NECO 2004 Physics · Question 4

A note, A from a guitar produces a wave of amplitude 4 mm and frequency 1000 Hz. Another note, B from a…

Question

A note, A from a guitar produces a wave of amplitude 4 mm and frequency 1000 Hz. Another note, B from a whistle produces a similar waveform of amplitude 2 mm and frequency 2200 Hz. If the two notes are compared,

  1. A.A has a higher pitch than B
  2. B.A is louder than B.
  3. C.B has a greater speed than A
  4. D.B is louder than A
  5. E.A and B have the same quality

Answer: B. A is louder than B.

Explanation written with AI and checked against the answer key

Analyze the question: Two notes are compared using amplitude and frequency. We must connect these to the properties of sound.

Concept:

  • Loudness (intensity) depends on amplitude. A larger amplitude gives a louder sound.
  • Pitch depends on frequency. A higher frequency gives a higher pitch.
  • Quality (timbre) depends on the waveform and harmonics. Different instruments produce different quality.
  • Speed of sound depends on the medium, not on the source or frequency.

Solution:

| | Note A (guitar) | Note B (whistle) | |---|---|---| | Amplitude | 4 mm | 2 mm | | Frequency | 1000 Hz | 2200 Hz |

Checking each option:

  • A. A has a higher pitch than B. False. B has the higher frequency (2200 Hz > 1000 Hz), so B has the higher pitch.
  • B. A is louder than B. True. A has the larger amplitude (4 mm > 2 mm), so A is louder.
  • C. B has a greater speed than A. False. Both travel through air at the same speed. Also, v = fλ, and the higher frequency of B just means a shorter wavelength.
  • D. B is louder than A. False. This is the reverse of the correct statement.
  • E. A and B have the same quality. False. A guitar and a whistle are different instruments and produce different quality. The question says only "similar" waveform, which is not the same as identical quality.

Tip: Remember the pairs: Amplitude → Loudness, Frequency → Pitch, Waveform → Quality. Speed depends only on the medium. Match each to its property and these questions become quick.

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