Question 1

If an x-ray beam of wavelength 1.4 × 10-10 m makes an angle of 30° with a set of planes in a crystal causing first order constructive interference,what is the plane spacing?

Accepted Answer

A)  0.28 nm 
B)  0.070 nm 
C)  0.32 nm 
D)  0.16 nm 
E)  0.14 nm 
A)  0.28 nm 
B)  0.070 nm 
C)  0.32 nm 
D)  0.16 nm 
E)  0.14 nm

Question 2

A pair of charged conducting plates produces a uniform field of 12,000 N/C,directed to the right,between the plates.The separation of the plates is 40 mm.An electron is projected from plate A,directly toward plate B,with an initial velocity of vo = 2.0 × 107 m/s,as shown in the figure.(e = 1.60 × 10-19 C,
Ε0 = 8.85 × 10-12 C2/N • m2,mel = 9.11 × 10-31 kg)The velocity of the electron as it strikes plate B is closest to

Accepted Answer

A)  1.2 × 107 m/s. 
B)  1.5 × 107 m/s. 
C)  1.8 × 107 m/s. 
D)  2.1 × 107 m/s. 
E)  2.4 × 107 m/s. 
A)  1.2 × 107 m/s. 
B)  1.5 × 107 m/s. 
C)  1.8 × 107 m/s. 
D)  2.1 × 107 m/s. 
E)  2.4 × 107 m/s.

Question 3

A Carnot engine operating between a reservoir of liquid mercury at its melting point (233 K)and a colder reservoir extracts 10.0 J of heat from the mercury and does 8.0 J of work during each cycle.What is the temperature of the colder reservoir?

Accepted Answer

A)  47 K 
B)  186 K 
C)  163 K 
D)  207 K 
A)  47 K 
B)  186 K 
C)  163 K 
D)  207 K

Question 4

The radius of the earth is R. At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s2?

Accepted Answer

A)  0.41R 
B)  0.50R 
C)  1.0R 
D)  1.4R 
E)  2.0R 
A)  0.41R 
B)  0.50R 
C)  1.0R 
D)  1.4R 
E)  2.0R

Question 5

The figure shows a velocity selector that can be used to measure the speed of a charged particle.A beam of particles is directed along the axis of the instrument.A parallel plate capacitor sets up an electric field E,which is oriented perpendicular to a uniform magnetic field B.If the plates are separated by
2)0 mm and the value of the magnetic field is 0.60 T,what voltage between the plates will allow particles of speed 5.0 × 105 m/s to pass straight through without deflection?

Accepted Answer

A)  600 V 
B)  1900 V 
C)  3800 V 
D)  190 V 
E)  94 V 
A)  600 V 
B)  1900 V 
C)  3800 V 
D)  190 V 
E)  94 V

Question 6

For an RLC ac circuit,the rms current is 10 A.If the impedance is 12 kΩ when the voltage leads the current by 39°,find the average power of the circuit.

Accepted Answer

A)  930 kW 
B)  47 kW 
C)  93 kW 
D)  190 kW 
A)  930 kW 
B)  47 kW 
C)  93 kW 
D)  190 kW

Question 7

A soap bubble,when illuminated with light of frequency 5.11 × 1014 Hz,appears to be especially reflective.If it is surrounded by air and if its index of refraction is 1.35,what is the thinnest thickness the soap film can be? (c = 3.00 × 108 m/s)

Accepted Answer

Question 8

A restoring force of magnitude F acts on a system with a displacement of magnitude x.In which of the following cases will the system undergo simple harmonic motion?

Accepted Answer

A)  F  
  
B)  F   sin x 
C)  F   x2 
D)  F   x 
E)  F   1/x 
A)  F  
  
B)  F   sin x 
C)  F   x2 
D)  F   x 
E)  F   1/x

Question 9

The 60-Hz ac source of the series circuit shown in the figure has a voltage amplitude of 120 V.The capacitive reactance is 790 Ω,the inductive reactance is 270 Ω,and the resistance is 500Ω.   
(a)What is the capacitance of the capacitor?
(b)What is the inductance of the inductor?

Accepted Answer

(a)3.4 µF

Question 10

One of the dangers of tornados and hurricanes is the rapid drop in air pressure that is associated with such storms.Assume that the air pressure inside of a sealed house is 1.02 atm when a hurricane hits.The hurricane rapidly decreases the external air pressure to 0.910 atm.A square window in an outside wall of the house measures 2.02 m on each side.What net force (directed outwards)is exerted on this window?
(1 atm = 1.01 × 105 Pa.)

