Part a

calculate the magnitude of the maximum orbital angular momentum lmax for an electron in a hydrogen atom for states with a principal quantum number of 7.

express your answer in units of ℏ to three significant figures.

part b

calculate the magnitude of the maximum orbital angular momentum lmax for an electron in a hydrogen atom for states with a principal quantum number of 26.

express your answer in units of ℏ to three significant figures.

part c

calculate the magnitude of the maximum orbital angular momentum lmax for an electron in a hydrogen atom for states with a principal quantum number of 191.

express your answer in units of ℏ to three significant figures.

Explanation:

A )

ℏ

where l is orbital quantum number

l = n-1 where n is principal quantum no

Given n = 7

l = 7 - 1 = 6

ℏ

= 6.48ℏ

B)

Here

n = 26

l = 26 - 1

= 25

ℏ

= 25.49ℏ

= 25.5ℏ

C )

n = 191

l = 191 - 1

190

= 190.499ℏ

= 191ℏ

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