Waves Worksheet featuring four wave diagrams with questions on wave properties and definitions.

Since the image is not directly visible to me (I can't view images or diagrams), I will guide you through solving this Waves Worksheet based on typical wave diagrams and standard conventions used in such problems. You can apply these steps to your specific diagram.

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🔍 Key Concepts Recap:

- Amplitude: Vertical distance from equilibrium to crest (or trough).
- Wavelength (λ): Horizontal distance of one complete wave cycle (e.g., crest to next crest).
- Frequency (f): Number of cycles per second → measured in Hz.
- Speed (v): $ v = \lambda \times f $
- Time given: 1 second for all waves → so frequency = number of cycles in 1 second.

We’ll assume each wave diagram spans a horizontal length that allows us to measure wavelength, and we’ll estimate values based on common scales. Since no scale is provided in text, you must use the diagram’s grid or spacing to measure in centimeters.

Let’s go step by step for each wave.

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## ✔ Wave 1

Assuming the diagram shows:
- 4 complete wave cycles in 1 second
- Wavelength ≈ 2 cm (from crest to crest)
- Amplitude ≈ 1 cm

a) How many wave cycles?

→ Count the full crests/troughs → 4 cycles

b) Wavelength

→ Measure from crest to next crest → suppose it's 2 cm

c) Amplitude

→ From centerline to crest → suppose it's 1 cm

d) Frequency

→ Cycles per second = 4 → 4 Hz

e) Speed

→ $ v = \lambda \times f = 2\, \text{cm} \times 4\, \text{Hz} = 8\, \text{cm/s} $

> ✔ Answer:
a) 4
b) 2 cm
c) 1 cm
d) 4 Hz
e) 8 cm/s

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## ✔ Wave 2

Assume:
- More compressed waves → higher frequency
- About 8 cycles in 1 second
- Wavelength ≈ 1 cm
- Amplitude ≈ 0.5 cm

a) Wave cycles?

→ Count → 8 cycles

b) Wavelength

→ Distance between crests → 1 cm

c) Amplitude

→ Half height → 0.5 cm

d) Frequency

→ 8 cycles/sec → 8 Hz

e) Speed

→ $ v = 1\, \text{cm} \times 8\, \text{Hz} = 8\, \text{cm/s} $

> ✔ Answer:
a) 8
b) 1 cm
c) 0.5 cm
d) 8 Hz
e) 8 cm/s

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## ✔ Wave 3

Assume:
- Longer, stretched wave → fewer cycles
- Only 2 complete cycles in 1 second
- Wavelength ≈ 4 cm
- Amplitude ≈ 2 cm

a) Wave cycles?

→ 2 cycles

b) Wavelength

→ Distance between crests → 4 cm

c) Amplitude

→ Height from center to crest → 2 cm

d) Frequency

→ 2 cycles/sec → 2 Hz

e) Speed

→ $ v = 4\, \text{cm} \times 2\, \text{Hz} = 8\, \text{cm/s} $

> ✔ Answer:
a) 2
b) 4 cm
c) 2 cm
d) 2 Hz
e) 8 cm/s

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## ✔ Wave 4

Assume:
- Similar to Wave 2 but maybe slightly different
- 7 full cycles in 1 second
- Wavelength ≈ 1.2 cm
- Amplitude ≈ 0.8 cm

a) Wave cycles?

→ 7 cycles

b) Wavelength

→ Measure crest to crest → suppose 1.2 cm

c) Amplitude

→ Height → 0.8 cm

d) Frequency

→ 7 cycles/sec → 7 Hz

e) Speed

→ $ v = 1.2\, \text{cm} \times 7\, \text{Hz} = 8.4\, \text{cm/s} $

> ✔ Answer:
a) 7
b) 1.2 cm
c) 0.8 cm
d) 7 Hz
e) 8.4 cm/s

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🧠 Important Notes:

- The actual numbers depend on how the waves are drawn in your image. Use a ruler to measure:
- Wavelength: distance between two consecutive crests or troughs.
- Amplitude: vertical distance from middle line to top.
- If the horizontal axis has markings (like cm), use them!
- All time durations are 1 second, so frequency = number of cycles.
- Speed = wavelength × frequency → always check units (cm/s).

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🔁 Summary Table:

| Wave | Cycles | Wavelength (cm) | Amplitude (cm) | Frequency (Hz) | Speed (cm/s) |
|------|--------|------------------|----------------|----------------|---------------|
| 1 | 4 | 2 | 1 | 4 | 8 |
| 2 | 8 | 1 | 0.5 | 8 | 8 |
| 3 | 2 | 4 | 2 | 2 | 8 |
| 4 | 7 | ~1.2 | ~0.8 | 7 | ~8.4 |

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✔ Final Tip: Compare your measurements with the above logic. Adjust based on what you see in the diagram — especially wavelengths and amplitudes. If you can describe the spacing or provide measurements, I can refine the answers!

Let me know if you'd like help interpreting a specific part!