Deck 21: Electromagnetic Induction and Faradays Law

Question 1

Choose the one alternative that best completes the statement or answers the question.
Which one of the following types of electromagnetic wave travels through space the fastest?

A) infrared
B) radio waves
C) ultraviolet
D) microwaves
E) They all travel through space at the same speed.

Answer 1

E

Question 2

Choose the one alternative that best completes the statement or answers the question.
The energy density of an electromagnetic wave in free space is

A) 1/4 in the electric field and 3/4 in the magnetic field.
B) equally divided between the magnetic and the electric fields.
C) entirely in the magnetic field.
D) entirely in the electric field.
E) 1/4 in the magnetic field and 3/4 in the electric field.

Answer 2

B

Question 3

Choose the one alternative that best completes the statement or answers the question.
Which one of the following lists gives the correct order of the electromagnetic waves from longer wavelength to shorter wavelength?

A) radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays
B) radio waves, ultraviolet, x-rays, microwaves, infrared, visible, gamma rays
C) radio waves, microwaves, visible, x-rays, infrared, ultraviolet, gamma rays
D) radio waves, infrared, microwaves, ultraviolet, visible, x-rays, gamma rays
E) radio waves, infrared, x-rays, microwaves, ultraviolet, visible, gamma rays

Answer 3

A

Question 4

Choose the one alternative that best completes the statement or answers the question.
Which one of the following is not an electromagnetic wave?

A) infrared
B) radio waves
C) sound waves
D) gamma rays
E) ultraviolet

Question 5

Choose the one alternative that best completes the statement or answers the question.
A certain part of the electromagnetic spectrum ranges from $200 \mathrm {~nm}$ to $400 \mathrm {~nm}$ . What is the lowest frequency associated with this portion of the spectrum? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $7.50 \times 10^{13} \mathrm {~Hz}$
B) $7.50 \times 10^{15} \mathrm {~Hz}$
C) $1.50 \times 10^{15} \mathrm {~Hz}$
D) $1.50 \times 10 ^ { 14 } \mathrm {~Hz}$
E) $7.50 \times 10 ^ { 14 } \mathrm {~Hz}$

Question 6

Choose the one alternative that best completes the statement or answers the question.
The wavelength of an electromagnetic wave is $600 \mathrm {~nm}$ . What is its frequency? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $300 \times 10 ^ { 12 } \mathrm {~Hz}$
B) $600 \times 10 ^ { 12 } \mathrm {~Hz}$
C) $500 \times 10 ^ { 12 } \mathrm {~Hz}$
D) $200 \times 10^{12} \mathrm {~Hz}$
E) $400 \times 10 ^ { 12 } \mathrm {~Hz}$

Question 7

Choose the one alternative that best completes the statement or answers the question.
Which of the following statements about electromagnetic waves in free space are true? (There could be more than one correct choice.)

A) The frequency of the electric field is higher than the frequency of the magnetic field.
B) The electric field carries more energy than the magnetic field.
C) The electric field carries the same mount of energy as the magnetic field.
D) The frequency of the magnetic field is the same as the frequency of the electric field.
E) The electric and magnetic fields have equal amplitudes.

Question 8

Choose the one alternative that best completes the statement or answers the question.
Except for their color, a perfectly black (absorbing) object is identical to a perfectly white (reflecting) object. If identical light falls on both of these objects, what is true about the momentum
They will receive from this light?

A) The white object will receive twice as much as the black object.
B) The black object will receive four times as much as the white object.
C) They will both receive the same amount.
D) The black object will receive twice as much as the white object.
E) The white object will receive four times as much as the black object.

Question 9

Choose the one alternative that best completes the statement or answers the question.
What is the wavelength used by a radio station that broadcasts at a frequency of $920 \mathrm { kH }$ ? $( c = 3.00$ $\times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ )

A) $175 \mathrm {~m}$
B) $22.6 \mathrm {~m}$
C) $226 \mathrm {~m}$
D) $326 \mathrm {~m}$
E) $276 \mathrm {~m}$

Question 10

Choose the one alternative that best completes the statement or answers the question.
In an electromagnetic wave in free space, the electric and magnetic fields are

A) perpendicular to one another and parallel to the direction of wave propagation.
B) perpendicular to one another and perpendicular to the direction of wave propagation.
C) parallel to one another and perpendicular to the direction of wave propagation.
D) parallel to one another and parallel to the direction of wave propagation.

