Properties of Waves worksheet for learning wave terminology and concepts.

Let's solve each part of this worksheet step by step and explain the reasoning behind each answer.

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1. Complete the following statements:

• Waves transfer ____________ without transferring ____________.
✔ Energy, matter
👉 *Waves transfer energy from one place to another, but they do not carry matter with them. The particles in the medium oscillate but return to their original position.*

• Mechanical waves _________ travel through empty space.
✔ cannot
👉 *Mechanical waves (like sound or water waves) require a medium such as air, water, or solid material to travel. They cannot propagate through a vacuum.*

• Electromagnetic waves ________ travel through empty space.
✔ can
👉 *Electromagnetic waves (like light or radio waves) do not need a medium and can travel through a vacuum—this is why sunlight reaches Earth.*

• Transverse waves move ________________ to the direction of the wave.
✔ perpendicular
👉 *In transverse waves, the disturbance moves at right angles (perpendicular) to the direction the wave travels. Example: waves on a string.*

• Longitudinal waves move ________________ to the direction of the wave.
✔ parallel
👉 *In longitudinal waves, the disturbance moves parallel to the direction of wave propagation. Example: sound waves in air.*

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2. Use words in the box to complete the diagram.

Words available:
Hertz, period, metres, dip, seconds, peak, wavelength, trough, crest, frequency, amplitude, oscillation, equilibrium line

Let’s label the diagram based on standard wave terminology:

- Top of the wave → Crest (or peak)
- Bottom of the wave → Trough
- Horizontal distance between two crests → Wavelength
- Vertical distance from equilibrium to crest → Amplitude
- The dashed center line → Equilibrium line
- Time for one cycle → Period (in seconds)
- Number of cycles per second → Frequency (in Hertz)

Now, match the boxes:

1. Horizontal arrow across one full wave cycle (from crest to next crest) → wavelength
2. Vertical arrow from equilibrium line to crest → amplitude
3. Arrow pointing to the top of the wave → crest (or peak)
4. Arrow pointing to the bottom of the wave → trough
5. Dashed horizontal line → equilibrium line

> Note: The word "dip" is not commonly used; "trough" is correct for the lowest point.

So the labels are:
- Top left: wavelength
- Middle vertical: amplitude
- Top of wave: crest
- Bottom of wave: trough
- Dashed line: equilibrium line

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3. Select which property of a wave is being described in each statement.

Match each description to the correct term from the list:
(Options: crest, trough, frequency, period, amplitude, wavelength, transverse wave, mechanical wave)

Let’s go one by one:

• The top of a wave.
→ crest (or peak)

• The bottom of a wave.
→ trough

• The number of waves that pass in 1 second.
→ frequency (measured in Hertz)

• The time it takes for one wave to pass or complete a cycle.
→ period (measured in seconds)

• The maximum height of a wave from the equilibrium line (rest position).
→ amplitude

• The distance between two consecutive troughs.
→ wavelength (same as distance between two crests or two troughs)

• Waves that travel perpendicular to the energy movement.
→ transverse wave
👉 *In transverse waves, the particle motion is perpendicular to the direction of energy transfer.*

• Waves that require a medium to travel through.
→ mechanical wave
👉 *These include sound, water, and seismic waves—need a medium.*

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✔ Final Answers:

#### 1. Fill in the blanks:
- Waves transfer energy without transferring matter.
- Mechanical waves cannot travel through empty space.
- Electromagnetic waves can travel through empty space.
- Transverse waves move perpendicular to the direction of the wave.
- Longitudinal waves move parallel to the direction of the wave.

#### 2. Diagram Labels:
- Horizontal span (between crests): wavelength
- Vertical height from equilibrium to crest: amplitude
- Top of wave: crest
- Bottom of wave: trough
- Dashed center line: equilibrium line

#### 3. Match Descriptions:
1. The top of a wave. → crest
2. The bottom of a wave. → trough
3. The number of waves that pass in 1 second. → frequency
4. The time it takes for one wave to pass or complete a cycle. → period
5. The maximum height of a wave from the equilibrium line. → amplitude
6. The distance between two consecutive troughs. → wavelength
7. Waves that travel perpendicular to the energy movement. → transverse wave
8. Waves that require a medium to travel through. → mechanical wave

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Let me know if you'd like this formatted as a printable answer key!