A variable length air column (closed on one end) is placed just below a vibrating wire of mass 5.00g, which is fixed at both ends. The length of the air column is gradually increased from zero until the first position of resonance (first harmonic) is observed at 34 cm. The wire is 120 cm long and is vibrating in its third harmonic. If the speed of sound in air is 340 m/s, what is the tension in the wire?
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.
A variable length air column (closed on one end) is placed just below a vibrating wire
of mass 5.00g, which is fixed at both ends. The length of the air column is gradually
increased from zero until the first position of resonance (first harmonic) is observed at 34
cm. The wire is 120 cm long and is vibrating in its third harmonic. If the speed of sound
in air is 340 m/s, what is the tension in the wire?
For a closed end air column, the 1st harmonic frequency is given as,
Here, v is the speed of sound in air and L is the length of the closed-end air.
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