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IP Rydberg Atoms There is no limit to the size a hydrogen
Chapter 31, Problem 84GP(choose chapter or problem)
Problem 84GP
IP Rydberg Atoms There is no limit to the size a hydrogen atom can attain, provided it is free from disruptive outside influences. In fact, radio astronomers have detected radiation from large, so-called "Rydberg atoms" in the diffuse hydrogen gas of interstellar space. (a) Find the smallest value of n such that the Bohr radius of a single hydrogen atom is greater than 8.0 microns, the size of a typical single-celled organism. (b) Find the wavelength of radiation this atom emits when its electron drops from level n to level n −1. (c) If the electron drops one more level, from n − 1 to n − 2,is the emitted wavelength greater than or less than the value found in part (b)? Explain.
Questions & Answers
QUESTION:
Problem 84GP
IP Rydberg Atoms There is no limit to the size a hydrogen atom can attain, provided it is free from disruptive outside influences. In fact, radio astronomers have detected radiation from large, so-called "Rydberg atoms" in the diffuse hydrogen gas of interstellar space. (a) Find the smallest value of n such that the Bohr radius of a single hydrogen atom is greater than 8.0 microns, the size of a typical single-celled organism. (b) Find the wavelength of radiation this atom emits when its electron drops from level n to level n −1. (c) If the electron drops one more level, from n − 1 to n − 2,is the emitted wavelength greater than or less than the value found in part (b)? Explain.
ANSWER:
Step 1 of 4
Here we have to calculate the state and wavelength of the emitted radiation.
The equation to calculate the wavelength is,
Where, 
