A diatomic quantum mechanical vibrator in its ground state has energy E. This same vibrator in its third state has energy
A)E.
B)3E.
C)5E.
D)7E.
E)9E.

Question

Quizplus · Accepted Answer

The energy of a diatomic quantum mechanical vibrator in its nth state is given by:E = (n + 1/2) * h * fwhere n is the vibrational quantum number, h is Planck's constant, and f is the vibrational frequency.In the ground state, n = 0, so the energy is:E = (0 + 1/2) * h * f = 1/2 * h * fIn the third state, n = 2, so the energy is:E = (2 + 1/2) * h * f = 5/2 * h * fTherefore, the energy in the third state is 5 times the energy in the ground state.

A Diatomic Quantum Mechanical Vibrator in Its Ground State Has