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According to the Borh theory the radius of the hydrogen atom to the n state is:

Rn = (n^2)*ao ; where ao = 0.0529 x 10^-9 m

So for n = 9 then we have:

R9 = (9^2)*(0.0529 x 10^-9 m) = (81)*(0.0529 x 10^-9 m) = 4.2849 x 10^-9 m

Final answer: R9 = 4.28 x10^-9 m, so it's option A.

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