QJEEM25Ch6144: JEE Main 2025 Chemistry - Class 11 JEEM25Ch6144 Solution: Which of the following is/are not correct with respect to…
Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom?
(A) 1s < 2p < 3d < 4s
(B) 1s < 2s = 2p < 3s = 3p
(C) 1s < 2s < 2p < 3s < 3p
(D) 1s < 2s < 4s < 3d
Choose the correct answer from the options given below :
Multiple Choice Options
- A (A) and (B) only
- B (A) and (C) only
- C (B) and (D) only
- D (C) and (D) only
Step-by-Step Verified Solution
First, recall the key fact that for a hydrogen atom (and hydrogen‐like ions), all orbitals having the same principal quantum number have the same energy. In other words,
Hence, the energy ordering for hydrogen‐like atoms follows
1s \;<\; 2s = 2p \;<\; 3s = 3p = 3d \;<\; 4s = 4p = 4d = 4f \;<\;\dots
Analyzing Each Statement
We check each statement against the true ordering for the hydrogen atom.
(A) \;1s < 2p < 3d < 4s
Because is an orbital, is , and is , this partial ordering
E(1s) \;<\; E(2p) \;<\; E(3d)\;<\; E(4s)
is consistent with the fact that n=1 < n=2 < n=3 < n=4 .
Even though hydrogen also has 2s degenerate with 2p, and 3s and 3p degenerate with 3d, nothing in (A) contradicts the correct order E_1 < E_2 < E_3 < E_4 .
So (A) is correct for hydrogen’s energy levels as stated.
(B) \;1s < 2s = 2p < 3s = 3p
For hydrogen, indeed in energy, and also .
The statement does not mention 3d, but it does correctly say . That part is still true for hydrogen.
So for the orbitals it listed, (B) is also correct.
(C) \;1s < 2s < 2p < 3s < 3p
This is the kind of ordering that appears in many‐electron atoms (where subshell splitting occurs).
But for a hydrogen atom, and have exactly the same energy, so 2s<2p is not correct.
Hence (C) is not correct for hydrogen.
(D) \;1s < 2s < 4s < 3d
In multi‐electron atoms (e.g. the usual “(n+ ) rule”), often is lower than .
But for hydrogen, all orbitals with lie below all orbitals with . That is, is lower in energy than .
So (D) is not correct for hydrogen.
Conclusion
(C) and (D) are not correct for the hydrogen atom.
(A) and (B) are correct.
Hence the final answer matches the choice stating:
(C) and (D) only are not correct.
Looking at the given options, that is: