A string on a musical instrument is 50 cm long and its fundamental frequency is 270 Hz. Calculate the length of the string, if the desired frequency of 1000 Hz is to be produced.

Question

Aicharya · Accepted Answer

Sol. As, $f\propto\dfrac{1}{l}\Rightarrow \dfrac{l_{2}}{l_{1}}=\dfrac{f_{1}}{f_{2}}$ $\Rightarrow l_{2}=l_{1}\left(\dfrac{f_{1}}{f_{2}}ight)$ $\qquad = 50	imes\left(\dfrac{270}{1000}ight)=13.5\ \mathrm{cm}$ Answer: $13.5\ \mathrm{cm}$

A string on a musical instrument is 50 cm long and its fundamental frequency is 270 Hz. Calculate the length…

Solution