question 5 and 6
please just solve question 5
to redefine an e gy unit called...
to redefine an e gy unit called Hartree, with the symbol Ex to reduce the length in writing. Ex is so-defined that E -A (a) Compare the different expressions of E, and derive a formula of EA's definition. () Calculate the value of Eand express it in the unit of eV. (c) What is the ionisation potential (IP) of hydrogen atom in the unit of EU? 5. Given Ra(s) e/(20), calculate the average radius of the 210 hydrogen orbital. The integral you need is Gor"-"dr = for being a positive integer 6. Superconducting magnets have magnetic field strengths of the order of 15 T ("T" for Tesla, the SI unit of magnetic field strength). Let's assume that there is no electronic spin. How many sub-levels is the 2p level of hydrogen atom split to under such a strong field? What are the magnitudes of the split- ting? Compare the magnitude of the splittings to the 2p-to-1s transition en- ergy. Express your final calculated energy quantities in eV. The Bohr magneton By = = 9.2740 x 10-17T-