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Question

Chemistry Question on Structure of atom

The radius of the third bohr orbit for H2 is?

Answer

According to the Bohr model, the radius of the nth orbit for a hydrogen atom can be calculated using the formula:
rn = 0.529 n2Z\frac{0.529 \ n^2}{Z}
In this case, the third orbit corresponds to n = 3,
Z = 1 (for hydrogen).
Plugging in the values, we get:
r3 = 0.529  321\frac{0.529\ *\ 3^2}{1}
r3 = 0.529 91\frac{0.529\ * 9}{1}
r3 = 4.761 Å
Therefore, the radius of the third Bohr orbit for a hydrogen atom (and thus the H2 molecule) is approximately 4.761 Å.