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

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

G1 Physics · Accepted Answer

The first excited state is n = 2; the second excited state is n = 3. The magnitude of energy or kinetic energy is proportional to 1/n². Thus T₁/T₂ = (1/2²)/(1/3²) = 9/4. Answer: D.