High School

When played in a certain manner, the lowest resonant frequency of a certain violin string is 410 Hz.

What is the frequency of the:

(a) Second harmonic of the string?
(b) Third harmonic of the string?

Answer :

Final answer:

The frequency of the second harmonic of the violin string is 820 Hz, and the frequency of the third harmonic is 1230 Hz.

Explanation:

When a violin string is played, it vibrates at different frequencies, producing different harmonics. The lowest resonant frequency of the string, also known as the fundamental frequency, is 410 Hz.

The frequency of the second harmonic can be calculated by multiplying the fundamental frequency by 2:

  1. Frequency of second harmonic = 2 * 410 Hz = 820 Hz

The frequency of the third harmonic can be calculated by multiplying the fundamental frequency by 3:

  1. Frequency of third harmonic = 3 * 410 Hz = 1230 Hz

Learn more about frequency of harmonics on a violin string here:

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