Question 1

Which of the following best describes the relationship between the period $$T$$, frequency $$f$$, and angular frequency $$\omega of a $$simple harmonic oscillator?

Accepted Answer

$$T = \frac{1}{f}$$ and $$\omega = 2\pi f$$

Question 2

A mass-spring system oscillates with amplitude $$A$$ and angular frequency $$\omega. $$What is the equation for its position as a function of time if it starts at its maximum displacement at $$t=0$$?

Accepted Answer

$$y(t) = A \cos(\omega t)$$

Question 3

Which of the following statements about electromagnetic waves is correct?

Accepted Answer

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

Question 4

Which experiment provided strong evidence for the wave nature of light?

Accepted Answer

Young's double-slit experiment

Question 5

What is the principle of superposition as it applies to waves?

Accepted Answer

When two or more waves overlap, the resulting displacement is the algebraic sum of the individual displacements.

Question 6

A light wave passes through a narrow slit and spreads out. This phenomenon is called:

Accepted Answer

Diffraction

Question 7

For two coherent light sources producing an interference pattern, constructive interference occurs at points where the path length difference is:

Accepted Answer

$$\Delta L = m \lambda$$, where $$m = 0, 1, 2, ...$$

Question 8

Which of the following is NOT a distinguishing feature of waves compared to particles?

Accepted Answer

Waves always travel in straight lines without spreading.

Question 9

The speed $$v of a $$wave is related to its frequency $$f$$ and wavelength $$\lambda by $$which equation?

Accepted Answer

$$v = f \lambda$$

Question 10

In the context of electromagnetic waves, what does Maxwell's addition to Ampère's Law state?

Accepted Answer

A changing electric field produces a magnetic field.

Question 11

A student observes a sharp shadow cast by an object illuminated with light. What does this observation suggest about the wavelength of the light relative to the size of the object?

Accepted Answer

The wavelength is much smaller than the size of the object.

Question 12

Which of the following best explains why radio waves can diffract around buildings while visible light cannot?

Accepted Answer

Radio waves have much longer wavelengths than visible light.

Question 13

In a double-slit experiment, the distance between adjacent bright fringes on the screen increases if:

Accepted Answer

The wavelength of the light is increased.

Question 14

Which Maxwell equation describes how a changing magnetic field induces an electric field?

Accepted Answer

Faraday's Law of Induction

Question 15

A pendulum and a mass-spring system both oscillate with the same amplitude. Which change will increase the frequency of the mass-spring system but not the pendulum?

Accepted Answer

Increasing the spring constant $$k$$

Question 16

Which of the following is a correct statement about the nodes in a standing wave?

Accepted Answer

Nodes are points where the displacement is always zero.

Question 17

A student wants to observe significant diffraction of light through a slit. Which condition must be met?

Accepted Answer

The slit width should be comparable to the wavelength of light.

Question 18

Which of the following best describes the direction of propagation of an electromagnetic wave?

Accepted Answer

It is perpendicular to both the electric and magnetic field vectors.

Question 19

If two waves of equal amplitude and frequency meet in phase, what type of interference occurs and what is the resulting amplitude?

Accepted Answer

Constructive interference; amplitude is doubled

Question 20

A point source emits spherical wave fronts. Far from the source, these wave fronts can be approximated as:

Accepted Answer

Parallel planes

Wave Nature of Light, Periodic Motion, and Oscillations – College Physics II Study Notes

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