Estimate the Maximum Rotational Energy (In Electron-Volts) for a Free $L = 2$

Multiple Choice

Estimate the maximum rotational energy (in electron-volts) for a free and freely-spinning diatomic hydrogen molecule in the $L = 2$ quantum state. The equilibrium separation for the atoms in the $\mathrm { H } _ { 2 }$ molecule is $0.075 \mathrm {~nm} . \left( 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J} , m _ { \text {proton } } = 1.67 \times 10 ^ { - 27 } \mathrm {~kg} , h = 6.626 \times 10 ^ { - 34 } \right.$ J.s)

A) $0.033 \mathrm { eV }$
B) $0.011 \mathrm { eV }$
C) $0.044 \mathrm { eV }$
D) $0.022 \mathrm { eV }$