A particle executes simple harmonic motion and is located at $x = a, b$  and  $c$ at times $t_0, 2t_0$ and $3t_0$ respectively. The frequency of the oscillation is
  • A$\frac{1}{{2\pi {t_0}}}\cos {\,^{ - 1}}\left( {\frac{{a + b}}{{2c}}} \right)$
  • B$\frac{1}{{2\pi {t_0}}}\cos {\,^{ - 1}}\left( {\frac{{a + b}}{{3c}}} \right)$
  • C$\frac{1}{{2\pi {t_0}}}\cos {\,^{ - 1}}\left( {\frac{{2a + 3c}}{{b}}} \right)$
  • D$\frac{1}{{2\pi {t_0}}}\cos {\,^{ - 1}}\left( {\frac{{a + c}}{{2b}}} \right)$
JEE MAIN 2018, Diffcult
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