Diatomic molecules such as $\mathrm{H}_{2}$ and $\mathrm{F}_{2}$ undergo simple harmonic motion with frequencies that obey Hooke's Law, with an effective mass equal to half the atomic mass. If the mass of a hydrogen atom is $1.627 \times 10^{-27}$ $\mathrm{kg}$ and the mass of a fluorine atom is $3.17 \times 10^{-26} \mathrm{~kg}$, what is the approximate ratio of the oscillation frequency of $\mathrm{H}_{2}$ to that of $\mathrm{F}_{2}$, assuming the bond strengths are the same?
A) 38
B) 9.5
C) 360
D) 19
E) 4.4

Question

Quizplus · Accepted Answer

The Answer of Diatomic molecules such as $\mathrm{H}_{2}$ and $\mathrm{F}_{2}$ undergo simple harmonic motion with frequencies that obey Hooke's Law, with an effective mass equal to half the atomic mass. If the mass of a hydrogen atom is $1.627 \times 10^{-27}$ $\mathrm{kg}$ and the mass of a fluorine atom is $3.17 \times 10^{-26} \mathrm{~kg}$, what is the approximate ratio of the oscillation frequency of $\mathrm{H}_{2}$ to that of $\mathrm{F}_{2}$, assuming the bond strengths are the same?
A) 38
B) 9.5
C) 360
D) 19
E) 4.4

Diatomic Molecules Such As H2\mathrm{H}_{2}H2​ And F2\mathrm{F}_{2}F2​ Undergo Simple Harmonic Motion with Frequencies That Obey Hooke's Law

Diatomic Molecules Such As $\mathrm{H}_{2}$ And $\mathrm{F}_{2}$ Undergo Simple Harmonic Motion with Frequencies That Obey Hooke's Law