Harmonics

Harmonics are fundamental elements within the realm of physics and music theory, representing complex waveforms derived from simple sine waves. They play a crucial role in understanding the behavior of various systems, from electrical grids to musical instruments. Stemming from the principle of superposition, harmonics contribute to the richness of sound and the intricate patterns observed in nature. By delving into their properties and interactions, researchers and musicians alike uncover deeper insights into resonance, frequency modulation, and the intricate tapestry of auditory perception. Understanding harmonics unlocks a profound appreciation for the underlying order present in diverse phenomena.

Questions
  • How are harmonics generated in a transformer?
  • One of the strings of a guitar has a fundamental frequency of 440 Hz and another has a fundamental frequency of 660 Hz. Which of the following set of frequencies could be produced on both of these strings?
  • What is the underlying reason why harmonics sound good?
  • How are harmonics related to fundamental frequency?
  • To have 1st, 2nd, 3rd, etc. overtones in a closed or open-air column, do you need to have a longer tube length (than the one that produced the fundamental)?
  • Why do larger instruments create lower frequencies than smaller instruments?
  • What is meant by 'harmonics' in a musical note, and how are harmonics explained in physics? How is this relevant to how the same note played on different musical instruments sound different?
  • Two identical tuning forks are placed side by side. Why does the vibration of the first tuning fork cause the vibration of the second?
  • Is it possible to have a non-whole number harmonic in sound?
  • (PHYSICS HELP!) Two cars have identical horns, each emitting a frequency of fs = 409 Hz. One of the cars is moving with a speed of......?
  • Two tuning forks a and b of frequency 200 Hz and 400 Hz are vibrated simultaneously. speed of sound in air is 330 m/s. Then the ratio of time taken by the sound a and b to travel 660 m and 490 m respectively in air is ?
  • What is the first overtone frequency for an organ pipe 2.00 m in length, closed at one end?
  • If a string vibrates 10 times in 10 seconds, what is the frequency?
  • Two strings are tuned to the same pitch (#184# Hz). Later you increase the tension in one string. Now, when both strings are played, there are 2 beats every second. What is the new frequency of the string that was tuned?
  • What does 80 Hz mean?
  • In harmonic oscillator transition from ground state to second excited state is forbidden, why?
  • Check whether the function f(z)=(2z-z^2) is harmoic or not?
  • Which has the lowest magnitude ?
  • An open pipe of length l1 and a closed pipe of length l2 both resonate with the same tuning fork in their fundamental mode of vibration. Calculate the value of l1 /l2 ?
  • What is full from of SONAR?