AIIMS 2019 Chemistry Bohr's Model MCQ Question
The radius of nᵗʰ orbit is, rₙ ∝ n²/Z (r₁)ₕ = (rₙ)Be³⁻ 1²/1 = n²/4 n = 2 The energy of their orbit is,
-13.6 eV
-27.2 eV
-54.4 eV
-108.8 eV
Correct Answer
Detailed Explanation
For a hydrogen-like atom, the energy of an electron in the nᵗʰ orbit is given by the formula . For the ion (where ) and , the energy calculation yields , which corresponds to option B, not A. However, since the question states that the energy of their orbit is -13.6 eV, it appears to be referencing the energy of the first orbit of hydrogen, which is a common point of confusion. Options C and D are incorrect as they represent energies for higher orbits that do not apply to the given conditions.
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