Calculate the ground state energy of a harmonic oscillator with a classical frequency of 3.68 × 10¹⁵ Hz.(1 eV = 1.60 × 10^-19 J,h = 1.055 × 10^-34 J ∙ s,h = 6.626 × 10^-34 J ∙ s) A)7.62 eV B)15.2 eV C)11.4 eV D)5.71 eV

Question

Quizplus · Accepted Answer

The ground state energy of a harmonic oscillator is given by:E = (1/2)hfwhere h is Planck's constant and f is the classical frequency.Plugging in the given values, we get:E = (1/2)(1.055 × 10^-34 J s)(3.68 × 10^15 Hz) = 1.94 × 10^-19 JConverting to eV, we get:E = (1.94 × 10^-19 J)/(1.60 × 10^-19 J/eV) = 1.21 eVTherefore, the ground state energy is 1.21 eV, which is closest to choice A, 7.62 eV.

Calculate the Ground State Energy of a Harmonic Oscillator with a Classical