Question Details

or a given principal level n = 4, the energy of its subshells is in the order

Options

A

s < p < d < f

B

s > p > d > f

C

s < p < f < d

D

f < p < d < s

Correct Answer :

s < p < d < f

Solution :

The correct option is s < p < d < f.

To understand why this order is correct, we can look at the factors that determine the energy of subshells within a given principal quantum shell (where the principal quantum number is n).
For a multi-electron atom, the energy of an orbital (or subshell) depends on both the principal quantum number (n) and the azimuthal quantum number (l). This is described by the Bohr-Bury n+l rule:
1. Subshells with a lower value of n+l have lower energy.
2. If two subshells have the same value of n+l, the one with the lower value of n has lower energy.

For a given principal quantum level n=4, we have four subshells corresponding to different values of the azimuthal quantum number l:
• For the s subshell: l=0, so n+l=4+0=4
• For the p subshell: l=1, so n+l=4+1=5
• For the d subshell: l=2, so n+l=4+2=6
• For the f subshell: l=3, so n+l=4+3=7

Comparing the n+l values, we get:
4<5<6<7
Therefore, the energy of the subshells increases as the azimuthal quantum number l increases.

This results in the following energy order for the subshells of the n=4 shell:
s < p < d < f

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