Beat is produced when two waves of nearby frequencies superimpose when they travel in the same path. This causes a periodic variation of intensity of the resultant wave.

The beat frequency is the number of beats produced per second.

Beat Frequency Formula:

The formula for beat frequency is the difference in frequency of the two superimposed waves.

f_b =|f2−f1|

f₁ and f₂ are the frequency of two waves

Beat Frequency Problems

Problem 1: Compute the beat frequency if the two frequencies of waves are  750Hz and 380Hz respectively?

Answer:

Given parameters are,
f₂ = 800Hz and f1 = 400Hz
The beat frequency is given by,
f_b = |f2−f1|
f_b = |800−400|= 400Hz

Problem 2: Compute the beat frequency if the wave frequencies are 550Hz and 1000Hz respectively?

Answer:

Known numerics are,
f₁ = 550Hz and f₂ = 1000Hz
Thus, the beat frequency is articulated by,

f_b =|f2−f1|
f_b= |1000−550|= 450Hz