Answer the following by appropriately matching the lists based on...

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 ${L}_{0}$ and $2{L}_{0} .$ It is found that in string- $1$\left(\mu\right)$at free length${L}_{0}$and tension${T}_{0}$the fundamental mode frequency is${f}_{0} .$<br />List-I gives the above four strings while list-II lists the magnitude of some quantity.<br /> <table border="1px solid"> <thead> <tr> <th> </th> <th><strong style="text-align: center;">List I</strong></th> <th> </th> <th><strong style="text-align: center;">List II</strong></th> </tr> </thead> <tbody> <tr> <td>$( a )$</td> <td>String$- 1\left(\mu\right)$</td> <td>$( p )$</td> <td>$1$</td> </tr> <tr> <td>$( b )$</td> <td>String$- 2\left(2\mu\right)$</td> <td>$( q )$</td> <td>$\dfrac{1}{2}$</td> </tr> <tr> <td>$( c )$</td> <td>String$- 3\left(3\mu\right)$</td> <td>$( r )$</td> <td>$\dfrac{1}{\sqrt{2}}$</td> </tr> <tr> <td>$( d )$</td> <td>String$- 4\left(4\mu\right)$</td> <td>$( s )$</td> <td>$\dfrac{1}{\sqrt{3}}$</td> </tr> <tr> <td> </td> <td> </td> <td>$( t )$</td> <td>$\dfrac{3}{16}$</td> </tr> <tr> <td> </td> <td> </td> <td>$( u )$</td> <td>$\dfrac{1}{16}$</td> </tr> </tbody></table><br />If the tension in each string is${T}_{0},$the correct match for the highest fundamental frequency in${f}_{0} units will be,