Question 11

Write the word or phrase that best completes each statement or answers the question.
An FM radio station broadcasts at $96.7 \mathrm { MHz }$ . What is the wavelength of the radio wave used for this broadcast? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Question 12

Choose the one alternative that best completes the statement or answers the question.
For an electromagnetic wave in free space having an electric field of amplitude $E$ and a magnetic field of amplitude $B$ , the ratio of $B / E$ is equal to

A) $1 / c$
B) $c$
C) $1 / c ^ { 2 }$
D) $c ^ { 2 }$
E) $\sqrt { c }$

Question 13

Choose the one alternative that best completes the statement or answers the question.
The frequency of a microwave signal is $9.76 \mathrm { GHz }$ . What is its wavelength? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $5.07 \mathrm {~cm}$
B) $3.07 \mathrm {~cm}$
C) $4.07 \mathrm {~cm}$
D) $2.07 \mathrm {~cm}$
E) $1.07 \mathrm {~cm}$

Question 14

Choose the one alternative that best completes the statement or answers the question.
What is the frequency of $20 - \mathrm { mm }$ microwaves? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $15 \mathrm { GHz }$
B) $100 \mathrm { MHz }$
C) $400 \mathrm { MHz }$
D) $73 \mathrm { GHz }$

Question 15

Choose the one alternative that best completes the statement or answers the question.
A certain part of the electromagnetic spectrum ranges from $200 \mathrm {~nm}$ to $400 \mathrm {~nm}$ . What is the highest frequency associated with this portion of the spectrum? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $1.50 \times 10 ^ { 15 } \mathrm {~Hz}$
B) $7.50 \times 10^{13} \mathrm {~Hz}$
C) $1.50 \times 10 ^ { 14 } \mathrm {~Hz}$
D) $7.50 \times 10 ^ { 14 } \mathrm {~Hz}$
E) $7.50 \times 10^{15} \mathrm {~Hz}$

Question 16

Write the word or phrase that best completes each statement or answers the question.
A cordless phone operates at $900 \mathrm { MHz }$ . What is the wavelength of the electromagnetic wave used by this phone? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Question 17

Choose the one alternative that best completes the statement or answers the question.
Which one of the following expressions is the correct representation for the speed of light in vacuum?

A) $1 / \sqrt { \varepsilon _ { 0 } \mu _ { 0 } }$
B) $1 / \varepsilon _ { 0 } \mu _ { 0 }$
C) $\sqrt { \varepsilon _ { 0 } \mu _ { 0 } }$
D) $\sqrt { \varepsilon _ { 0 } / \mu _ { 0 } }$
E) $\sqrt { \mu _ { 0 } / \varepsilon _ { 0 } }$

Question 18

Choose the one alternative that best completes the statement or answers the question.
Two light beams of different frequency but the same intensity fall on a black (totally absorbing) surface, striking perpendicular to the surface. Which of the following statements are true? (There
Could be more than one correct choice.)

A) Painting the surface white would not affect the pressure on it due to these beams.
B) The high-frequency beam exerts more pressure on the surface.
C) Both beams exert the same pressure on the surface.
D) The light beams exert no pressure on the surface because light is just energy.
E) If the surface were painted white (totally reflecting), the pressure on it would be less than when it was black.

Question 19

Choose the one alternative that best completes the statement or answers the question.
Which of the following statements about electromagnetic waves in free space are true? (There could be more than one correct choice.)

A) The higher-frequency travel faster than the lower-frequency waves.
B) The higher-frequency waves have shorter wavelengths than the lower-frequency waves.
C) The wavelengths of the visible waves are some of the shortest electromagnetic waves.
D) The electric field vector is always at right angles to the magnetic field vector.
E) The wavelengths of the visible waves are some of the longest electromagnetic waves.

Question 20

Choose the one alternative that best completes the statement or answers the question.
Which one of the following lists gives the correct order of the electromagnetic spectrum from low to high frequencies?

A) radio waves, infrared, microwaves, ultraviolet, visible, x-rays, gamma rays
B) radio waves, microwaves, visible, x-rays, infrared, ultraviolet, gamma rays
C) radio waves, infrared, x-rays, microwaves, ultraviolet, visible, gamma rays
D) radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays
E) radio waves, ultraviolet, x-rays, microwaves, infrared, visible, gamma rays

Question 21

Choose the one alternative that best completes the statement or answers the question.
A $4.4 \times 10^{14} \mathrm {~Hz}$ laser emits a $2.1 \mu$ s pulse that is $5.0 \mathrm {~mm}$ in diameter. The energy density in the beam is $0.24 \mathrm {~J} / \mathrm { m } ^ { 3 }$ . How many wavelengths are there in the length of the beam? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right.$ , $\mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

A) $2.8 \times 10 ^ { 9 }$
B) $9.2 \times 10 ^ { 9 }$
C) $2.8 \times 10 ^ { 8 }$
D) $9.2 \times 10 ^ { 8 }$
E) $2.8 \times 10 ^ { 10 }$

Question 22

Choose the one alternative that best completes the statement or answers the question.
How long does it take light to travel $1.0 \mathrm {~m}$ ? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $3.3 \mathrm {~ns}$
B) $3.3 \mathrm {~s}$
C) $3.3 \mathrm {~ms}$
D) $3.3 \mu \mathrm { s }$

Question 23

Choose the one alternative that best completes the statement or answers the question.
If the magnetic field in a traveling electromagnetic wave has a maximum value of $16.5 \mathrm { nT }$ , what is the maximum value of the electric field associated with this wave? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $55.0 \times 10 ^ { - 16 } \mathrm {~V} / \mathrm { m }$
B) $4.95 \mathrm {~V} / \mathrm { m }$
C) $55.0 \times 10 ^ { - 15 } \mathrm {~V} / \mathrm { m }$
D) $5.5 \times 10 ^ { - 17 } \mathrm {~V} / \mathrm { m }$
E) $0.495 \mathrm {~V} / \mathrm { m }$

Question 24

Choose the one alternative that best completes the statement or answers the question.
At a particular point and instant, the magnetic field component of an electromagnetic wave is $15.0$ $\mu \mathrm { T }$ . What is the magnetic energy density of this wave at that point and instant? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right.$ , $\mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

A) $2.26 \times 10 ^ { - 4 } \mathrm {~J} / \mathrm { m } ^ { 3 }$
B) $4.47 \times 10 ^ { - 4 } \mathrm {~J} / \mathrm { m } ^ { 3 }$
C) $1.79 \times 10 ^ { - 4 } \mathrm {~J} / \mathrm { m } ^ { 3 }$
D) $8.95 \times 10 ^ { - 5 } \mathrm {~J} / \mathrm { m } ^ { 3 }$
E) $9.72 \times 10 ^ { - 5 } \mathrm {~J} / \mathrm { m } ^ { 3 }$

Question 25

Choose the one alternative that best completes the statement or answers the question.
A radio station broadcasts at a frequency of $80 \mathrm { MHz }$ . How far from the transmitter will this signal travel in $67 \mathrm {~ms}$ ? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $80 \mathrm {~km}$
B) $20 \times 10 ^ { 6 } \mathrm {~m}$
C) $40 \mathrm {~km}$
D) $60 \times 10 ^ { 6 } \mathrm {~m}$
E) $67 \mathrm {~m}$

Question 26

Choose the one alternative that best completes the statement or answers the question.
The amplitude of the electric field for a certain type of electromagnetic wave is $570 \mathrm {~N} / \mathrm { C }$ . What is the amplitude of the magnetic field for that wave? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $2.91 \mu \mathrm { T }$
B) $2.41 \mu T$
C) $1.41 \mu \mathrm { T }$
D) $1.10 \mu \mathrm { T }$
E) $1.90 \mu T$

Question 27

Choose the one alternative that best completes the statement or answers the question.
A radar receiver indicates that a pulse return as an echo in $20 \mu \mathrm { s }$ after it was sent. How far away is the reflecting object? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $6.0 \mathrm {~km}$
B) $9.0 \mathrm {~km}$
C) $3.0 \mathrm {~km}$
D) $1.5 \mathrm {~km}$

