Which set of quantum numbers could represent an electron in a $5 f$ orbital?

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$l = 4, m_{l} = 2$

$l = 2, m_{l} = - 3$

$l = 3, m_{l} = 4$

$l = 3, m_{l} = 0$

answer is D.

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Detailed Solution

Quantum numbers could represent an electron in a $5 f$ orbital is $l = 3, m_{l} = 0$ .

It is impossible for the main quantum number (n) to be zero. Therefore, the valid range for n is 1, 2, 3, 4, and so forth. Any integer between 0 and n – 1 may be used as the angular quantum number ( $l$ ). For instance, if n = 3, $l$ can either be 0 or 1 or 2.

Hence, option D is correct.

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