1v1Dota2RightMeow
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I'm doing a homework problem where it asks to calculate the diameter of a hydrogen atom with n=600. I used the equation $$r=\frac{n^2a_0}{Z}$$ where $$a_0=0.529e^{-10}m$$.
Solving for r yields:
$$r=\frac{(600^2)(0.529e^{-10}m)}{1}=1.90e^{-5}m$$
Multiplying by 2 to get the diameter yields:
$$d=2r=2(1.90e^{-5}m)=3.80e^{-5}m$$
However, the answer given says that d=1.90e^-5m, but how can this be? I know that the equation above yields the radius of an electron's orbit, but why would they claim that it's the diameter? Did I miss something?
Solving for r yields:
$$r=\frac{(600^2)(0.529e^{-10}m)}{1}=1.90e^{-5}m$$
Multiplying by 2 to get the diameter yields:
$$d=2r=2(1.90e^{-5}m)=3.80e^{-5}m$$
However, the answer given says that d=1.90e^-5m, but how can this be? I know that the equation above yields the radius of an electron's orbit, but why would they claim that it's the diameter? Did I miss something?