Wavelength is directly proportional to frequency and indirectly proportional to propagation speed. True False

Statement Analysis

1. Understanding Wavelength: Wavelength ($\lambda$) is the distance between successive peaks of a wave.
2. Frequency Concepts: Frequency ($f$) is the number of cycles (or waves) that pass a point per unit time (usually per second).
3. Propagation Speed: The speed at which a wave travels through a medium is referred to as propagation speed ($v$).

Relationship Between Wavelength, Frequency, and Speed

• The relationship between these variables is defined by the formula: $v = f \cdot \lambda$ Where:
  • $v$ = propagation speed
  • $f$ = frequency
  • $\lambda$ = wavelength

Analysis of the Statement

• Wavelength is directly proportional to frequency: This part is False because an increase in frequency ($f$) results in a decrease in wavelength ($\lambda$) when speed ($v$) is constant.
• Wavelength is indirectly proportional to propagation speed: This is also False because, for a constant frequency, a higher speed would imply a longer wavelength.

Conclusion

Both parts of the statement are incorrect. Therefore, the answer is False.