Question
Hard
Solving time: 4 mins
Hydrogen atom in its ground state is excited by means of monochromatic radiation of wavelength . How many different lines are possible in the resulting spectrum? Calculate the longest wavelength amongst them. You may assume the ionization energy for hydrogen atom as .
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Text solutionVerified
Energy corresponding to given wavelength
in
Now, let the electron excites to energy state. Then,
i.e. electron excites to 4th energy state. Total number of lines in emission spectrum would be
Longest wavelength will correspond to the minimum energy and minimum energy is released in transition from to .
Longest wavelength will be,
in
Now, let the electron excites to energy state. Then,
i.e. electron excites to 4th energy state. Total number of lines in emission spectrum would be
Longest wavelength will correspond to the minimum energy and minimum energy is released in transition from to .
Longest wavelength will be,
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Question Text | Hydrogen atom in its ground state is excited by means of monochromatic radiation of wavelength . How many different lines are possible in the resulting spectrum? Calculate the longest wavelength amongst them. You may assume the ionization energy for hydrogen atom as . |
Updated On | Mar 3, 2023 |
Topic | Atoms |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 Video solution: 1 |
Upvotes | 202 |
Avg. Video Duration | 7 min |