2QuantizationA mass of m= 1.5 kg oscillates at the end of a spring with a spring constant k = 20 N/m. According to Planck'shypothesis, the energy of this system is quantized: EN = N-hfo, where his Planck's constant, fo is the natural frequencyof the oscillator, and N is the quantum number of the oscillator.(a) What is the spacing between energy levels of the spring, AE = EN+1-EN?(b) If the amplitude of oscillation is xo = 3.00 cm, what is the approximate quantum number N of the system?(c) The energy required to ionize a hydrogen atom is 13.6 eV. Determine a mass m and a spring constant k that wouldgive this spacing between energy levels: i.e., AE = 13.6 eV.(d) Critical Thinking: Based on what you have learned in this problem, why might it difficult to observe quantumeffects with everyday objects?

k = 20 N/m m = 1.5 kg x0 = 3 cm = 0.03 m

Answered: A mass of m= 1.5 kg oscillates at the…

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