If the differential equation of a particle in simple harmonic motion in SI units is \( 2 \frac{\mathrm{~d}^{2} x}{\mathrm{dt}^{2}}+32 x=0 \) , then what will be the angular frequency?

A \( 4 \mathrm{rad} \mathrm{s}^{-1} \)

B \( 8 \mathrm{rad} \mathrm{s}^{-1} \)

C \( 16 \mathrm{rad} \mathrm{s}^{-1} \)

D \( 32 \mathrm{rad} \mathrm{s}^{-1} \)

Solution

Correct Answer: Option A

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