1 Plancks constant is very small on the scale of human affairs Compare the angular momentum of a childs marble spinning at 60 rpm with Plancks constant Compare the energy of the same marble attached to a spring with spring constant k 10 kg s 2 and oscillating with an amplitude of 1 cm with the ground state energy 1 2 of this harmonic oscillator Quantum effects are important in systems where L or E (The moment of inertia of a uniform sphere of mass m and radius R is I 2 5MR 2 )

Question: 1 Plancks constant is very small on the scale of human affairs. Compare the angular momentum of a childs marble spinning at 60 rpm with

1 Planck’s constant is very small on the scale of human affairs. Compare the angular momentum of a child’s marble spinning at 60 rpm with Planck’s constant. Compare the energy of the same marble attached to a spring with spring constant k = 10 kg/s² and oscillating with an amplitude of 1 cm with the ground state energy 1/2ℏω of this harmonic oscillator. Quantum effects are important in systems where L ≈ ℏ or E ≈ ℏω. (The moment of inertia of a uniform sphere of mass m and radius R is I = 2/5MR².)

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