Electromagnetic Waves

Help Questions

AP Physics 2 › Electromagnetic Waves

Questions 1 - 10
1

An electromagnetic wave enters glass from vacuum at normal incidence. The oscillating $\vec E$ remains perpendicular to the oscillating $\vec B$. Which quantity must remain the same across the boundary?

The wave’s net charge per unit length.

The wave’s wavelength.

The wave’s frequency.

The wave’s speed.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves maintain their frequency when crossing boundaries between media, while their speed and wavelength change according to the refractive index. The perpendicular relationship between E and B fields is preserved in all media, but this is a property of the wave structure, not a boundary condition. Choice C incorrectly suggests wavelength stays constant—this misconception confuses frequency (which is constant) with wavelength (which changes). Remember that frequency is determined by the source and remains constant across boundaries.

2

A polarized electromagnetic wave travels in vacuum. The electric field oscillates only along $\hat y$, while the magnetic field oscillates only along $\hat z$. Which statement is correct?

The wave is transverse because both fields are perpendicular to the direction of travel.

The wave is longitudinal because the electric field points along the direction of travel.

The wave must be in a medium because polarization cannot occur in vacuum.

The wave transports net charge because the electric field has a single direction.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves are transverse waves because both the electric and magnetic fields oscillate perpendicular to the direction of propagation. With E along ŷ and B along ẑ, both fields are perpendicular to the propagation direction (along x̂), confirming the transverse nature. Choice B incorrectly claims the wave is longitudinal—this misconception confuses EM waves with sound waves or assumes fields must oscillate along the propagation direction. Remember that EM waves are always transverse, with E ⊥ B ⊥ propagation direction.

3

An infrared wave propagates through empty space. The electric field oscillates in one direction perpendicular to travel, and the magnetic field oscillates in a second perpendicular direction. Which statement best describes electromagnetic waves?

They transport net charge because the electric field produces a current in space.

They have electric and magnetic fields that are parallel to each other as they travel.

They cannot travel in vacuum because they must compress and rarefy a medium.

They have perpendicular electric and magnetic fields and do not require a medium.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves consist of electric and magnetic fields that oscillate perpendicular to each other and perpendicular to the direction of propagation. The infrared wave has its electric field oscillating in one direction perpendicular to travel and its magnetic field in a second perpendicular direction, which correctly describes the transverse nature of electromagnetic waves. Choice A incorrectly assumes electromagnetic waves compress and rarefy a medium, confusing them with longitudinal mechanical waves like sound. Electromagnetic waves are self-propagating disturbances that require no material medium because the oscillating fields sustain each other. Remember that all electromagnetic waves can travel through vacuum with perpendicular E and B fields.

4

A plane electromagnetic wave travels in the $+x$ direction through vacuum. The electric field oscillates in the $+z$ direction, and the magnetic field oscillates in the $+y$ direction. Which statement best describes electromagnetic waves?

They cannot propagate in vacuum because fields need a material medium.

They have electric and magnetic fields that are parallel to the direction of travel.

They consist of mutually perpendicular electric and magnetic fields transverse to propagation.

They transport net charge because the magnetic field causes charges to drift forward.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves are characterized by electric and magnetic fields that oscillate perpendicular to each other and perpendicular to the direction of propagation. In this example, the wave travels in +x, the electric field oscillates in +z, and the magnetic field oscillates in +y, demonstrating the three mutually perpendicular directions. Choice A incorrectly assumes electromagnetic waves need a material medium, confusing them with mechanical waves that do require matter for propagation. Electromagnetic waves are self-propagating disturbances that can travel through vacuum because the changing fields sustain each other. To verify an electromagnetic wave, confirm that E, B, and the propagation direction form three mutually perpendicular axes.

5

A radio transmitter in deep space emits a plane electromagnetic wave. At one point, the electric field oscillates in the $+y$ direction while the magnetic field oscillates in the $+z$ direction, both perpendicular to the direction of travel. Which statement best describes this electromagnetic wave?

Its electric and magnetic fields are parallel to each other as it travels.

It transports net electric charge in the direction of propagation.

It can propagate through a vacuum because it does not require a material medium.

It requires a medium because electromagnetic waves are vibrations of matter.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves consist of oscillating electric and magnetic fields that are perpendicular to each other and to the direction of propagation. In this case, with the electric field in the +y direction and magnetic field in the +z direction, the wave must propagate in the +x direction (or -x), forming a self-sustaining wave that requires no material medium. Choice B incorrectly assumes electromagnetic waves need matter to propagate, reflecting the misconception that all waves are mechanical. Unlike sound waves, electromagnetic waves can travel through the vacuum of space because the changing electric field creates a changing magnetic field and vice versa. Remember that electromagnetic waves are transverse waves that can propagate through vacuum, distinguishing them from mechanical waves.

6

A laser beam travels through air as an electromagnetic wave. The electric field oscillates in one transverse direction and the magnetic field oscillates in a different transverse direction, both perpendicular to the beam’s travel. Which statement best describes this wave?

It requires a medium because electromagnetic waves are mechanical disturbances.

