Hydrogen Spectrum — Prelims Questions

An electron in a hydrogen atom makes a transition from $n=4$ to $n=2$. What is the wavelength of the emitted radiation? (Given: Rydberg constant $R = 1.097 \times 10^7 \text{ m}^{-1}$)

Which of the following transitions in the hydrogen atom will emit a photon of the highest energy?

The series limit of the Lyman series for hydrogen atom is $91.2\,\text{nm}$. What is the series limit of the Balmer series?

Which of the following spectral series of the hydrogen atom lies entirely in the infrared region?

The shortest wavelength of the Paschen series in the hydrogen spectrum is approximately (Given: Rydberg constant $R = 1.097 \times 10^7 \text{ m}^{-1}$)

The energy required to excite an electron from the ground state to the first excited state in a hydrogen atom is: