(i) The energy associated with the first orbit in the hydrogen atom is `-2.18 xx 10^(18) J atom^(-1) ` what is the energy associated with the fifth orbit ?
(ii) Calculate the radius of Bohr. fifth orbit for hydrogen atom

Explanation

(i) energy ralated to fifth orbit (n=5) is `(E_(5))`
Hydrogen of n=1 energy to `E_(1) = - 2.18 xx 10^(18) J atom^(-1)`
Hydrogen of n= 5 energy to `E_(1) = 2.18 xx 10^(18) atom^(-1)`
Hydrogen of n= 5 energy to `E_(5) = (?)`
(ii) Radii of fifth orbit `(r _(5))`
For halogen atom
`r_(n) =((0.0529 nm)/(Z)) n^(2)`
where z= 1 ,n=5
`r_(5) = (0.0529 xx (5)^(2))/( 1) nm = 1.325 nm`