WAEC 2023 Physics · Question 47

Increasing the frequency of a sound wave produces a sound with

Options

  1. A.higher pitch
  2. B.longer wavelength
  3. C.more overtones
  4. D.reduced loudness

Answer: A. higher pitch

Explanation written with AI and checked against the answer key

Analyze the question: We are asked what happens to a sound when its frequency increases.

Concept: Pitch is how high or low a sound seems to the ear, and it depends on frequency.

  • Higher frequency gives higher pitch (a shrill sound).
  • Lower frequency gives lower pitch (a deep or bass sound).

Also remember the wave equation:

v = fλ

In a given medium (e.g. air), the speed of sound v is constant. So if f increases, λ = v/f decreases. The wavelength becomes shorter, not longer.

Check each option:

  • A. Higher pitch. Correct. Pitch is the physical sensation of frequency.
  • B. Longer wavelength. Wrong. Since λ = v/f, a higher frequency gives a shorter wavelength.
  • C. More overtones. Wrong. Overtones relate to the quality (timbre) of a sound and the way the source vibrates, not to the frequency of the fundamental alone.
  • D. Reduced loudness. Wrong. Loudness depends on amplitude (intensity), not frequency.

Answer: The correct option is A. higher pitch.

Exam tip: Remember the pairings:

  • Pitch ↔ Frequency
  • Loudness ↔ Amplitude
  • Quality (timbre) ↔ Overtones/waveform

Also, for a fixed medium, frequency and wavelength are inversely related (f ↑ means λ ↓).

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