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Found in: Page 1246

### Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

# An electron in a mercury atom is in the 3d sub-shell. Which of the following ${{\mathbit{m}}}_{{\mathbf{l}}}$ values are possible for it: -3, -1, 0, 1, and 2?

The possible values for 3d the sub-shell of the electron of mercury atom are -1,0,1,2.

See the step by step solution

## Step 1: The given data

An electron in a mercury atom is in the 3d sub-shell.

## Step 2: Understanding the concept of the subshell of an orbital

Using the concept of possible values for the magnetic quantum number that depends on the orbital angular quantum number, we can get the required possible values of the magnetic number.

For every l value of a subshell, we have -l to +I possible m values for the same electron.

## Step 3: Calculation of the possible values of ml

We have an electron of mercury atom in 3d subshell; thus, the value of the orbital quantum number is given by:

$I=2\phantom{\rule{0ex}{0ex}}n=3,f\mathrm{or}\mathrm{the}\mathrm{d}\mathrm{subshell}$

Thus, the possible values of ${m}_{l}$ are: -2,-1,0,1,2.

Hence, the possible values considering the question are -1,0,1,2.