Its electric and magnetic fields are parallel, oscillating in the same direction.

Its electric and magnetic fields are perpendicular to each other and to the propagation direction.

It carries net charge because the electric field points away from charges.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves are composed of electric and magnetic fields that oscillate perpendicular to each other and perpendicular to the direction of propagation. The laser beam's electric field oscillates in one transverse direction while the magnetic field oscillates in a different transverse direction, both perpendicular to the beam's travel direction. Choice A incorrectly claims electromagnetic waves are mechanical disturbances requiring a medium, which is a common misconception confusing electromagnetic waves with sound or water waves. Electromagnetic waves are self-propagating disturbances in the electromagnetic field that can travel through vacuum. To identify electromagnetic waves, verify that the electric and magnetic fields are mutually perpendicular and transverse to propagation.

7

An X-ray pulse travels through a vacuum chamber. At a point in space, the electric field oscillates along $+y$ while the magnetic field oscillates along $+z$, each perpendicular to the direction of propagation. Which statement best describes electromagnetic waves?

They carry net electric charge because the electric field oscillates.

They have electric and magnetic fields perpendicular to each other and can propagate in vacuum.

They require a medium because the magnetic field must be produced by nearby moving charges.

They have electric and magnetic fields that remain parallel to maintain constant speed.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves consist of oscillating electric and magnetic fields that are perpendicular to each other and perpendicular to the direction of wave propagation. The X-ray pulse described has its electric field along +y and magnetic field along +z, which are perpendicular to each other and would propagate along ±x direction. Choice A reflects the misconception that electromagnetic waves require moving charges in a medium to propagate, but electromagnetic waves are self-sustaining and can travel through vacuum. The changing electric field induces a changing magnetic field and vice versa, allowing propagation without any material medium. Remember that all electromagnetic waves, from radio to gamma rays, share this perpendicular field configuration and vacuum propagation ability.

8

A visible-light beam travels through empty space. At a given location, the electric field oscillates along $+x$ while the magnetic field oscillates along $+y$, both perpendicular to the direction of travel. Which statement best describes this electromagnetic wave?

It requires air molecules so the oscillations can be passed from particle to particle.

Its electric and magnetic fields are perpendicular to each other and to the direction of travel.

Its electric and magnetic fields must be parallel for energy to be transported.

It carries a net flow of electric charge in the propagation direction.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves consist of electric and magnetic fields that oscillate perpendicular to each other and perpendicular to the direction of propagation. With the electric field along +x and magnetic field along +y, both are perpendicular to each other and must be perpendicular to the propagation direction (which would be along ±z). Choice A incorrectly suggests electromagnetic waves need air molecules to propagate, reflecting the misconception that all waves require a material medium like sound waves. Electromagnetic waves are self-sustaining disturbances in the electromagnetic field that can travel through vacuum. Remember that electromagnetic waves always have mutually perpendicular electric and magnetic fields that are transverse to the propagation direction.

9

A plane electromagnetic wave travels through vacuum. At a point, the electric field points in $+y$ while the magnetic field points in $+z$, and both fields reverse direction periodically. Which statement best describes electromagnetic waves?

They carry net charge because the electric field alternates direction.

They require a medium because the oscillations must be carried by particles.

They have electric and magnetic fields that are perpendicular to each other and transverse.

They have electric and magnetic fields that remain parallel during propagation.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves are characterized by electric and magnetic fields that oscillate perpendicular to each other and perpendicular to the direction of propagation. The electric field pointing in +y and magnetic field in +z are perpendicular to each other, and both reverse direction periodically as they oscillate, which is typical electromagnetic wave behavior. Choice A reflects the misconception that electromagnetic waves need particles to carry oscillations, confusing them with mechanical waves like sound. Electromagnetic waves propagate through vacuum because the changing fields sustain each other without requiring any material medium. To recognize electromagnetic waves, confirm that E and B fields are perpendicular to each other and transverse to propagation.

10

A microwave signal travels through air as an electromagnetic wave. The electric field oscillates vertically while the magnetic field oscillates horizontally, each perpendicular to the direction of propagation. Which statement best describes electromagnetic waves?

They carry net charge because the electric field points in the direction of travel.

They consist of perpendicular electric and magnetic fields and can travel in vacuum.

They require a medium because the fields must be supported by moving charges.

They have electric and magnetic fields that are always parallel to each other.

Explanation

This question tests understanding of electromagnetic waves. Electromagnetic waves are composed of electric and magnetic fields that oscillate perpendicular to each other and perpendicular to the direction of wave propagation. The vertical electric field and horizontal magnetic field described are indeed perpendicular to each other and to the propagation direction, which is a fundamental characteristic of electromagnetic waves. Choice A reflects the common misconception that electromagnetic waves require a medium like mechanical waves do, but electromagnetic waves can propagate through vacuum. The self-sustaining nature of electromagnetic waves allows them to travel through empty space without any material medium. To identify electromagnetic waves, always check that the electric and magnetic fields are perpendicular to each other and transverse to the direction of propagation.

Page 1 of 4