Column $I$ shows four systems,each of the same length $L$,for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency,whose wavelength is denoted as $\lambda_{f}$. Match each system with statements given in Column $II$ describing the nature and wavelength of the standing waves.
Column $I$:
$(A)$ Pipe closed at one end
$(B)$ Pipe open at both ends
$(C)$ Stretched wire clamped at both ends
$(D)$ Stretched wire clamped at both ends and at mid-point
Column $II$:
$(p)$ Longitudinal waves
$(q)$ Transverse waves
$(r)$ $\lambda_{f} = L$
$(s)$ $\lambda_{f} = 2L$
$(t)$ $\lambda_{f} = 4L$

  • A
    $(A) \rightarrow p, t; (B) \rightarrow p, s; (C) \rightarrow q, s; (D) \rightarrow q, r$
  • B
    $(A) \rightarrow q, t; (B) \rightarrow r, s; (C) \rightarrow p, s; (D) \rightarrow q, t$
  • C
    $(A) \rightarrow p, t; (B) \rightarrow p, s; (C) \rightarrow q, s; (D) \rightarrow q, r$
  • D
    $(A) \rightarrow q, t; (B) \rightarrow r, t; (C) \rightarrow q, s; (D) \rightarrow s, t$

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