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Quantum Numbers

Which one of ...

Question

Which one of the following represents an impossible arrangement?

n = 3, l = 2, m = - 2, s = 1 / 2

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n = 4, l = 0, m = 0, s = 1 / 2

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n = 3, l = 2, m = - 3, s = 1 / 2

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n = 5, l = 3, m = 0, s = 1 / 2

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Solution

The correct option is D $n = 3, l = 2, m = - 3, s = 1 / 2$
$n = 3, l = 2, m = - 3, s = 1 / 2$ represents an impossible arrangement.
When $l = 2$ , $m$ cannot be equal to $- 3$ .
For a given value of $l, m$ can have values $- l, . . . . . 0 . . . . + l$

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Similar questions

n = 4, l = 0, m = 0, s = + \frac{1}{2}

n = 3, l = 1, m = 1, s = - \frac{1}{2}

n = 3, l = 2, m = 0, s = + \frac{1}{2}

n = 3, l = 0, m = 0, s = - \frac{1}{2}

n = 4, l = 0, m_{l} = 0, m_{s} = + \frac{1}{2}

n = 3, l = 1, m_{l} = 1, m_{s} = - \frac{1}{2}

n = 3, l = 2, m_{l} = 0, m_{s} = + \frac{1}{2}

n = 3, l = 0, m_{l} = 0, m_{s} = - \frac{1}{2}

n = 4, l = 0, m = 0, s = + \frac{1}{2}

n = 3, l = 2, m = + 1, s = - \frac{1}{2}

n = 3, l = 2, m = - 1, s = + \frac{1}{2}

n = 3, l = 1, m = 0, s = + \frac{1}{2}

n = 5, l = 2, m = + 1, s = - \frac{1}{2}

n = 4, l = 0, m = 0, s = + \frac{1}{2}

n = 3, l = 1, m = 1, s = - \frac{1}{2}

n = 3, l = 2, m = 0, s = + \frac{1}{2}

n = 3, l = 0, m = 0, s = - \frac{1}{2}

n = 4, l = 2, m_{1} = - 2, m_{s} = - 1 / 2

n = 3, l = 2, m_{1} = 1, m_{s} = + 1 / 2

n = 4, l = 1, m_{1} = 0, m_{s} = + 1 / 2

n = 3, l = 2, m_{1} = - 2, m_{s} = - 1 / 2

n = 3, l = 1, m_{1} = - 1, m_{s} = + 1 / 2

n = 4, l = 1, m_{1} = 0, m_{s} = + 1 / 2

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