iran-konkur 2023 Q53

iran-konkur · Other · konkur-riazi_1402_tir_specialized Not Maths
53 -- A string of length $60\,\text{cm}$ is fixed at both ends and vibrates, forming $3$ antinodes along its length. If $300\,\text{Hz}$ is a harmonic frequency of this string, how many Hz is the fundamental frequency and what is the harmonic number of $300\,\text{Hz}$?
  • [(1)] $500$ and $300$
  • [(2)] $120$ and $300$
  • [(3)] $120$ and $100$
  • [(4)] $500$ and $100$
\textbf{53 --} A string of length $60\,\text{cm}$ is fixed at both ends and vibrates, forming $3$ antinodes along its length. If $300\,\text{Hz}$ is a harmonic frequency of this string, how many Hz is the fundamental frequency and what is the harmonic number of $300\,\text{Hz}$?

\begin{itemize}
    \item[(1)] $500$ and $300$
    \item[(2)] $120$ and $300$
    \item[(3)] $120$ and $100$
    \item[(4)] $500$ and $100$
\end{itemize}