High School

The A string of a violin is a little too tightly stretched. Beats at 6 per second are heard when the string is sounded together with a tuning fork that is oscillating accurately at concert A ([tex]4.40 \times 10^2 \, \text{Hz}[/tex]). What is the period of the violin string oscillation?

Answer :

Final answer:

The period of the violin string oscillation is 0.1667 seconds.

Explanation:

When two waves have slightly different frequencies, they create a phenomenon called beats. In this case, the A string of the violin is creating beats with the tuning fork. The beat frequency is given as 6 beats per second. The beat frequency is equal to the difference between the frequencies of the two waves involved. So, the difference between the frequency of the A string and the concert A tuning fork is 6 Hz.

The period of violin string oscillation can be calculated by taking the reciprocal of the frequency. The period is the time it takes for one complete oscillation. So, the period of the violin string oscillation is 1/6 seconds (or 0.1667 seconds).

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