Problem: Given that the wavelength of the observed red band for hydrogen is 656.8 nm with uncertainty 0.11 nm, use the wavelength to calculate the energy of the corresponding photons in electron volts and the uncertainty in transition energy. Use the energy and its uncertainty to determine which transitions (from initial energy level ni to nf) your data is consistent with.

FREE Expert Solution

The energy of a photon:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{h}\mathbf{c}}{\mathbf{\lambda }}}$

Uncertainty in wavelength and energy are related by

$\overline{)\frac{\mathbf{∆}\mathbf{E}}{\mathbf{E}}{\mathbf{=}}\frac{\mathbf{∆}\mathbf{\lambda }}{\mathbf{\lambda }}}$

Plank's constant, h = 6.62 × 10-34 J/s

Speed of light, c = 3.0 × 108 m/s

1eV = 1.6 × 10-19 J

Problem Details

Given that the wavelength of the observed red band for hydrogen is 656.8 nm with uncertainty 0.11 nm, use the wavelength to calculate the energy of the corresponding photons in electron volts and the uncertainty in transition energy. Use the energy and its uncertainty to determine which transitions (from initial energy level ni to nf) your data is consistent with.

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