Question

Calculate the degeneracy of the level of the hydrogen atom having energy – RH / 25.​

Answer 1

Explanation:

Energy in H-atom

E=

n

2

R

H

But, given that E=

9

R

H

⇒n

2

=9

n=3

As here n=3 thus there are 3 orbits.

In general, for any energy level n, the degeneracy is given by n2

So when n= 3, the degeneracy is 9.

When n=3, the possible combinations of (n,l.m) are (3, 2, -2), (3,2, -1), (3, 2, 0), (3, 2, 1), (3, 2, 2), (3, 1, -1), (3, 1, 0), (3, 1, 1), and (3, 0, 0)

Hence D is the correct answer.

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