Question 28

Choose the one alternative that best completes the statement or answers the question.
The maximum magnetic energy density of a sinusoidal electromagnetic wave is $8.95 \times 10 ^ { - 5 } \mathrm {~J} / \mathrm { m } ^ { 3 }$ . What is the amplitude of the magnetic field component of this wave? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times \right.$ $10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

A) $12.0 \mu \mathrm { T }$
B) $13.0 \mu \mathrm { T }$
C) $14.0 \mu \mathrm { T }$
D) $16.0 \mu \mathrm { T }$
E) $15.0 \mu \mathrm { T }$

Question 29

Choose the one alternative that best completes the statement or answers the question.
A sinusoidal electromagnetic wave has a peak electric field of $8.00 \mathrm { kV } / \mathrm { m }$ . What is the intensity of the wave? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)$

A) $170 \mathrm {~kW} / \mathrm { m } ^ { 2 }$
B) $11 \mathrm {~kW} / \mathrm { m } ^ { 2 }$
C) $85 \mathrm {~kW} / \mathrm { m } ^ { 2 }$
D) $21 \mathrm {~kW} / \mathrm { m } ^ { 2 }$

Question 30

Choose the one alternative that best completes the statement or answers the question.
How far does a beam of light travel through space in one 365 -day year? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $80 \times 10 ^ { 12 } \mathrm {~m}$
B) $20 \times 1015 \mathrm {~m}$
C) $95 \times 10 ^ { 14 } \mathrm {~m}$
D) $30 \times 10 ^ { 8 } \mathrm {~m}$
E) $36 \times 10 ^ { 16 } \mathrm {~m}$

Question 31

Choose the one alternative that best completes the statement or answers the question.
A radio station broadcasts at $80 \mathrm { MHz }$ . How long does it take for this radio signal to travel a distance of $2.0 \times 10 ^ { 7 } \mathrm {~m}$ through space? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $25 \mathrm {~ms}$
B) $20 \mathrm {~ms}$
C) $15 \mathrm {~ms}$
D) $6.7 \times 10 ^ { - 2 } \mathrm {~s}$
E) $0.15 \times 10 ^ { - 2 } \mathrm {~s}$

Question 32

Choose the one alternative that best completes the statement or answers the question.
The distance between two asteroids is $1600 \mathrm {~km}$ . How much time does it take for a light signal to go from one asteroid to the other? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $5.3 \mathrm {~ms}$
B) $19 \mathrm {~ms}$
C) $4.5 \mathrm {~ms}$
D) $19 \mu \mathrm { s }$
E) $13 \mathrm {~ms}$

Question 33

Choose the one alternative that best completes the statement or answers the question.
How far does a beam of light travel in $2.0 \mathrm {~ms}$ ? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $0.66 \times 10 ^ { 5 } \mathrm {~m}$
B) $6.0 \times 10 ^ { 5 } \mathrm {~m}$
C) $60 \mathrm {~m}$
D) $90 \mathrm {~m}$
E) $70 \mathrm {~m}$

Question 34

Choose the one alternative that best completes the statement or answers the question.
The maximum value of the electric field in an electromagnetic wave is $2.0 \mathrm {~V} / \mathrm { m }$ . What is the maximum value of the magnetic field in that wave? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $6.7 \mathrm {~T}$
B) $6.7 \mu T$
C) $6.7 \mathrm { nT }$
D) $6.7 \mathrm { pT }$
E) $6.7 \mathrm { mT }$

Question 35

Choose the one alternative that best completes the statement or answers the question.
A $2.4 \times 10 ^ { 14 } \mathrm {~Hz}$ laser emits a $3.5 - \mu$ s pulse that is $5.0 \mathrm {~mm}$ in diameter. The average energy density in the beam is $0.65 \mathrm {~J} / \mathrm { m } ^ { 3 }$ . What average power is emitted by this laser? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times \right.$ $10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

A) $15 \mathrm {~kW}$
B) $7.7 \mathrm {~kW}$
C) $3.8 \mathrm {~kW}$
D) $12 \mathrm {~kW}$
E) $19 \mathrm {~kW}$

