Physics - Wave on String Question with Solution | TestHub

Answer the following by appropriately matching the lists based on the information given in the paragraph. A musical instrument is made using four different metal strings, $1,2,3$ and 4 with mass per unit length $\mu ,2\mu$, $3\mu$ and $4\mu$ respectively. The instrument is played by vibrating the strings by varying the free length in between the range ${\mathrm{L}}_0$ and $2{\mathrm{L}}_0$. It is found that in string-1 $(\mu )$ at free length ${\mathrm{L}}_0$ and tension ${\mathrm{T}}_0$ the fundamental mode frequency is $f_0$.

List-I gives the above four strings while list-II lists the magnitude of some quantity.

If the tension in each string is $T_0$, the correct match for the highest fundamental frequency in $f_0$ units will be,