Photoelectric emission is observed from a metallic surface for frequencies $\nu_1$ and $\nu_2$ of the incident light rays $(\nu_1 > \nu_2)$. If the ratio of the maximum kinetic energy of the photoelectrons emitted in the first case to that in the second case is $3 : K$, then the threshold frequency of the metallic surface is:

  • A
    $\frac{K\nu_1 - 3\nu_2}{K - 3}$
  • B
    $\frac{K\nu_1 - \nu_2}{K - 1}$
  • C
    $\frac{3\nu_2 - K\nu_1}{3 - K}$
  • D
    $\frac{K\nu_2 - 3\nu_1}{K - 3}$

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