Question: As an example of adiabatic invariance, consider the preceding problem in the case where the magnitude of the force (F) is slowly changed, i.e., slow

As an example of adiabatic invariance, consider the preceding problem in the case where the magnitude of the force $F$ is slowly changed, i.e., slow relative to the oscillation period of the particle. Which (if any) of the following quantities remain constant in the adiabatic limit?

(a) the oscillation amplitude?

(b) the frequency of oscillation?

(c) the energy?

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