(i) The energy associated with the first orbit in the hydrogen atom is `-2.18xx10^(-18)" J atom"^(-1)`. What is the energy associated with the fifth orbit ?
(ii) Calculate the radius of Bohr's fifth orbit for hydrogen atom.

Explanation

(i) `E_(n)=- (2.18xx10^(-18))/n^(2) J :. E_(5)= - (2.18xx10^(-18))/5^(2) =-8.72xx10^(-20) J`
(ii) For H-atom, `r_(n)=0.529xxn^(2) Å :. r_(5) =0.529xx5^(2)=13.225 Å=1.3225 nm`