The first energy of the hydrogen atom are at n = 1, -13.6eV;n = 2, -3.4eV; n = 3, -1.51eV; n =4, -0.85eV;n = 5, =0.54eV. A hydrogen discharge lamp gives an infrared spectrum that includes a sharp line at a wavelength of 4μm, coming from electrons excited by the discharge to a higher level, and then jump down to a lower level. Determine the energy lost by these electrons, and identify the higher and lower levels involved.