Question 1

Which of the following best describes a mechanical wave?

Accepted Answer

A disturbance that travels through a medium, carrying energy without transporting matter.

Question 2

Earthquake waves and tsunamis are examples of mechanical waves. What distinguishes them from sound waves or the vibration of piano strings?

Accepted Answer

They carry much more energy as they travel through the Earth or water.

Question 3

A mass attached to a spring undergoes simple harmonic motion, generating a sinusoidal wave on a string. What is the amplitude of the wave?

Accepted Answer

It is equal to the amplitude of the mass's motion.

Question 4

Which equation correctly relates the wave speed $$v$$, wavelength $$\lambda$$, and frequency $$f of a $$periodic wave?

Accepted Answer

$$v = f \lambda$$

Question 5

A series of drops falling into water produces concentric circular wave crests and troughs. What is the wavelength $$\lambda in $$this scenario?

Accepted Answer

$$\lambda is $$the radial distance between adjacent crests or adjacent troughs.

Question 6

Which of the following is NOT a type of mechanical wave?

Accepted Answer

Electromagnetic waves (light)

Question 7

If a wave travels along a string with a speed $$v = 8.0\ \mathrm{m/s}$$ and a wavelength $$\lambda = 0.32\ \mathrm{m}$$, what is its frequency?

Accepted Answer

$$f = 25\ \mathrm{Hz}$$

Question 8

Which statement about the energy carried by mechanical waves is correct?

Accepted Answer

Mechanical waves carry energy from place to place without a bulk flow of matter.

Question 9

A mass attached to a spring generates a sinusoidal wave on a string. If the amplitude of the mass's motion is $$A$$, what is the maximum displacement of a particle in the string?

Accepted Answer

$$A$$

Question 10

Which of the following best explains why overlapping waves can interfere?

Accepted Answer

The principle of superposition allows the amplitudes of overlapping waves to add algebraically.

Question 11

A periodic transverse wave travels along a string. If the crest moves a distance $$L in $$time $$t$$, what is the wave speed?

Accepted Answer

$$v = L / t$$

Question 12

Which real-world phenomenon is an example of a mechanical wave carrying enormous energy?

Accepted Answer

Earthquake waves

Question 13

In the context of mechanical waves, what is the main difference between transverse and longitudinal waves?

Accepted Answer

Transverse waves have particle displacement perpendicular to the direction of wave propagation, while longitudinal waves have displacement parallel to the direction of propagation.

Question 14

A periodic wave spreads radially outward from a point source in water. What is the shape of the wave crests and troughs?

Accepted Answer

Concentric circles

Question 15

If the amplitude of a sinusoidal wave on a string is doubled, what happens to the energy carried by the wave?

Accepted Answer

The energy increases by a factor of four.

Question 16

Which of the following is a correct statement about the motion of particles in a string undergoing a sinusoidal transverse wave?

Accepted Answer

Each particle moves in simple harmonic motion with the same amplitude as the wave.

Question 17

Which parameter is NOT necessary to fully describe a periodic wave?

Accepted Answer

Temperature of the medium

Question 18

A wave travels along a string. If the frequency is $$f = 60\ \mathrm{Hz}$$ and the wave speed is $$v = 12\ \mathrm{m/s}$$, what is the wavelength?

Accepted Answer

$$\lambda = 0.20\ \mathrm{m}$$

Question 19

Which of the following statements about the principle of superposition is correct?

Accepted Answer

The net displacement at any point is the sum of the displacements due to each individual wave.

Mechanical Waves and Wave Equation: Fundamentals and Types

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