For H-atom which pair of sub-shell has same energy
A) 1s, 2s
B) 2s, 2p
C) 3p, 4d
D) 4p, 6d
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Answer:
Correct option is
C
3d, 4p
D
5p, 4d
According to this,
n+l rule,
3d and 4p have same energy as
3+2 =5 4+1 =5
similarly 4d and 5p have same energy.
Explanation:
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None of the given pairs have the same energy.
- The energy of a sub-shell can be determined using the formula n+l, where n is the principal quantum number and l is the azimuthal quantum number.
- The value of n is the value of the shell number whereas, the value of l is 0 for s-orbital, 1 for p-orbital, 2 for d-orbital, and 3 for d-orbital.
- Hence energy of a subshell is formulated as n + l.
Option A:
- 1s has n, l values 1, 0 respectively, the n+l value is 1.
- 2s has n, l values 2, 0 respectively, the n+l value is 2.
- Hence, they do not have the same energy.
Option B:
- 2s has n, l values 2, 0 respectively, the n+l value is 2.
- 2p has n, l values 2, 1 respectively, the n+l value is 3.
- Hence, they do not have the same energy.
Option C:
- 3p has n, l values 3, 1 respectively, the n+l value is 4.
- 4d has n, l values 4, 2 respectively, the n+l value is 6.
- Hence, they do not have the same energy.
Option D:
- 4p has n, l values 4, 1 respectively, the n+l value is 5.
- 6d has n, l values 6, 2 respectively, the n+l value is 8.
- Hence, they do not have the same energy.
Therefore, Of the given pairs none of the pairs has the same energies.
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