Figure $(a)$ shows a plot of voltage across the capacitor as a function of the driving frequency for a sinusoidally driven electromagnetic $LCR$ circuit. Figure $(b)$ shows the phase angle $\phi$ (phase difference between voltage and current) vs $\omega / \omega_0$ graph for the same circuit,for three different quality factors corresponding to graphs $1, 2, 3$ of figure $(a)$. Each graph in figure $(a)$ can be matched by one of the graphs $a, b, c$ in figure $(b)$. Which of the following statements is correct?

  • A
    Graph $(3)$ corresponds to graph $(a)$
  • B
    Graph $(1)$ corresponds to graph $(c)$
  • C
    The circuit of graph $1$ has a high quality factor
  • D
    The circuit of graph $3$ has a high quality factor

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