The radii of the second orbit of the hydrogen atom calculated from Bohr's model is:
Correct answer: C. 2.116 Å
- A. 0.529 Å
- B. 4.8 Å
- C. 2.116 Å
- D. 3.4 Å
- E. 1 Å
Explanation
In Bohr's model, the radius of the nth orbit of a hydrogen atom is given by the formula rn = 0.529 x n²/Z Å, where n is the principal quantum number and Z is the atomic number. For hydrogen, Z = 1. For the second orbit (n=2), the radius is calculated as:r2 = 0.529 x 2²/1 = 0.529 x 4 = 2.116 Å.Therefore, the correct answer is 2.116 Å. The other options are incorrect because they either represent the radius of a different orbit (e.g., 0.529 Å for n=1) or are arbitrary values that do not match the calculation for n=2.
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