Question

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Answer 1

Choice 3: (2, 1, -2, +1/2) is not allowed

Step-by-step explanation:

Let's first start with the definition the four quantum numbers

The four quantum numbers are (in order in which they appear in the parenthesis):

Number Symbol Possible
Values

Principal Quantum Number
`n`
`1, 2, 3, 4, ...`.

Angular Momentum QN
`l`
`0, 1, 2, 3, .....(n-1)`

Magnetic QN
`m_l`
`-l, .... -1, 0, 1 ...., l`

Spin Quantum Number
`m_s`
`+1/2, -1/2`

These are usually represented as
`(n, l, m_l, m_s)` and in that order

Note:

`l` depends on the value of
`n`

`m_l` depends on the value of
`l`

So to see which set is not allowed from the four choices given in the question, see which of these properties are violated.

Looking at the third choice we see that
`l = 1` and
`m_l = -2`
But
`m_l` minimum value is -
`-l` which should be -1 and nothing below that value Since -2 < -1,this property is violated and therefore is an invalid set

Answer: Choice 3: (2, 1, -2, +1/2) is not allowed

Answer 2

`\quad \huge \quad \quad \boxed{ \tt \:Answer }`

`\qquad \texttt {The third choice is not possible }`

____________________________________

`\large \tt Solution \: :`

The value of m can vary from " -l to l "

and since l = 1,m can vary from " -1 to 1 " so the value -2 is not possible here.

So, the quantum number (4, 1, -1, -1/2) is not possible.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