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

question 20

Multiple Choice

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

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Definitions:

Sampling Distribution

The spectrum of probabilities for a predetermined statistic, collected from a random sample.

Probability Density Function

A function that describes the likelihood of obtaining the possible values that a random variable can assume, used in continuous probability distributions.

Finite Population Correction Factor

A correction applied to standard errors or variances when sampling from a finite population without replacement, to account for the decreased variability.

Population Mean

The average of all the values in a population, calculated as the sum of all values divided by the number of values.