Properties of Waves Study Notes

Properties of Waves

Understanding Main Ideas

• A figure illustrates the behavior of waves, including different points labeled A, B, C, and D.

Questions and Answers:

1. Frequency Calculation:

   • In the diagram, four complete waves pass a stationary duck in one second.
   • Frequency (f) is defined as the number of complete waves passing a point in one second and is measured in Hertz (Hz).
   • Calculation:
     • Four complete waves in one second = 4 Hz
   • Correct answer: c. 4 Hz

2. Wavelength Calculation:

   • Given that the wave travels at a speed of 16 cm/s, we are asked to determine its wavelength.
   • The formula to calculate wavelength ($\lambda$) using speed ($v$) and frequency ($f$) is:
     • $v = f \cdot \lambda$
   • Rearranging gives:
     • $\lambda = \frac{v}{f}$
   • For this wave:
     • $\lambda = \frac{16 \text{ cm/s}}{4 \text{ Hz}} = 4 \text{ cm}$
   • Correct answer: d. 4 cm

3. Wave Speed Calculation:

   • If the wavelength of the wave is given as 2 cm, we can calculate its speed using the frequency determined earlier.
   • Using the same formula from question 2:
     • $f = 4 \text{ Hz}$
     • Therefore, speed ($v$) is calculated as follows:
     • $v = f \cdot \lambda = 4 \text{ Hz} \cdot 2 \text{ cm} = 8 \text{ cm/s}$
   • Correct answer: d. 8 cm/s

Building Vocabulary

• Fill in the blank statements based on the figure

1. The letter A in the figure above represents the crest of the wave.
2. The letter B in the figure above represents the trough of the wave.
3. The letter C in the figure above represents a(n) amplitude of the wave.
4. The letter D in the figure above represents a(n) wavelength of the wave.