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In each of the four situations of column I a stretched string or an organ pipe is given along with the required data. In case of strings the tension in string is \( \mathrm{T}=102.4 \mathrm{~N} \) and the mass per unit length of string is \( 1 \mathrm{~g} / \mathrm{m} \). Speed of sound in air is \( 320 \mathrm{~m} / \mathrm{s} \). neglect end corrections. The frequencies of resonance are given in Column II. Match each situation in Column I with the possible resonance frequencies given in Column II.
\begin{tabular}{|c|c|c|c|}
\hline & Column I & & \begin{tabular}{c}
Column \\
II
\end{tabular} \\
\hline 1. & \begin{tabular}{l}
String fixed at both \\
ends \\
\( \left.\right|_{\text {Fixed }} 0.5 \mathrm{~m} \underset{\text { Fixed }}{ } \)
\end{tabular} & a. & \( 320 \mathrm{~Hz} \) \\
\hline ii. & \begin{tabular}{l}
String fixed at one end \\
and free at other end \\
Fixed end \( \quad \) Free end
\end{tabular} & b. & \( 480 \mathrm{~Hz} \) \\
\hline
\end{tabular}
\begin{tabular}{|c|c|c|c|}
\hline iii. & & c. & \( 640 \mathrm{~Hz} \) \\
\hline iv. & \( \square_{\square}^{\text {Closed organ pipe }} \) & d. & \( 800 \mathrm{~Hz} \) \\
\hline
\end{tabular}


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