An electron is confined in one dimensional atomic box of length, L = 5 * 10⁻¹⁰ m. The energy levels are set as energies of particle in the box. (mc = 9.1 * 10⁻³¹ kg, h = 6.626 * 10⁻³⁴ J. s)

a) What is the ground state (n=1, the first energy state) of this electron?