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The radius of the second Bohr orbit for hydrogen atom is - (Planck's Const. h = 6.6262 × 10⁻³⁴ Js; mass of electron = 9.1091 × 10⁻³¹ kg; charge of electron e = 1.6021 × 10⁻¹⁹ C; permittivity of vacuum ε0 = 8.854185 × 10⁻¹² kg⁻¹ m⁻³ A²)
- 0.529 Å
- 2.12 Å
- 1.65 Å
- 7.76 Å
Correct answer: 2.12 Å
Solution
The radius of the second Bohr orbit for a hydrogen atom is determined by the formula rₙ = n² * (h² / (4 * π² * m * e²)), where n is the principal quantum number. For n=2, this calculation yields approximately 2.12 Å, making it the correct answer.
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