Question

The electron in the hydrogen atom jumps from excited state (n = 3) to its ground state (n = 1)

Answer 1

if we consider hν as the difference between energy En of nth excited state and ground state(n=1), we rewrite eqn.(1) as

 

En = eVo + φo = 10+2.75 = 12.75 eV ...................(2)

 

Energy difference En between nth excited state and ground state is given by,  begin mathsize 12px style E subscript n space equals space 13.6 cross times open parentheses 1 minus 1 over n squared close parentheses space........................ left parenthesis 3 right parenthesis end style

from (2) and (3), we have      begin mathsize 12px style 13.6 cross times open parentheses 1 minus 1 over n squared close parentheses space space equals space 12.75........................ left parenthesis 4 right parenthesis end style

solving for n in eqn.(4), we get n = 4