Q. 29

Expert-verifiedFound in: Page 1207

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 .

Fourth excited state means

Wavelength,

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

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