Question

1. explain what is incorrect with respect to the following set of quantum numbers: n = 3, l = 3, m, = -1

Explanation:

In quantum mechanics, the principal quantum number \( n = 3 \). The angular - momentum quantum number \( l \) has values \( l=0,1,2,\cdots,n - 1 \). So when \( n = 3 \), \( l \) can be \( 0,1,2 \), but \( l = 3 \) is incorrect because \( l\) must satisfy \( l\leq n-1\).

Answer:

The value of \( l = 3 \) is incorrect. For a given \( n = 3 \), the possible values of \( l\) are \( 0,1,2\) (since \( l = 0,1,\cdots,n - 1\)).