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#energy level

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Bohr Model Energy Levels and Hydrogen Spectrum

A hydrogen atom in the ground state is bombarded with a 12.5 eV electron beam. What is the maximum energy level the elec

**Excitation** energy required to go from n=1 to n=3 is 12.09 eV, from ground to n=∞ ionization 13.6 eV, state n=∞ means ionized, electron free with zero energy, highest level reached by electron beam energy determines which levels can be excited, e.g., 11 eV beam from ground can reach n=2 (10.2 eV) but not n=3 (12.09 eV), so max n=2. E₁ = -13.6 eV . E_n = -13.6 + 12.5 = -1.1 eV . -1.1 = -(13.6/n²) ⇒ n² ≈ 12.36 ⇒ n = 3 (since E₃ = -1.51 eV < -1.1 eV , n = 3 ). Using E_n = -13.6/n² eV, r_n =

Ref: NCERT > Physics Book > Atoms and Nuclei > Bohr Model Energy Levels and Hydrogen Spectrum

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Atomic Models - Rutherford, Thomson and Bohr

In the Bohr model, what is the ground state of a hydrogen atom?

**Rutherford's nuclear model** atom has small massive positively charged nucleus with electrons orbiting, size ratio atomic to nuclear ~10⁵, nucleus ~10⁻¹⁵ m atom ~10⁻¹⁰ m, most alpha particles with large impact parameter pass undeflected, small fraction >90° scatter from close approach, centripetal force provided by Coulomb attraction k Z e²/r², fails to explain stability because accelerating charge should radiate and collapse. The ground state is the lowest energy state, where the electron is in the orbit with n = 1 , having an energy of -13.6 eV. Using E_n = -13.6/n² eV, r_n = n² a₀, L = n

Ref: NCERT > Physics Book > Atoms and Nuclei > Atomic Models - Rutherford, Thomson and Bohr

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