🇺🇸

Question about Waves: Beats

Subject Physics

Physics

Source Originais Teachy

Originais Teachy

Topic Waves: Beats

Waves: Beats

Difficulty Hard

Hard

(Originais Teachy 2024) - Question Hard of Physics

During an interdisciplinary study on acoustics and musical perception, a group of 3rd-year high school students encounters the following situation: a keyboardist is tuning his instrument for a performance with a group of classical musicians. When playing a fixed reference note, the keyboardist perceives a beating with a note emitted by a tuning fork, which oscillates 2.5 times per second. Considering that the keyboardist adjusts his instrument to minimize the number of perceived beats and knowing that the fundamental frequency of the tuning fork is 440 Hz (standard tuning of the reference tuning fork), what should be the frequency of the keyboard to achieve the desired tuning, and how many beats will the keyboardist hear per second if the frequency difference between the notes causing the beating is strictly related to the perceived beating frequency?

The keyboardist should adjust his instrument to the frequency of 440 Hz or 445 Hz, and will hear 2.5 beats per second, regardless of the chosen frequency.

The keyboardist should adjust his instrument to the frequency of 437.5 Hz or 442.5 Hz, and will hear 2.5 beats per second, regardless of the chosen frequency.

The keyboardist should adjust his instrument to the frequency of 435 Hz or 442.5 Hz, and will hear 2.5 beats per second, regardless of the chosen frequency.

The keyboardist should adjust his instrument to the frequency of 437.5 Hz or 440 Hz, and will hear 5 beats per second, regardless of the chosen frequency.

The keyboardist should adjust his instrument to the frequency of 435 Hz or 445 Hz, and will hear 5 beats per second, regardless of the chosen frequency.

Answer sheet:

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur id consequat justo. Cras pellentesque urna ante, eget gravida quam pretium ut. Praesent aliquam nibh faucibus ligula placerat, eget pulvinar velit gravida. Nam sollicitudin pretium elit a feugiat. Vestibulum pharetra, sem quis tempor volutpat, magna diam tincidunt enim, in ullamcorper tellus nibh vitae turpis. In egestas convallis ultrices. Sed non sem ultricies, sollicitudin sem facilisis, commodo justo. Maecenas mattis sodales nunc, et auctor massa fermentum a. Maecenas eget nisl felis.