Questionnaire 1.2.5 — Oscillations

Consider a mass hanging from an ideal spring. (An ideal spring will have restoring force proportional to how much it is stretched or compressed, and will have no friction. In such an ideal mass and spring problem, we will also presume there are no other sources of friction, such as air resistance on the mass.) Assume the mass is equal to $1\ \text{kg}$ and the spring constant is $10\ \text{N/m}$. What is the characteristic frequency of this simple harmonic oscillator? That is, at approximately what frequency (in Hz or cycles per second) will the mass oscillate on the spring?

a) $1$ b) $0.503$ c) $3.16$ d) $10$ e) $19.9$ f) none of the above is close to the correct answer