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.
  • A$(A) \rightarrow p, r, \ and \ t,(B) \rightarrow p \ and \ q (C) \rightarrow q, \ and \ s,(D) \rightarrow  r \ and \ s$
  • B$(A) \rightarrow q \ and \ t,(B) \rightarrow r \ and \ s (C) \rightarrow p, \ and \ s,(D) \rightarrow  q \ and \ t$
  • C$(A) \rightarrow p \ and \ t,(B) \rightarrow p \ and \ s (C) \rightarrow q, \ and \ s,(D) \rightarrow  q \ and \ r$
  • D$(A) \rightarrow q \ and \ t,(B) \rightarrow r \ and \ t (C) \rightarrow q \ and \ s,(D) \rightarrow  s \ and \ t$
IIT 2011, Diffcult
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