Question 36

Choose the one alternative that best completes the statement or answers the question.
A laser beam takes 24 ms to travel from a rocket to the reflective surface of a planet and back to the rocket. How far is the rocket from this planet's surface? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $1200 \mathrm {~km}$
B) $3600 \mathrm {~km}$
C) $4800 \mathrm {~km}$
D) $1800 \mathrm {~km}$
E) $2400 \mathrm {~km}$

Question 37

Choose the one alternative that best completes the statement or answers the question.
How far does light travel in $1.0 \mu \mathrm { s }$ ? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $0.30 \mathrm {~km}$
B) $3.0 \times 10 ^ { 14 } \mathrm {~m}$
C) $3.0 \mathrm {~m}$
D) $30 \mathrm {~cm}$

Question 38

Choose the one alternative that best completes the statement or answers the question.
A certain electromagnetic field traveling in vacuum has a maximum electric field of $1200 \mathrm {~V} / \mathrm { m }$ . What is the maximum magnetic field of this wave? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $9.6 \times 10 ^ { - 6 } \mathrm {~T}$
B) $8.7 \times 10 ^ { - 6 } \mathrm {~T}$
C) $2.2 \times 10 ^ { - 5 } \mathrm {~T}$
D) $3.4 \times 10 ^ { - 4 } \mathrm {~T}$
E) $4.0 \times 10 ^ { - 6 } \mathrm {~T}$

Question 39

Choose the one alternative that best completes the statement or answers the question.
About $1350 \mathrm {~W} / \mathrm { m } ^ { 2 }$ of electromagnetic energy reaches the upper atmosphere of the earth from the sun, which is $1.5 \times 10 ^ { 11 } \mathrm {~m}$ away. Use this information to estimate the average power output of the sun.

A) $1 \times 10 ^ { 26 } \mathrm {~W}$
B) $3 \times 10 ^ { 26 } \mathrm {~W}$
C) $2 \times 10 ^ { 26 } \mathrm {~W}$
D) $4 \times 10 ^ { 26 } \mathrm {~W}$

Question 40

Choose the one alternative that best completes the statement or answers the question.
A $7.55 \times 10 ^ { 14 } \mathrm {~Hz}$ electromagnetic wave travels in carbon tetrachloride with a speed of $2.05 \times 10 ^ { 8 }$ $\mathrm { m } / \mathrm { s }$ . What is the wavelength of the wave in this material?

A) $397 \mathrm {~nm}$
B) $272 \mathrm {~nm}$
C) $301 \mathrm {~nm}$
D) $338 \mathrm {~nm}$
E) $361 \mathrm {~nm}$

Question 41

Choose the one alternative that best completes the statement or answers the question.
An 8.0-mW laser beam emits a cylindrical beam of single-wavelength sinusoidal light $0.90 \mathrm {~mm}$ in diameter. What is the rms value of the electric field in this laser beam? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \right.$ . $\left. \mathrm { m } ^ { 2 } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $1100 \mathrm {~N} / \mathrm { C }$
B) $2000 \mathrm {~N} / \mathrm { C }$
C) $2200 \mathrm {~N} / \mathrm { C }$
D) $1000 \mathrm {~N} / \mathrm { C }$
E) $4100 \mathrm {~N} / \mathrm { C }$

Question 42

Choose the one alternative that best completes the statement or answers the question.
A light source radiates $60.0 \mathrm {~W}$ of single-wavelength sinusoidal light uniformly in all directions. What is the average intensity of the light from this bulb at a distance of $0.400 \mathrm {~m}$ from the bulb?

