Two violinists are trying to play in tune. However, whenever they play their A string at the same time they hear a beat frequency of 5.0 Hz. One of the violinists measures her A string with an electronic tuner and finds that it is tuned to 462 Hz. What are the possible frequencies for the A string of the other violinist? 462 Hz 467 Hz 457 Hz 472 Hz 452 Hz
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
![**Two violinists are trying to play in tune. However, whenever they play their A string at the same time, they hear a beat frequency of 5.0 Hz. One of the violinists measures her A string with an electronic tuner and finds that it is tuned to 462 Hz.**
**What are the possible frequencies for the A string of the other violinist?**
- [ ] 462 Hz
- [ ] 467 Hz
- [ ] 457 Hz
- [ ] 472 Hz
- [ ] 452 Hz
**Explanation of the Concept:**
When two frequencies are close but not identical, they produce a phenomenon known as beats. The beat frequency is the absolute difference between the two frequencies. In this scenario, the beat frequency is 5.0 Hz. If one violinist's frequency is 462 Hz, then the other could be either 462 Hz + 5 Hz = 467 Hz or 462 Hz - 5 Hz = 457 Hz.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22da6f86-1937-4ce6-83a9-97c297078de9%2F4205b647-abe5-4452-825a-864328d552e9%2F4i5l2vu_processed.png&w=3840&q=75)
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