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Q. 29

Expert-verified
Found in: Page 1207

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A hydrogen atom in its fourth excited state emits a photon with a wavelength of nm. What is the atom’s maximum possible orbital angular momentum (as a multiple of ) after the emission?

Maximum possible orbital angular momentum is .

See the step by step solution

## Step 1 :  Given information

Fourth excited state means

Wavelength,

## Step 2 :  Simplification

Using Formula , , where is the wavelength , is rydberg constant , is the final orbital of electron , is the initial orbital of electron , is atomic no

Now for hydrogen

Now , Putting all the values in the formula we get

Solving it we get

It means transition

Now , we know that orbital angular momentum is

Now after emmision we have

So, the maximum angular momentum comes out to be