Question

Two interfering sound waves have frequencies of 223 Hz and 214 Hz. Determine the beat period (in s) of the composite wave. (Hint: first determine the beat frequency.)

Answer 1

The beat period of the composite wave is 0.11 s.

Step-by-step explanation:

Given;

frequency of the first sound wave, F₁ = 223 Hz

frequency of the second sound wave, F₂ = 214 Hz

The beat frequency is given as;

Fb = F₁ - F₂

Fb = 223 Hz - 214 Hz

Fb = 9 Hz

The beat period is given as;

`T_b = (1)/(F_b) \\\\T_b = (1)/(9) \\\\T_b = 0.11 \ s`

Therefore, the beat period of the composite wave is 0.11 s.