The string of a violin emits a note of $400\ \mathrm{Hz}$ at its correct tension. The string is bit taut and…
The string of a violin emits a note of $400\ \mathrm{Hz}$ at its correct tension. The string is bit taut and produces $5$ beats per second with a tuning fork of frequency $400\ \mathrm{Hz}$. Find frequency of the note emitted by this taut string.
Solution
Sol. The frequency of vibration of a string increases with increase in the tension. Thus, the note emitted by the string will be a little more than $400\ \mathrm{Hz}$. As it produces $5$ beats per second with the $400\ \mathrm{Hz}$ tuning fork, the frequency will be $405\ \mathrm{Hz}$.
Answer: $405\ \mathrm{Hz}$