Accepted Answer

A)  4.53 × 104 N 
B)  5.14 × 104 N 
C)  4.78 × 105 N 
D)  5.37 × 105 N 
A)  4.53 × 104 N 
B)  5.14 × 104 N 
C)  4.78 × 105 N 
D)  5.37 × 105 N

Question 11

An air-filled capacitor stores a potential energy of 6.00 mJ due to its charge.It is accidentally filled with water in such a way as not to discharge its plates.How much energy does it continue to store after it is filled? (The dielectric constant for water is 78 and for air it is 1.0006.)

Accepted Answer

A)  0.077 mJ 
B)  468 mJ 
C)  0.040 mJ 
D)  6.00 mJ 
A)  0.077 mJ 
B)  468 mJ 
C)  0.040 mJ 
D)  6.00 mJ

Question 12

A rock is suspended from a scale reads 20.0 N.A beaker of water (having a density of 1000 kg/m3)is raised up so the rock is totally submerged in the water.The scale now reads 12.5 N.What is the density of the rock?

Accepted Answer

A)  1.60 × 103 kg/m3 
B)  2.50 × 103 kg/m3 
C)  2.33 × 103 kg/m3 
D)  3.00 × 103 kg/m3 
E)  2.67 × 103 kg/m3 
A)  1.60 × 103 kg/m3 
B)  2.50 × 103 kg/m3 
C)  2.33 × 103 kg/m3 
D)  3.00 × 103 kg/m3 
E)  2.67 × 103 kg/m3

Question 13

An object starts its motion with a constant velocity of 2.0 m/s toward the east.After 3.0 s,the object stops for 1.0 s.The object then moves toward the west a distance of 2.0 m in 3.0 s.The object continues traveling in the same direction,but increases its speed by 1.0 m/s for the next 2.0 s.Which graph below could represent the motion of this object?

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 14

The magnitude of the magnetic field at point P for a certain electromagnetic wave is 2.12 μT.What is the magnitude of the electric field for that wave at P? (c = 3.0 × 108 m/s)

Accepted Answer

A)  636 N/C 
B)  745 N/C 
C)  5.23 µN/C 
D)  6.36 µN/C 
E)  7.45 µN/C 
A)  636 N/C 
B)  745 N/C 
C)  5.23 µN/C 
D)  6.36 µN/C 
E)  7.45 µN/C

Question 15

Vector   
has a magnitude of 75.0 cm and points at 30° above the positive x-axis. Vector   
has a magnitude of 25.0 cm and points along the negative x-axis. Vector   
has a magnitude of 40.0 cm and points at 45° below the negative x-axis.
(a)Determine the x and y components of Vector   .
(b)Determine the x and y components of Vector   .
(c)Determine the x and y components of Vector   .
(d)Determine x and y components of the sum of these three vectors.
(e)Determine the magnitude and direction of the sum of these three vectors.

Accepted Answer

(a)A_x = 65 cm ,A_y = 38 cm (b)B_x =

Question 16

An electron moving perpendicular to a uniform magnetic field of 3.2 × 10-2 T moves in a circle of radius 0.40 cm.How fast is this electron moving? (mel = 9.11 × 10-31 kg.e = 1.60 × 10-19C)

Accepted Answer

A)  2.2 × 107 m/s 
B)  1.9 × 10-2 m/s 
C)  1.9 × 10-30 m/s 
D)  3.0 × 106 m/s 
A)  2.2 × 107 m/s 
B)  1.9 × 10-2 m/s 
C)  1.9 × 10-30 m/s 
D)  3.0 × 106 m/s

Question 17

The current definition of the standard meter of length is based on

Accepted Answer

A)  the distance between the earth's equator and north pole. 
B)  the distance between the earth and the sun. 
C)  the distance traveled by light in a vacuum. 
D)  the length of a particular object kept in France. 
A)  the distance between the earth's equator and north pole. 
B)  the distance between the earth and the sun. 
C)  the distance traveled by light in a vacuum. 
D)  the length of a particular object kept in France.

Question 18

At a certain depth in the ocean,the absolute pressure is p.If you go to twice that depth (treating the water as incompressible)

Accepted Answer

A)  the absolute pressure will be 2p. 
B)  the absolute pressure will be less than 2p. 
C)  the absolute pressure will be greater than 2p. 
D)  the gauge pressure will not change. 
E)  the gauge pressure will increase but will not double. 
A)  the absolute pressure will be 2p. 
B)  the absolute pressure will be less than 2p. 
C)  the absolute pressure will be greater than 2p. 
D)  the gauge pressure will not change. 
E)  the gauge pressure will increase but will not double.

