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Question bank: Waves: Beats

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Question 1:

Very Easy

Two tuning forks, A and B, emit sound waves with frequencies of 300 Hz and 306 Hz, respectively. They are brought close to each other so that their waves add up. Determine the frequency of the resulting beat from the interference between the waves emitted by A and B.
Waves: Beats
Question 2:

Easy

When designing a new soundtrack for a virtual reality game, a group of developers wants to create an immersive auditory experience that explores the phenomena of sound beating. To achieve this, they plan to use two sound sources that emit frequencies that, when overlapped, create a beating pattern that they want to impress the players with. The frequency of the first source is 440 Hz, corresponding to an A note, and the frequency of the second source needs to be chosen in a way that the resulting beating has a frequency of 4 Hz. Considering that the beating is perceived as the regular variation of sound intensity and that the speed of sound in the air is approximately 343 m/s, what should be the frequency of the second sound source to meet the developers' specifications?
Waves: Beats
Question 3:

Medium

João and Maria are in an experimental physics laboratory studying the phenomenon of sound beats. They use two tuning forks with close frequencies, the first tuning fork producing a frequency of 340 Hz and the second one producing a frequency of 346 Hz. (a) Determine the beat frequency between them. (b) Explain what happens to the amplitude of the resulting sound waves during a complete beat cycle. (c) Calculate the time required for a complete beat cycle to occur.
Waves: Beats
Question 4:

Medium

A tuning fork A emits a sound wave with a frequency of 340 Hz while a tuning fork B emits a sound wave of 345 Hz. When the two waves combine, the phenomenon known as beating occurs, generating zones of constructive and destructive interference. What is the frequency of the beating produced by the overlap of the sound waves emitted by tuning forks A and B?
Waves: Beats
Question 5:

Very Easy

Two sound waves of frequencies f1 = 400 Hz and f2 = 405 Hz are approaching an observer. Calculate the frequency of the beats perceived by this observer when the waves overlap and move away after approaching. Consider that the speed of sound in the air is 343 m/s and that the air temperature is adequate for the speed of sound to be constant.
Waves: Beats
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