Wave anatomy diagram showing key terms such as crest, trough, amplitude, wavelength, and equilibrium line with corresponding definitions.
Diagram illustrating wave properties with labeled parts including crest, trough, amplitude, wavelength, equilibrium line, and definitions for terms like frequency and period.
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Step-by-step solution for: Properties of Waves
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Show Answer Key & Explanations
Step-by-step solution for: Properties of Waves
Let's solve this step by step.
We are given a wave diagram and a list of words to use to label parts of the wave and complete definitions. The words are:
Words to use:
- Hertz
- period
- metres
- dip
- seconds
- peak
- wavelength
- trough
- crest
- amplitude
- oscillation
- equilibrium line
---
Looking at the wave diagram:
1. Top of the wave: This is called the crest (or peak – both are synonyms in wave terminology).
2. Bottom of the wave: This is the trough.
3. The horizontal dashed line: This is the equilibrium line (also called the rest position).
4. Distance between two consecutive crests (or troughs): This is the wavelength.
5. Vertical distance from the equilibrium line to the crest (or trough): This is the amplitude.
6. The time it takes for one full wave to pass → period, measured in seconds.
7. Number of waves per second → frequency, measured in Hertz.
Now, let’s fill in the blanks on the diagram:
- Top arrow pointing to the highest point of the wave → crest or peak
- Arrow pointing to the lowest point → trough
- Horizontal arrow across one full wave cycle → wavelength
- Vertical arrow from equilibrium to crest → amplitude
- Dashed horizontal line → equilibrium line
So, filling in the boxes:
```
[wavelength]
↑
[crest] [amplitude]
\ /
\ /
\ /
\ /
|
[equilibrium line]
|
/ \
/ \
/ \
/ \
/ \
[trough]
```
But based on the layout in your image:
- The top horizontal arrow (from crest to crest) → wavelength
- The vertical arrow from equilibrium to crest → amplitude
- The dashed line → equilibrium line
- The lowest point → trough
- The highest point → crest (or peak)
So, the labels should be:
- Top box (horizontal): wavelength
- Right vertical box (from equilibrium to crest): amplitude
- Bottom left box (dashed line): equilibrium line
- Bottom right box (lowest point): trough
- Highest point: crest (but not labeled directly; just implied)
Wait — looking at the actual structure:
From your image description:
- One box above the wave (between two crests) → wavelength
- One box pointing up from equilibrium to crest → amplitude
- One box pointing to the dashed line → equilibrium line
- One box pointing to the bottom of the wave → trough
And possibly the top of the wave is labeled as crest or peak, but it's not boxed.
So likely:
- Leftmost box (pointing to dashed line): equilibrium line
- Rightmost box (pointing to trough): trough
- Top box (horizontal): wavelength
- Middle vertical box (upward arrow): amplitude
So final diagram labels:
- Top horizontal: wavelength
- Vertical arrow (height): amplitude
- Dashed line: equilibrium line
- Lowest point: trough
(Also, the highest point could be labeled crest or peak, but no box is shown there.)
---
Now, fill in the blanks below the diagram:
1. ________ - the top of a wave
→ crest or peak
✔ crest or peak (both acceptable, but "crest" is more commonly used in wave diagrams)
2. ________ - the bottom of a wave
→ trough
3. ________ - the level if the wave flattened out
→ equilibrium line
4. ________ - a repeated action back and forth or up and down
→ oscillation
5. ________ - the number of waves that pass every second (measured in __________)
→ frequency (measured in Hertz)
6. ________ - the time it takes for one complete wave to pass (measured in __________)
→ period (measured in seconds)
---
#### Diagram Labels:
- Top horizontal arrow: wavelength
- Vertical arrow (from equilibrium to crest): amplitude
- Dashed line: equilibrium line
- Lowest point: trough
#### Definitions:
1. crest or peak – the top of a wave
2. trough – the bottom of a wave
3. equilibrium line – the level if the wave flattened out
4. oscillation – a repeated action back and forth or up and down
5. frequency – the number of waves that pass every second (measured in Hertz)
6. period – the time it takes for one complete wave to pass (measured in seconds)
---
- "Peak" and "crest" are interchangeable here.
- "Dip" is not used — it’s less standard than "trough".
- "Metres" is not used in the definitions — it would be the unit for wavelength and amplitude, but not asked here.
- Some words like "dip", "metres" may not be used — which is fine.
