A mass of 0.500 kg is oscillating with small amplitude oscillations on the end of a spring whose stiffness constant is 5 N/m.When this oscillator makes a transition from its n = 3 state to its n = 2 state,the energy of the photon emitted is A)6.67 $\times$ 10^-34 J B)1.33 $\times$ 10^-33 J C)3.33 $\times$ 10^-34 J D)1.00 $\times$ 10^-33 J E)None of these is correct.

Question

Quizplus · Accepted Answer

The energy levels of a quantum harmonic oscillator are given by E_n = (n + 1/2)ħω. The energy difference between levels n = 3 and n = 2 is ΔE = ħω. For a spring, ω = √(k/m). Substituting the given values, the energy of the photon emitted is approximately 3.33 × 10^-34 J.

A Mass of 0 ×\times× 10-34 J B)1 ×\times× 10-33 J C)3 ×\times×

A Mass of 0 $\times$ 10^-34 J
B)1 $\times$ 10^-33 J
C)3 $\times$