Question

A string of length 0.3 m is fixed at both ends. The string is plucked and a standing wave is set up that is vibrating at its third harmonic. The traveling waves that make up the standing wave have a speed of 133.2 m/s. What is the frequency of input vibration-like Meldes experiment? [Units required =Hz ]

Answer 1

The frequency of the third harmonic standing wave on a 0.3 m string with wave speed of 133.2 m/s is 665 Hz.

Step-by-step explanation:

The student is asking about a standing wave that is created when a string fixed at both ends is plucked and vibrates at its third harmonic. The length of the string is 0.3 meters, and the speed of the traveling waves is 133.2 m/s. In the context of standing waves on a string, the frequency of the standing wave is determined by both the length of the string and the speed of the waves traveling along the string.

The frequency of the third harmonic (n=3) is given by the formula:

f = n/(2*L)×v,

where f is the frequency, n is the harmonic number, L is the length of the string, and v is the wave speed. Using the given values:

f = 3/(2*0.3×133.2) = 665 Hz,

so the frequency of the third harmonic is 665 Hz.