1.

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

Answer» `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 equation (2.15)
`r_(n) = ((0.0529nm)n^(2))/Z`
since n=1 , and Z = 2
` r_(n) =((0.0529 nm)1^(2))/2 = 0.02645 nm `


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