the energy associated with the first orbit in the hydrogen atom is `-2.18xx 10^(-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)=-(2.18 xx 10^(-18))/(n^2) " J atom"^(-1)`
`E_(5)=-(2.18 xx 10^(-18))/((5)^2)`
`=-8.72 xx 10^(-20)" J atom"^(-1)`
(ii) For H atom, `r_(n)=0.529 xx n^2 A`
`r_(5)=0.529 xx (5)^2`
`=13.225 A =1.3225nm`