Let T₁ and T₂ be the energy of an electron in the first and second excited states of hydrogen atoms,

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Question

Let T₁ and T₂ be the energy of an electron in the first and second excited states of hydrogen atoms, respectively. According to the Bohr's model of an atom, the ratio T₁ : T₂ is

Accepted Answer

Correct Answer: A - 9 : 4Step-by-step Solution:In Bohr's model, the energy of the electron in the nth orbit is Eₙ = -13.6/n² eV. The first excited state corresponds to n = 2 and the second excited state corresponds to n = 3.T₁ = E₂ = -13.6/4 eV and T₂ = E₃ = -13.6/9 eV.Ratio T₁/T₂ = (1/4)/(1/9) = 9/4. Therefore T₁ : T₂ = 9 : 4.Why other options are incorrect: Option D (4:9) is the inverse. Options B and C correspond to other combinations of energy levels and do not represent first and second excited states.Key Concept: In Bohr's model: Eₙ = -13.6/n² eV. Ground state: n = 1. First excited state: n = 2. Second excited state: n = 3.

Let T₁ and T₂ be the energy of an electron in the first and second excited states of hydrogen atoms, respectively. According to the Bohr's model of an atom, the ratio T₁ : T₂ is

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Let T₁ and T₂ be the energy of an electron in the first and second excited states of hydrogen atoms, respectively. According to the Bohr's model of an atom, the ratio T₁ : T₂ is

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