calculate the energy assoclated with the first orbit of `He^(+)` . What is the radius of this orbit?

Explanation

`E_(n) =- ((2.18 xx 10^(-18)J)Z^(2))/(n^(2)) "atom"^(-1)`
for `He^(+), n = 1, Z = 2`
`E_(1) =- ((2.18 xx 10^(-18)J)2^(2))/(1^(2)) =- 8.72 xx 10^(-18)J`
The radius of the orbit is given by equation
`r_(n) = ((0.0529 nm)n^(2))/(Z)`
since `n = 1, Z = 2`
`r_(n) = ((0.0529nm)1^(2))/(2) = 0.02645 nm`