State Bohr’s quantization condition of angular momentum. Calculate the shortest wavelength of the Brackett series and state to which part of the electromagnetic spectrum does it belong.
Answers
State Bohr’s quantization condition of angular momentum. Calculate the shortest wavelength of the Brackett series and state to which part of the electromagnetic spectrum does it belong.
OR
Calculate the orbital period of the electron in the first excited state of hydrogen atom.
Physics - Board Papers
All India - 2019
Answer
Bohr’s quantization condition: The angular momentum of an electron in an orbit around the hydrogen atom has to be an integral multiple of Planck’s constant divided by twice π. Mathematically,
The wavelength can be calculated in case of Brackett series by the formula:
For the wavelength to be shortest, n has to be maximum i.e. ∞ .
Hence,
It is between 700 nm and 1mm which is the range of infrared. Hence, it belongs to the infrared part of the spectrum.