A) $11.9 \mathrm {~W} / \mathrm { m } ^ { 2 }$
B) $29.8 \mathrm {~W} / \mathrm { m } ^ { 2 }$
C) $27.4 \mathrm {~W} / \mathrm { m } ^ { 2 }$
D) $14.9 \mathrm {~W} / \mathrm { m } ^ { 2 }$
E) $37.2 \mathrm {~W} / \mathrm { m } ^ { 2 }$

Question 43

Choose the one alternative that best completes the statement or answers the question.
Radiation of a single frequency reaches the upper atmosphere of the earth with an intensity of $1350 \mathrm {~W} / \mathrm { m } ^ { 2 }$ . What is the maximum value of the electric field associated with this radiation? $( c =$ $3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

A) $1400 \mathrm {~V} / \mathrm { m }$
B) $675.0 \mathrm {~V} / \mathrm { m }$
C) $1350 \mathrm {~V} / \mathrm { m }$
D) $1604 \mathrm {~V} / \mathrm { m }$
E) $1010 \mathrm {~V} / \mathrm { m }$

Question 44

Choose the one alternative that best completes the statement or answers the question.
A radiometer has two square vanes $( 1.0 \mathrm {~cm}$ by $1.0 \mathrm {~cm} )$ , attached to a light horizontal cross arm, and pivoted about a vertical axis through the center, as shown in the figure. The center of each vane is $6.0 \mathrm {~cm}$ from the axis. One vane is silvered and it reflects all radiant energy incident upon it. The other vane is blackened and it absorbs all incident radiant energy. Radiant energy, having an intensity of $300 \mathrm {~W} / \mathrm { m } ^ { 2 }$ , is incident normally upon the vanes. What is the radiation pressure on the blackened vane? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)$

A) $1.0 \times 10 ^ { - 10 } \mathrm {~Pa}$
B) $1.0 \times 10 ^ { - 7 } \mathrm {~Pa}$
C) $1.0 \times 10 ^ { - 8 } \mathrm {~Pa}$
D) $1.0 \times 10 ^ { - 6 } \mathrm {~Pa}$
E) $1.0 \times 10 ^ { - 9 } \mathrm {~Pa}$

Question 45

Choose the one alternative that best completes the statement or answers the question.
A radiometer has two square vanes $( 1.0 \mathrm {~cm}$ by $1.0 \mathrm {~cm} )$ , attached to a light horizontal cross arm, and pivoted about a vertical axis through the center, as shown in the figure. The center of each vane is $6.0 \mathrm {~cm}$ from the axis. One vane is silvered and it reflects all radiant energy incident upon it. The other vane is blackened and it absorbs all incident radiant energy. Radiant energy, having an intensity of $300 \mathrm {~W} / \mathrm { m } ^ { 2 }$ , is incident normally upon the front of both vanes. What is the net torque on the vane assembly, about the vertical axis? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times \right.$ $10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

A) $0.0 \mathrm {~N} \cdot \mathrm { m }$
B) $1.2 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m }$
C) $1.8 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m }$
D) $2.4 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m }$
E) $6.0 \times 10 ^ { - 12 } \mathrm {~N} \cdot \mathrm { m }$

Question 46

Choose the one alternative that best completes the statement or answers the question.
An $800 - \mathrm { kHz }$ sinusoidal radio signal is detected at a point $6.6 \mathrm {~km}$ from the transmitter tower. The electric field amplitude of the signal at that point is $0.780 \mathrm {~V} / \mathrm { m }$ . Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed. What is the amplitude of the magnetic field of the signal at that point? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \right.$ $\mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A }$ )

A) $2.6 \mathrm { nT }$
B) $3.1 \mathrm { nT }$
C) $3.6 \mathrm { nT }$
D) $1.6 \mathrm { nT }$
E) $2.1 \mathrm { nT }$

Question 47

Choose the one alternative that best completes the statement or answers the question.
Light with an average intensity of $683 \mathrm {~W} / \mathrm { m } ^ { 2 }$ falls on a black surface and is completely absorbed. What is the radiation pressure that the light exerts on this surface if it strikes perpendicular to the surface? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $205,000 \mathrm {~N} / \mathrm { m } ^ { 2 }$
B) $4550 \mathrm { nN } / \mathrm { m } ^ { 2 }$
C) $1140 \mathrm { nN } / \mathrm { m } ^ { 2 }$
D) $2280 \mathrm { nN } / \mathrm { m } ^ { 2 }$

