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Out of the following pairs of electrons, identify the pairs of electrons present in degenerate orbitals :

i) (a) n=3,\; l=2,\; m_{l}=-2,m_{s}=-\frac{1}{2}

   (b)n=3,\; l=2,\; m_{l}=-1,m_{s}=-\frac{1}{2}

ii) (a) n=3,\; l=1,\; m_{l}=1,m_{s}=+\frac{1}{2}

     (b) n=3,\; l=2,\; m_{l}=1,m_{s}=+\frac{1}{2}

iii) (a) n=4,\; l=1,\; m_{l}=1,m_{s}=+\frac{1}{2}

     (b) n=3,\; l=2,\; m_{l}=1,m_{s}=+\frac{1}{2}

iv) (a) n=3,\; l=2,\; m_{l}=+2,m_{s}=-\frac{1}{2}

      (b) n=3,\; l=2,\; m_{l}=+2,m_{s}=+\frac{1}{2}

Answers (1)

The answers are the options (i) and (iv) because the degenerate orbitals have the same n and l values. Herein, the other two options have different values of n and l; therefore they cannot possess similar energy.

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