What do we get when two sound waves of slightly different frequencies interfere with each other?
A. Resonance
B. Beats
C. Standing Waves
D. First Harmonic

Respuesta :

The correct answer for this question is B)Beats

Answer:

B. Beats

Explanation:

When two sound waves of slightly different frequencies are superimposed at a point in the space then the amplitude of resultant wave will change maximum to minimum cyclically with time.

This phenomenon of changing amplitude of sound with time is known as Beats.

So here we will have

[tex]y_1 = A sin(\omega_1 t + kx)[/tex]

[tex]y_2 = A sin(\omega_2 t + kx)[/tex]

now we have

[tex]y = y_1 + y_2[/tex]

[tex]y = A(sin(\omega_1 t + kx) + sin(\omega_2 t + kx))[/tex]

[tex]y = 2Acos(\Delta \omega t)sin(\omega_{avg} t + kx)[/tex]

so this above equation is for the BEATS