When an electron orbits the nucleus, it can be thought of as a standing wave. Calculate the frequency of this wave if the electron is in the fourth energy level of a hydrogen atom.

How much energy is released if an electron drops from a Na atom's  n=5 energy level down to n=3 level and what frequency would the photon that is emitted have?

By developing the Schrodinger equation for the hydrogen atom determine: a. The probability of finding your electron in an orbit between [a0/2, 3a0/2] b. The probability of finding its electron inside the nucleus. c. The average radius of the electron's orbit.

Calculate the wavelength of the third line of the Paschen series for hydrogen.

4. Show that the wave functions for the ground state and first excited state of the simple harmonic oscillator, given by W0 (x) and W1 (x), are orthogonal, where %(x) = Aoe¬max² /2h 4 (x) = A1V m@ -mox² /2h -xe

The energy of an electron in the first energy level of a certain atom is 9.6 eV. What is the wavelength of the electron at this level?