  20 cm in front of the mirror

Exam 27: Magnetic Field and Magnetic Forces

Eyes: 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?

Index of refraction: When light goes from one material into another material having a HIGHER index of refraction,

Polarization: The critical angle for an air-glass interface is 29.6°. When a light ray in air is incident on the interface, the reflected ray is 100% polarized. What is the angle of refraction of that ray?

Refraction at a curved surface: A fish appears to be 2.00 m below the surface of a pond when viewed almost directly above by a fisherman. What is the actual depth of the fish? (nwater = 1.33)

Eyes: 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?

Thin lenses: An object is placed 100 cm in front of a diverging lens with a focal length of magnitude 25 cm. A converging lens having a focal length of magnitude 33.33 cm is placed 30 cm past the first lens. Where is the final image formed?

Eyes: A man is nearsighted and cannot see things clearly beyond 110 cm from his eyes. What is the focal length of the contact lenses that will enable him to see very distant objects clearly?

Spherical mirrors: A concave spherical mirror with a radius of 20 cm creates a real image 30 cm from the mirror. How far is the object from the mirror?

Plane mirrors: How far are you from your image when you stand 0.750 m in front of a vertical plane mirror?

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

Total internal reflection: The critical angle in air for a particular type of glass is 39.0°. What is the speed of light in this class glass? (c = 3.00 × 108 m/s)

Eyes: 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?

Spherical mirrors: An object 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror. The radius of curvature of the mirror has a magnitude of 52 cm. (a) How far is the image from the vertex of the mirror? (b) What is the height of the image?

Spherical mirrors: The image of a plant is 4.0 cm from a concave spherical mirror having a radius of curvature of 10 cm. Where is the plant relative to the mirror?

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

Momentum, Impulse, and Collisions

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

Periodic Motion

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves Optics

The Nature and Propagation of Light

Geometric Optics

Interference

Filters

Refraction at a curved surface: A fish appears to be 2.00 m below the surface of a pond when viewed almost directly above by a fisherman. What is the actual depth of the fish? (n_water = 1.33)

Total internal reflection: The critical angle in air for a particular type of glass is 39.0°. What is the speed of light in this class glass? (c = 3.00 × 10⁸ m/s)