Question:
(a) State Bohr's postulates for the hydrogen atom.
(b) A hydrogen atom de-excites from level n to (n-1). Show that emitted frequency ν ∝ α/n³ for large n (α = constant).
(a) State Bohr's postulates for the hydrogen atom.
(b) A hydrogen atom de-excites from level n to (n-1). Show that emitted frequency ν ∝ α/n³ for large n (α = constant).
(b) A hydrogen atom de-excites from level n to (n-1). Show that emitted frequency ν ∝ α/n³ for large n (α = constant).
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(a) Quantized orbits, angular momentum, and energy. (b) Energy difference and frequency.
Updated On: Jan 13, 2026
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Solution and Explanation
(a) 1. Electrons orbit in stationary orbits without radiating energy. 2. Angular momentum is quantized: mvr = nħ. 3. Energy emitted/absorbed during transitions: ΔE = E₂ - E₁ = hν. (b) E_n = -13.6/n² eV. ΔE = E_(n-1) - E_n ≈ 13.6(2/n³) for large n. ν = ΔE/h ∝ 1/n³.
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