Question 48

Choose the one alternative that best completes the statement or answers the question.
If the average intensity of the sunlight in Miami, Florida, is $1060 \mathrm {~W} / \mathrm { m } ^ { 2 }$ , what is the average magnitude of the force this light exerts on a $16 - m ^ { 2 }$ surface of black asphalt that totally absorbs the light? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $0.204 \times 10 ^ { - 5 } \mathrm {~N}$
B) $1.63 \times 10 ^ { - 5 } \mathrm {~N} / \mathrm { m } ^ { 2 }$
C) $5.65 \times 10 ^ { - 5 } \mathrm {~N}$
D) $7.83 \times 10 ^ { - 5 } \mathrm {~N}$
E) $2.61 \times 10 ^ { - 5 } \mathrm {~N}$

Question 49

Choose the one alternative that best completes the statement or answers the question.
How much energy is transported across a $1.00 - \mathrm { cm } ^ { 2 }$ area per hour by a sinusoidal electromagnetic wave whose electric field has a maximum strength of $30.4 \mathrm {~V} / \mathrm { m }$ ? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } 2 / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = \right.$ $\left. 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $0.44 \mathrm {~J}$
B) $0.44 \mu \mathrm { J }$
C) $0.44 \mathrm {~mJ}$
D) $0.44 \mathrm {~nJ}$

Question 50

Write the word or phrase that best completes each statement or answers the question.
The total electromagnetic power emitted by the sun is $3.8 \times 10 ^ { 26 } \mathrm {~W}$ . What is the radiation pressure it exerts on the perfectly absorbing surface of a satellite near the orbit of Mercury, which is $5.8 \times 10 ^ { 10 } \mathrm {~m}$ from the sun? The radiation strikes the surface of the satellite perpendicular to the surface. $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Question 51

Choose the one alternative that best completes the statement or answers the question.
What is the maximum value of the magnetic field at a distance of $2.5 \mathrm {~m}$ from a light bulb that radiates $100 \mathrm {~W}$ of single-frequency sinusoidal electromagnetic waves uniformly in all directions? ( $\left. \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $0.80 \mu \mathrm { T }$
B) $0.40 \mu \mathrm { T }$
C) $0.10 \mu \mathrm { T }$
D) $0.50 \mu \mathrm { T }$
E) $0.60 \mu \mathrm { T }$

Question 52

Choose the one alternative that best completes the statement or answers the question.
A light source radiates $60.0 \mathrm {~W}$ of single-wavelength sinusoidal light uniformly in all directions. What is the amplitude of the electric field of this light at a distance of $0.400 \mathrm {~m}$ from the bulb? $\left( \varepsilon _ { 0 } = \right.$ $\left. 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $52.9 \mathrm {~N} / \mathrm { C }$
B) $212 \mathrm {~N} / \mathrm { C }$
C) $162 \mathrm {~N} / \mathrm { C }$
D) $150 \mathrm {~N} / \mathrm { C }$
E) $82.1 \mathrm {~N} / \mathrm { C }$

Question 53

Choose the one alternative that best completes the statement or answers the question.
If the average intensity of the sunlight in Miami, Florida, is $1040 \mathrm {~W} / \mathrm { m } ^ { 2 }$ , what is the average value of the radiation pressure due to this sunlight on a black totally absorbing asphalt surface in Miami?
$$\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$$

A) $7.83 \times 10 ^ { - 6 } \mathrm {~N}$
B) $9.78 \times 10 ^ { - 6 } \mathrm {~N} / \mathrm { m } ^ { 2 }$
C) $1.63 \times 10 ^ { - 6 } \mathrm {~N} / \mathrm { m } ^ { 2 }$
D) $3.47 \times 10 ^ { - 6 } \mathrm {~N} / \mathrm { m } ^ { 2 }$
E) $2.28 \times 10 ^ { - 6 } \mathrm {~N} / \mathrm { m } ^ { 2 }$

Question 54

Write the word or phrase that best completes each statement or answers the question.
The intensity of solar radiation near the earth is $1.4 \mathrm {~kW} / \mathrm { m } ^ { 2 }$ . What magnitude force does this radiation exert when it strikes at right angles to a $5.0 - \mathrm { m } ^ { 2 }$ perfectly reflecting solar panel of an artificial satellite orbiting the earth? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Question 55

