Educational worksheet for labeling and understanding wave characteristics, including crests, troughs, amplitude, and wavelength.

Let's go through the "Labeling Waves" worksheet step by step and solve each question with clear explanations.

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1. The highest point on a wave is the ________, while the lowest point is the ________.

- Answer:
The highest point on a wave is the crest, while the lowest point is the trough.

✔ Explanation:
In transverse waves (like water or light waves), the crest is the peak, and the trough is the valley.

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2. The ________ of a wave is a measure of the amount of energy it carries.

- Answer:
The amplitude of a wave is a measure of the amount of energy it carries.

✔ Explanation:
Amplitude refers to the maximum displacement from the rest position. Greater amplitude = more energy.

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3. The distance from one crest to the next crest is the ________.

- Answer:
The distance from one crest to the next crest is the wavelength.

✔ Explanation:
Wavelength (λ) is the length of one complete wave cycle, measured from crest to crest or trough to trough.

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4. The ________ is a measure of the number of waves that pass a point in a given amount of time.

- Answer:
The frequency is a measure of the number of waves that pass a point in a given amount of time.

✔ Explanation:
Frequency is measured in hertz (Hz), which means cycles per second.

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5. Label each part in the space below:

Here’s the wave diagram:

```
a. → ↑ ↑ ← d.
/ \ / \
/ \ / \
/ \ / \
/ \ \
------------------→
b. ↓
c. ↑
```

Let’s label based on standard wave terminology:

- a. → Crest (highest point)
- b. → Trough (lowest point)
- c. → Amplitude (distance from rest position to crest)
- d. → Wavelength (distance from crest to next crest)

✔ Answers:
- a. Crest
- b. Trough
- c. Amplitude
- d. Wavelength

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6. Use the five illustrations of waves...

We have five wave diagrams: P, Q, R, S, T

Let’s analyze them:

- P: Short wavelength, high frequency, medium amplitude
- Q: Same as P but lower amplitude
- R: Long wavelength, low frequency, same amplitude as Q
- S: Changing amplitude, steady frequency
- T: Steady amplitude, changing frequency

Now answer each part:

#### (a) Waves P and Q have the same ___________, but wave P has twice the ___________ of wave Q.

- Answer:
Waves P and Q have the same wavelength (or frequency), but wave P has twice the amplitude of wave Q.

✔ Explanation:
P and Q look identical in spacing (same wavelength/frequency), but P is taller — so greater amplitude.

#### (b) Waves Q and R have the same ___________, but wave R has twice the ___________ of wave Q.

- Answer:
Waves Q and R have the same amplitude, but wave R has twice the wavelength of wave Q.

✔ Explanation:
Q and R are the same height (same amplitude), but R has longer waves → longer wavelength.

> Note: "Twice the wavelength" implies R has half the frequency, since frequency ∝ 1/wavelength.

#### (c) Wave _________ shows a steady frequency but changing amplitude.

- Answer:
Wave S

✔ Explanation:
Wave S has regular spacing (steady frequency) but varying height (changing amplitude).

#### (d) Wave _________ shows steady amplitude but changing frequency.

- Answer:
Wave T

✔ Explanation:
Wave T has constant height (steady amplitude), but the spacing changes → changing frequency.

#### (e) Waves _________ and _________ have a low amplitude and a steady frequency.

- Answer:
Waves Q and R

✔ Explanation:
Both Q and R have smaller amplitude than P, and both show consistent spacing (steady frequency).
(S is not steady in amplitude; T has changing frequency.)

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7. Questions about the diagram on the right (spring wave):

The diagram shows a coiled spring with compressions and rarefactions.

![Spring wave diagram]
```
H ← compression
I ← rarefaction
G ← distance between two compressions
```

#### (a) Is this wave transverse or longitudinal?

- Answer:
This wave is longitudinal.

✔ Explanation:
In longitudinal waves, particles move parallel to the direction of wave motion. In springs, compressions and rarefactions indicate longitudinal motion.

#### (b) Letter H represents a ___________ and letter I represents a ___________.

- Answer:
Letter H represents a compression, and letter I represents a rarefaction.

✔ Explanation:
- Compression = area where coils are close together (high pressure).
- Rarefaction = area where coils are spread apart (low pressure).

#### (c) Letter G represents a ___________.

- Answer:
Letter G represents a wavelength.

✔ Explanation:
G measures the distance from one compression to the next — one full wave cycle in a longitudinal wave.

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✔ Final Answers Summary:

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1. Crest, Trough
2. Amplitude
3. Wavelength
4. Frequency

5.
a. Crest
b. Trough
c. Amplitude
d. Wavelength

6.
(a) Wavelength (or frequency), amplitude
(b) Amplitude, wavelength
(c) S
(d) T
(e) Q and R

7.
(a) Longitudinal
(b) Compression, Rarefaction
(c) Wavelength

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