4. Consider a state of the hydrogen atom with (n-2,1-1, my-0). Using the atomic hydrogen wave functions, (a) Write down the total wave function, 21 that describes this quantum static. (b) Use the given radial wave function to determine the radial probability density. (Be careful to pay attention to the fact that we are working in sphericall coordinates!) (0) Make a sketch of the radial probability density. () If the electron makes a transition from the state with (n=2,1-1, m-0) to the ground state, what will be the energy of the emitted photon? What will be its wavelength? Using the probability density from part (b) find mathematically the most probable distance between the electron and the nucleus.

4. Consider a state of the hydrogen atom with (n-2,1-1, my-0). Using the atomic hydrogen wave functions, (a) Write down the total wave function, 21 that describes this quantum static. (b) Use the given radial wave function to determine the radial probability density. (Be careful to pay attention to the fact that we are working in sphericall coordinates!) (0) Make a sketch of the radial probability density. () If the electron makes a transition from the state with (n=2,1-1, m-0) to the ground state, what will be the energy of the emitted photon? What will be its wavelength? Using the probability density from part (b) find mathematically the most probable distance between the electron and the nucleus.