The middle C on a piano has a frequency of 262 Hz. The E above has a frequency of 330 Hz, and the G above that has a frequency of 392 Hz. (a) What is the frequency of beats that one would hear if they played the C and the E together? (b) What is the frequency of beats that one would hear if they played the C and the G together? (c) Notes sound nice together when the ratios of their frequencies are fractions with really small numerators and denominators, like 2{3, 3{4, 3{5, etc. See if you can determine the approximate ratio that C and E should have, and the approximate ratio that C and G should have. If C stayed the same, what frequency would you give to the E note and the G note to make them sound the most pleasing to the ear? (d) An octave is defined by the fact that a note in the higher octave has close to double the frequency of the corresponding note in the lower octave. What should the frequency of the C above the middle C be? (e) Suppose the speed of sound in the air is 340 m/s. Calculate the wavelengths of the C, E, and G notes given above, as well as the wavelength of the C above the middle one (from your answer to part (d)). Please help me solve c, d and e. Thanks ????
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.
The middle C on a piano has a frequency of 262 Hz. The E above has a frequency of 330 Hz, and the G above that has a frequency of 392 Hz.
(a) What is the frequency of beats that one would hear if they played the C and the E together?
(b) What is the frequency of beats that one would hear if they played the C and the G together?
(c) Notes sound nice together when the ratios of their frequencies are fractions with really small numerators and denominators, like 2{3, 3{4, 3{5, etc. See if you can determine the approximate ratio that C and E should have, and the approximate ratio that C and G should have. If C stayed the same, what frequency would you give to the E note and the G note to make them sound the most pleasing to the ear?
(d) An octave is defined by the fact that a note in the higher octave has close to double the frequency of the corresponding note in the lower octave. What should the frequency of the C above the middle C be?
(e) Suppose the speed of sound in the air is 340 m/s. Calculate the wavelengths of the C, E, and G notes given above, as well as the wavelength of the C above the middle one (from your answer to part (d)).
Please help me solve c, d and e. Thanks ????
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