✔ All required terms are used appropriately.
Let me know if you want a visual version or need help drawing it!
We are given a wave diagram and a list of words to use to label parts of the wave and complete definitions. The words are:
Words to use:
- Hertz
- period
- metres
- dip
- seconds
- peak
- wavelength
- trough
- crest
- amplitude
- oscillation
- equilibrium line
---
Step 1: Label the Diagram
Looking at the wave diagram:
1. Top of the wave: This is called the crest (or peak – both are synonyms in wave terminology).
2. Bottom of the wave: This is the trough.
3. The horizontal dashed line: This is the equilibrium line (also called the rest position).
4. Distance between two consecutive crests (or troughs): This is the wavelength.
5. Vertical distance from the equilibrium line to the crest (or trough): This is the amplitude.
6. The time it takes for one full wave to pass → period, measured in seconds.
7. Number of waves per second → frequency, measured in Hertz.
Now, let’s fill in the blanks on the diagram:
- Top arrow pointing to the highest point of the wave → crest or peak
- Arrow pointing to the lowest point → trough
- Horizontal arrow across one full wave cycle → wavelength
- Vertical arrow from equilibrium to crest → amplitude
- Dashed horizontal line → equilibrium line
So, filling in the boxes:
```
[wavelength]
↑
[crest] [amplitude]
\ /
\ /
\ /
\ /
|
[equilibrium line]
|
/ \
/ \
/ \
/ \
/ \
[trough]
```
But based on the layout in your image:
- The top horizontal arrow (from crest to crest) → wavelength
- The vertical arrow from equilibrium to crest → amplitude
- The dashed line → equilibrium line
- The lowest point → trough
- The highest point → crest (or peak)
So, the labels should be:
- Top box (horizontal): wavelength
- Right vertical box (from equilibrium to crest): amplitude
- Bottom left box (dashed line): equilibrium line
- Bottom right box (lowest point): trough
- Highest point: crest (but not labeled directly; just implied)
Wait — looking at the actual structure:
From your image description:
- One box above the wave (between two crests) → wavelength
- One box pointing up from equilibrium to crest → amplitude
- One box pointing to the dashed line → equilibrium line
- One box pointing to the bottom of the wave → trough
And possibly the top of the wave is labeled as crest or peak, but it's not boxed.
So likely:
- Leftmost box (pointing to dashed line): equilibrium line
- Rightmost box (pointing to trough): trough
- Top box (horizontal): wavelength
- Middle vertical box (upward arrow): amplitude
So final diagram labels:
- Top horizontal: wavelength
- Vertical arrow (height): amplitude
- Dashed line: equilibrium line
- Lowest point: trough
(Also, the highest point could be labeled crest or peak, but no box is shown there.)
---
Step 2: Complete the Definitions
Now, fill in the blanks below the diagram:
1. ________ - the top of a wave
→ crest or peak
✔ crest or peak (both acceptable, but "crest" is more commonly used in wave diagrams)
2. ________ - the bottom of a wave
→ trough
3. ________ - the level if the wave flattened out
→ equilibrium line
4. ________ - a repeated action back and forth or up and down
→ oscillation
5. ________ - the number of waves that pass every second (measured in __________)
→ frequency (measured in Hertz)
6. ________ - the time it takes for one complete wave to pass (measured in __________)
→ period (measured in seconds)
---
✔ Final Answers:
#### Diagram Labels:
- Top horizontal arrow: wavelength
- Vertical arrow (from equilibrium to crest): amplitude
- Dashed line: equilibrium line
- Lowest point: trough
#### Definitions:
1. crest or peak – the top of a wave
2. trough – the bottom of a wave
3. equilibrium line – the level if the wave flattened out
4. oscillation – a repeated action back and forth or up and down
5. frequency – the number of waves that pass every second (measured in Hertz)
6. period – the time it takes for one complete wave to pass (measured in seconds)
---
🔍 Notes:
- "Peak" and "crest" are interchangeable here.
- "Dip" is not used — it’s less standard than "trough".
- "Metres" is not used in the definitions — it would be the unit for wavelength and amplitude, but not asked here.
- Some words like "dip", "metres" may not be used — which is fine.
✔ All required terms are used appropriately.
Let me know if you want a visual version or need help drawing it!
Parent Tip: Review the logic above to help your child master the concept of properties of waves worksheet.