WAEC 2022 Physics · Question 3

The periodic rise and fall in the intensity of sound produced whn two notes of nearly equal frequencies are sounded together is called?

Options

  1. A.doppler effect
  2. B.beat
  3. C.interference
  4. D.resonance

Answer: B. beat

Explanation written with AI and checked against the answer key

Step 1: Analyze the question The question describes two sound notes with nearly equal frequencies played together. The result is a periodic rise and fall in loudness (intensity). We need the name of this phenomenon.

Step 2: Explain the concept When two waves of slightly different frequencies, f₁ and f₂, travel together, they alternately reinforce each other (constructive interference) and cancel each other (destructive interference). This produces a regular "waa-waa-waa" pulsing in loudness. Each pulse is called a beat.

The beat frequency is:

f_beat = |f₁ − f₂|

For example, if two tuning forks of 256 Hz and 260 Hz sound together, you hear 4 beats per second.

Step 3: Check each option

  • A. Doppler effect: An apparent change in frequency due to relative motion between source and observer (e.g., an ambulance siren changing pitch as it passes). This is not the case here.
  • B. Beat: The periodic rise and fall in loudness from two nearly equal frequencies. This matches the description.
  • C. Interference: This is the general superposition of waves. It is the underlying cause of beats, but it does not specifically describe the periodic variation in intensity from two close frequencies.
  • D. Resonance: This occurs when an object vibrates at its natural frequency because of an external driving vibration of the same frequency. This is not the case here.

Step 4: Answer The correct option is B. beat.

Exam tip: Whenever you see "two nearly equal frequencies" together with "rise and fall in loudness," think beats. Remember the formula: beat frequency = difference between the two frequencies.

AI can make mistakes. Report anything that looks wrong.

Past questions © the examination body (JAMB/WAEC/NECO). DeeepSolve is not affiliated with them. Rights holders: see /copyright.