JAMB Physics 1987 Question 30

Question 30

Sound

The lowest note emitted by a stretched string has a frequency of 40 Hz. How many overtones are there between 40 Hz and 150 Hz?

  1. A.1
  2. B.2
  3. C.3
  4. D.4
Show the answer and explanation

Answer: B (2)

Explanation

A stretched string gives all whole-number multiples of its fundamental: 80 Hz, 120 Hz, 160 Hz… Between 40 Hz and 150 Hz there are two overtones, 80 Hz and 120 Hz.