The measured vibrational frequency for a molecule is $3.5 \times 10 ^ { 13 } \mathrm {~Hz}$ . The energy difference between the vibrational states in the molecule is
A) 0.070 eV.
B) 0.14 eV.
C) 0.21 eV.
D) 0.28 eV.

Question

Quizplus · Accepted Answer

The energy difference between vibrational states is given by $ E = h \nu $, where $ h $ is Planck's constant ($4.135667696 \times 10^{-15} \, \text{eV}\cdot\text{s}$) and $ \nu $ is the frequency. Substituting the given frequency, $ E = 4.135667696 \times 10^{-15} \, \text{eV}\cdot\text{s} \times 3.5 \times 10^{13} \, \text{Hz} = 0.1447 \, \text{eV} $, which rounds to 0.14 eV.

The Measured Vibrational Frequency for a Molecule Is 3.5×1013 Hz3.5 \times 10 ^ { 13 } \mathrm {~Hz}3.5×1013 Hz

The Measured Vibrational Frequency for a Molecule Is $3.5 \times 10 ^ { 13 } \mathrm {~Hz}$