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