Question 19

A half-ring (semicircle)of uniformly distributed charge Q has radius R.What is the electric potential at its center?

Accepted Answer

The answer of A half-ring (semicircle)of uniformly distributed charge Q...

Question 20

A single slit forms a diffraction pattern with monochromatic light.The 4th minimum of the pattern occurs at an angle of 35° from the central maximum.How many bright bands are on each side of the central maximum?

Accepted Answer

A)  5 
B)  4 
C)  6 
D)  7 
E)  8 
A)  5 
B)  4 
C)  6 
D)  7 
E)  8

Exam 1: A: Foundations

If an x-ray beam of wavelength 1.4 × 10-10 m makes an angle of 30° with a set of planes in a crystal causing first order constructive interference,what is the plane spacing?

A Carnot engine operating between a reservoir of liquid mercury at its melting point (233 K)and a colder reservoir extracts 10.0 J of heat from the mercury and does 8.0 J of work during each cycle.What is the temperature of the colder reservoir?

The radius of the earth is R. At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s2?

For an RLC ac circuit,the rms current is 10 A.If the impedance is 12 kΩ when the voltage leads the current by 39°,find the average power of the circuit.

A soap bubble,when illuminated with light of frequency 5.11 × 1014 Hz,appears to be especially reflective.If it is surrounded by air and if its index of refraction is 1.35,what is the thinnest thickness the soap film can be? (c = 3.00 × 108 m/s)

A restoring force of magnitude F acts on a system with a displacement of magnitude x.In which of the following cases will the system undergo simple harmonic motion?

The 60-Hz ac source of the series circuit shown in the figure has a voltage amplitude of 120 V.The capacitive reactance is 790 Ω,the inductive reactance is 270 Ω,and the resistance is 500Ω. (a)What is the capacitance of the capacitor? (b)What is the inductance of the inductor?

An air-filled capacitor stores a potential energy of 6.00 mJ due to its charge.It is accidentally filled with water in such a way as not to discharge its plates.How much energy does it continue to store after it is filled? (The dielectric constant for water is 78 and for air it is 1.0006.)

A rock is suspended from a scale reads 20.0 N.A beaker of water (having a density of 1000 kg/m3)is raised up so the rock is totally submerged in the water.The scale now reads 12.5 N.What is the density of the rock?

The magnitude of the magnetic field at point P for a certain electromagnetic wave is 2.12 μT.What is the magnitude of the electric field for that wave at P? (c = 3.0 × 108 m/s)

An electron moving perpendicular to a uniform magnetic field of 3.2 × 10-2 T moves in a circle of radius 0.40 cm.How fast is this electron moving? (mel = 9.11 × 10-31 kg.e = 1.60 × 10-19C)

The current definition of the standard meter of length is based on

At a certain depth in the ocean,the absolute pressure is p.If you go to twice that depth (treating the water as incompressible)

A half-ring (semicircle)of uniformly distributed charge Q has radius R.What is the electric potential at its center?

A single slit forms a diffraction pattern with monochromatic light.The 4th minimum of the pattern occurs at an angle of 35° from the central maximum.How many bright bands are on each side of the central maximum?

Foundations

Motion in One Dimension

Acceleration

Momentum

Energy

Principle of Relativity

Interactions

Force

Work

Motion in a Plane

Motion in a Circle

Torque

Gravity

Special Relativity

Periodic Motion

Waves in One Dimension

Waves in Two and Three Dimensions

Fluids

Entropy

Energy Transferred Thermally

Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

Ray Optics

Wave and Particle Optics

Filters

If an x-ray beam of wavelength 1.4 × 10^-10 m makes an angle of 30° with a set of planes in a crystal causing first order constructive interference,what is the plane spacing?

The radius of the earth is R. At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s²?

A soap bubble,when illuminated with light of frequency 5.11 × 10¹⁴ Hz,appears to be especially reflective.If it is surrounded by air and if its index of refraction is 1.35,what is the thinnest thickness the soap film can be? (c = 3.00 × 10⁸m/s)

A rock is suspended from a scale reads 20.0 N.A beaker of water (having a density of 1000 kg/m³)is raised up so the rock is totally submerged in the water.The scale now reads 12.5 N.What is the density of the rock?

The magnitude of the magnetic field at point P for a certain electromagnetic wave is 2.12 μT.What is the magnitude of the electric field for that wave at P? (c = 3.0 × 10⁸ m/s)

An electron moving perpendicular to a uniform magnetic field of 3.2 × 10^-2 T moves in a circle of radius 0.40 cm.How fast is this electron moving? (m_el = 9.11 × 10^-31 kg.e = 1.60 × 10^-19C)