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A particle starts executing simple harmonic motion from one extreme position. If $\mathrm{a}, \mathrm{b}$ and $c$ are the displacements of the particle from the mean position at the ends of three successive seconds, the frequency of simple harmonic motion is

PhysicsOscillationsAP EAMCETAP EAMCET 2018 (24 Apr Shift 2)

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A $\frac{1}{\pi} \operatorname{Cos}^{-1}\left[\frac{\mathrm{a}+\mathrm{b}}{\mathrm{c}}\right]$
B $\frac{1}{2 \pi} \cos ^{-1}\left[\frac{b+c}{2 a}\right]$
C $\frac{1}{2 \pi} \operatorname{Cos}^{-1}\left[\frac{\mathrm{a}+\mathrm{c}}{2 \mathrm{~b}}\right]$
D $\frac{1}{2 \pi} \operatorname{Cos}^{-1}\left[\frac{\mathrm{a}+\mathrm{b}}{2 \mathrm{c}}\right]$

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