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Zorluk: KolayWave Properties and Mathematical Wave Equation

A transverse wave of frequency 15 Hz15\text{ Hz} propagates from a dense medium where its speed is 45 m s−145\text{ m s}^{-1} into a lighter medium where its speed decreases to 30 m s−130\text{ m s}^{-1}. What is the frequency of the wave in the second medium?

  1. A
    10 Hz10\text{ Hz}
  2. 15 Hz15\text{ Hz}Cevap
  3. C
    22.5 Hz22.5\text{ Hz}
  4. D
    2.0 Hz2.0\text{ Hz}

Cevap

The frequency of the wave in the second medium is 15 Hz15\text{ Hz}.
The correct answer is 15 Hz15\text{ Hz} because the frequency of a wave is determined solely by the source that creates it. When a wave passes from one medium into another, its speed and wavelength change proportionally, but the frequency remains constant.

Adım Adım Çözüm

1
Identify the property of a wave that is source-dependent and invariant across boundaries.
The frequency (ff) of a wave is determined entirely by the oscillating source generating the wave.
When a wave crosses the boundary between two different media, its speed (vv) and wavelength (λλ) change due to the properties of the new medium, but its frequency (ff) remains constant.
2
Determine the frequency in the new medium.
fsecond medium=finitial=15 Hzf_{\text{second medium}} = f_{\text{initial}} = 15\text{ Hz}.
Since frequency does not change across medium boundaries, the wave maintains a frequency of 15 Hz15\text{ Hz}.

Anahtar Kavram

Invariance of Wave Frequency Across Media Boundaries
Tahmini Süre:45s
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Konular

Wave Properties and Mathematical Wave Equation

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