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If the radius of the first Bohr orbit is x then the radius of the third orbit would be
All you need to know in order to answer this question is that the radius of an orbit depends on the principal quantum number, n, that describes the energy level on which the electron is located.If you take a0 to be the Bohr orbit, you can say that you havern=n2⋅a0In your case, the third orbit is characterized byn=3so you will haver3=32⋅a0=9⋅a0
All you need to know in order to answer this question is that the radius of an orbit depends on the principal quantum number, n, that describes the energy level on which the electron is located.
If you take a0 to be the Bohr orbit, you can say that you have
rn=n2⋅a0
In your case, the third orbit is characterized by
n=3
so you will have
r3=32⋅a0=9⋅a0
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