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`
`((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) = 0.0963.2645nm`