(Solution) - A harmonic oscillator consists of a 0 020 kg mass on a -(2025 Original AI-Free Solution)

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A harmonic oscillator consists of a 0.020-kg mass on a spring. Its frequency is 1.50 Hz, and the mass has a speed of 0.360 m/s as it passes the equilibrium position.
(a) What is the value of the quantum number n for its energy level?
(b) What is the difference in energy between the levels En and En+1? Is this difference detectable?