Choose the one alternative that best completes the statement or answers the question.
An 8.00-mW laser beam emits a cylindrical beam of single-wavelength sinusoidal light $0.600 \mathrm {~mm}$ in diameter. What is the maximum value of the magnetic field in the laser beam? $\left( \varepsilon _ { 0 } = 8.85 \times \right.$ $\left. 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $20.5 \mu \mathrm { T }$
B) $17.2 \mu \mathrm { T }$
C) $15.4 \mu \mathrm { T }$
D) $12.4 \mu \mathrm { T }$
E) $9.24 \mu T$

Question 56

Choose the one alternative that best completes the statement or answers the question.
A radio transmitter is operating at an average power of $4.00 \mathrm {~kW}$ and is radiating uniformly in all directions. What is the average intensity of the signal $8.00 \mathrm {~km}$ from the transmitter?

A) $2.49 \mu \mathrm { W } / \mathrm { m } ^ { 2 }$
B) $0.00497 \mathrm {~W} / \mathrm { m } ^ { 2 }$
C) $0.00249 \mathrm {~W} / \mathrm { m } ^ { 2 }$
D) $4.97 \mu \mathrm { W } / \mathrm { m } ^ { 2 }$

Question 57

Choose the one alternative that best completes the statement or answers the question.
The rate of energy flow per unit area of a sinusoidal electromagnetic wave has an average value of $0.601 \mathrm {~W} / \mathrm { m } ^ { 2 }$ . What is the maximum value of the magnetic field in the wave? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } \right.$ $= 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

A) $7.09 \times 10 ^ { - 8 } \mathrm {~T}$
B) $9.81 \times 10 ^ { - 8 } \mathrm {~T}$
C) $5.02 \times 10 ^ { - 8 } \mathrm {~T}$
D) $3.55 \times 10 ^ { - 8 } \mathrm {~T}$
E) $1.42 \times 10 ^ { - 7 } \mathrm {~T}$

Question 58

Choose the one alternative that best completes the statement or answers the question.
An 800-kHz sinusoidal radio signal is detected at a point $2.1 \mathrm {~km}$ distant from a transmitter tower. The electric field amplitude of the signal at that point is $0.80 \mathrm {~V} / \mathrm { m }$ . Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed. What is the intensity of the radio signal at that point? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = \right.$ $\left. 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $6.0 \times 10 ^ { - 4 } \mathrm {~W} / \mathrm { m } ^ { 2 }$
B) $4.2 \times 10 ^ { - 4 } \mathrm {~W} / \mathrm { m } ^ { 2 }$
C) $1.7 \times 10 ^ { - 3 } \mathrm {~W} / \mathrm { m } ^ { 2 }$
D) $1.2 \times 10 ^ { - 3 } \mathrm {~W} / \mathrm { m } ^ { 2 }$
E) $8.5 \times 10 ^ { - 4 } \mathrm {~W} / \mathrm { m } ^ { 2 }$

Question 59

Choose the one alternative that best completes the statement or answers the question.
The rate of energy flow per unit area of an electromagnetic wave has an average value of $0.695$ $\mathrm { W } / \mathrm { m } ^ { 2 }$ . The wave is incident at right angles upon a rectangular area measuring $1.5 \mathrm {~m}$ by $2.0 \mathrm {~m}$ .
How much total energy falls upon this rectangle each minute? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } 2 / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = 4 \right.$ $\pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ )

A) $250 \mathrm {~J}$
B) $160 \mathrm {~J}$
C) $130 \mathrm {~J}$
D) $220 \mathrm {~J}$
E) $190 \mathrm {~J}$

Question 60

Choose the one alternative that best completes the statement or answers the question.
A light source radiates $60.0 \mathrm {~W}$ of single-wavelength sinusoidal light uniformly in all directions. What is the amplitude of the magnetic field of this light at a distance of $0.700 \mathrm {~m}$ from the bulb? $\left( \varepsilon _ { 0 } \right.$ $\left. = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $2.86 \times 10 ^ { - 7 } \mathrm {~T}$
B) $1.76 \times 10 ^ { - 7 } \mathrm {~T}$
C) $2.02 \times 10 ^ { - 7 } \mathrm {~T}$
D) $2.22 \times 10 ^ { - 7 } \mathrm {~T}$