Question

You can write the answers on this sheet or other pages attached to this sheet. The ionization energy for an electron in a particular hydrogen state is the negative of that state's energy. Energy of a free electron is set at O and the electron in a hydrogen atom is bound with a negative total energy. What is the ionization energy for an electron in a hydrogen n = 3 state? (1 pt) The electronic energies of hydrogen are given by: mee* 2.179 x 10-18) 13.60 eV E -- BEN?? where n= 1, 2, 3.. Set up and simplify but don't evaluate, the integral to show that the sand 200 hydrogen atom wave functions are orthogonal to each other. Be sure to have the proper limits and differential element for this integration. (1 pt) The wave functions are: 4.00 pagine 1.200 = vanvraja (2-) = See other side for rest of assignment

Answer 1

Joni Petion energy is the energy by supplying tha's energy to an electron .con be removed from the Shell to infinite distance that is the negative of the potential energy of that electron. As flere given the potential energy of the electron in n-th State . 1 En me es 8h2 m2 -2.17-9x10-18J 72 -13.60 eV Where n1,2,3.... Wow, Potential energ of et the electron af na 3 State - - €3 = - 13.60 eV -1 = -1.51 er So, the Ionisation energy of that electron Ez .- -(-151 év) = 115lev. . will be negative of Q.2. we have to show you orthogonal and 4200 is ter jane de jao I thi Peo porno Now 1100 = 2 a 32 Photo - Pabnyk egt ( - L.)e- - Juno co.jos ſekali na taj datum * (-4,m

. x2 dr ► 4 - ੧% * ( 4 3 ) o ( * 47* ਜਲਣ ' ਐਵਰਣ ( ) , ਤਾਂ ' re. - % ਦੇ ਝੰ. ) ... we use the stondend integral , 15*2*, du matin • ਵੜ ਨੂੰ ਜਾਂਦੇ ਨੇ , ਬੇਲ – ਨੇਕ. j « •• . ਲਾ ' ਚ - ਦੇਵ ਜ We use the standard integral, 3। 3. 4 A 2 (Proved) that, I and Y200 are orthogonal to each other.