**Question:**Calculate the standard deviation expected when measuring the energy many times at \( t = 20 \, \mu s \) after the system is prepared in an identical manner. Keep the units in eV. The wave function is given by \[\psi(x, t) = C \left[ 3e^{-i\omega_1 t} \phi_1(x) + 4e^{-i\omega_2 t} \phi_2(x) \right]\]where \(\phi_1(x)\) and \(\phi_2(x)\) are energy eigenfunctions that are orthonormal, and \(\omega_1 = 3.0 \times 10^{15}\, \text{Hz}\) and \(\omega_2 = 7.5 \times 10^{15}\, \text{Hz}\).**Questions:**1. What are the two energy levels in units of eV?2. Calculate the average energy of the system in eV.

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The wave function is given by (x, t) = C3e-iwitp,(x) + 4e-i@2tp2(x)] where p1(x) and p2(x) are energy eigenfunctions that are orthonormal, and w, = 3.0 x 1015 Hz and w, = 7.5 × 1015 Hz. %3D What are the two energy levels in units of eV? Calculate the average energy of the system in eV.