The lowest note emitted by a stretched string has a frequency of 40Hz. How many overtones are there between 40Hz and 180Hz _____?

A. 4
B. 3
C. 2
D. 1

Correct Answer:

Option B = 3

Explanation

f₀ = 40Hz
1st overtone = 2f₀ = 80Hz
2nd overtone = 3f₀ = 120Hz
3rd overtone = 4f₀ = 160Hz
4th overtone = 5f₀ = 200Hz
∴ Number of overtones between 40Hz and 180Hz = 3