Consider the following set of quantum numbers.
| n | 1 | m$_1$ | |
|---|---|---|---|
| A. | 3 | 3 | $-$3 |
| B. | 3 | 2 | $-$2 |
| C. | 2 | 1 | +1 |
| D. | 2 | 2 | +2 |
The number of correct sets of quantum numbers is __________.
Answer (integer)
2
Solution
<p><b>For A</b>,</p>
<p>Given n = 3 and l = 3</p>
<p>but we know maximum value of l = n $-$ 1.</p>
<p>$\therefore$ l can't be equal to n.</p>
<p>So, Set A of quantum numbers is not possible.</p>
<p><b>For B</b>,</p>
<p>Given n = 3, l = 2, m = $-$ 2</p>
<p>Here, l = 2 which follow the rule l = n $-$ 1.</p>
<p>And we know possible value of m is $-$ l to + l.</p>
<p>here possible value of m = $-$2 to +2</p>
<p>$\therefore$ This Set B is valid set of quantum numbers.</p>
<p><b>For C</b>,</p>
<p>Given n = 2, l = 1, m = +1</p>
<p>Here l = 1 which follows the rule l = n $-$ 1.</p>
<p>For l = 1 possible value of m = $-$1 to +1</p>
<p>Here m = +1. So value of m is valid.</p>
<p>$\therefore$ Set C is valid set of quantum numbers.</p>
<p><b>For D</b>,</p>
<p>Given n = 2, l = 2, m = +2</p>
<p>l = 2 does not follow the rule l = n $-$ 1 rule.</p>
<p>$\therefore$ Set D is not valid set of quantum numbers.</p>
About this question
Subject: Chemistry · Chapter: Atomic Structure · Topic: Bohr's Model
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