[UPSC IFoS 2019] Schrodinger’s Wave equation and applications (Q153, 15M)

An electron is confined in the ground state of a one-dimensional harmonic oscillator such that \Delta x = 10^{-10}~\text{m}. Assuming \langle T \rangle = \langle V \rangle, find the energy in eV required to excite it to the first excited state.