Question

Light with a frequency of 3.197 x 10^15 will excite an electron in ground state hydogen to what level?

Answer 1

Relation between energy and frequency is givne as,

Energy = Planck's constatn * Frequency

E = 6.626 * 10^-34 * 3.197 * 10¹⁵

E = 2.12 * 10^-18 J

And

Energy of an electron in an orbit of hydrogen atom is given as,

E = - 2.18 * 10^-18 / n²

2.12 * 10^-18 = - 2.18 * 10^-18 / n²

n² = 1 .00

n = 1.00

This frequency corresponds to the energy of first level of hydrogen atom, it does not cause any excitation. More than this amount of energy and which is euqal to the energy of 2nd or 3rd and soon can cause excitation.