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

Explanation

`E_(n)=((2.18xx10^(-18)J)Z^(2))/(n^(2))"atom"^(-1)`
For `"He"^(+),n=1,Z=2`
`E_(1)=((2.18xx10^(-18)J)2^(2))/(1^(2))=-8.72xx10^(-18)J`
The radius of the orbit is given by
`r_(n)=((0.0529"nm")n^(2))/(Z)`
Since n = 1 and z = 2
`r_(n)=((0.0529"nm")1^(2))/(2)=0.02645"nm"`