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∙ 14y agoThe energy difference between two energy states of a Rydberg hydrogen atom is given by the formula: ΔE = 13.6 eV * (1/n_initial^2 - 1/n_final^2), where n_initial and n_final are the initial and final quantum numbers, respectively. Given that the energy of the photon emitted is 9.32 μeV, we convert this to electron volts (eV) and use it to calculate n_initial. Substituting the values, we find that the original state was n equals 229.
You can calculate the wavelength of light emitted from a hydrogen atom using the Rydberg formula: 1/λ = R(1/n₁² - 1/n₂²), where λ is the wavelength, R is the Rydberg constant, and n₁ and n₂ are the initial and final energy levels of the electron.
Use the Rydberg formula. A useful article about this is on Wikipedia. It is called "Hydrogen spectral series".
The energy difference between the initial and final states can be calculated using the Rydberg formula. Once the energy is known, you can use the relationship E = hc/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon. Solving for λ will give you the wavelength of the photon emitted during the transition.
The hydrogen line emission spectrum was discovered by physicists Johann Balmer, Johannes Rydberg, and Niels Bohr. They observed that hydrogen gas emitted specific wavelengths of light, which formed a distinct spectrum now known as the Balmer series.
For a hydrogen-like atom with atomic number Z, the energy of the electron in the ground state can be calculated using the formula E = -Z^2 * 13.6 eV. For Z = 4, the energy would be E = -4^2 * 13.6 eV = -230.4 eV. Thus, the energy of the electron in the ground state of a hydrogen-like atom with Z = 4 would be -230.4 eV.
The wavelength of a transition from n=5 to n=3 in hydrogen-like atoms can be calculated using the Rydberg formula: 1/λ = R(1/n₁² - 1/n₂²), where R is the Rydberg constant. The transition will result in the emission of a photon with a wavelength in the ultraviolet region.
Rydberg
The formula parallel to Rydberg's formula used in Bohr's theory of the emission spectrum of the hydrogen atom is the Balmer Series. See related link for more information.
The wavelength of the photon can be calculated using the Rydberg formula: 1/λ = R(1/4^2 - 1/n^2), where R is the Rydberg constant. Substituting n=4, the calculation gives a wavelength of approximately 97.2 nm.
You can calculate the wavelength of light emitted from a hydrogen atom using the Rydberg formula: 1/λ = R(1/n₁² - 1/n₂²), where λ is the wavelength, R is the Rydberg constant, and n₁ and n₂ are the initial and final energy levels of the electron.
Ivar Rydberg died in 1929.
Ivar Rydberg was born in 1885.
Mattias Rydberg was born in 1985.
Sam Rydberg died in 1956.
Sam Rydberg was born in 1885.
Ernfrid Rydberg died in 1976.
Ernfrid Rydberg was born in 1896.