Verified Solution • 2025–26 Session moderate

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 nn have the same energy. In other words,

Enℓ depends only on n, and not on ℓ.E_{n\ell} \text{ depends only on }n\text{, and not on }\ell.

Hence, the energy ordering for hydrogen‐like atoms follows

1s \;&lt;\; 2s = 2p \;&lt;\; 3s = 3p = 3d \;&lt;\; 4s = 4p = 4d = 4f \;&lt;\;\dots


Analyzing Each Statement

We check each statement against the true ordering for the hydrogen atom.

(A) \;1s &lt; 2p &lt; 3d &lt; 4s

Because 2p2p is an n=2n=2 orbital, 3d3d is n=3n=3 , and 4s4s is n=4n=4 , this partial ordering

E(1s) \;&lt;\; E(2p) \;&lt;\; E(3d)\;&lt;\; E(4s)

is consistent with the fact that n=1 &lt; n=2 &lt; n=3 &lt; 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 &lt; E_2 &lt; E_3 &lt; E_4 .

So (A) is correct for hydrogen’s energy levels as stated.

(B) \;1s &lt; 2s = 2p &lt; 3s = 3p

For hydrogen, indeed 2s=2p2s=2p in energy, and also 3s=3p=3d3s=3p=3d .

The statement does not mention 3d, but it does correctly say 3s=3p3s=3p . That part is still true for hydrogen.

So for the orbitals it listed, (B) is also correct.

(C) \;1s &lt; 2s &lt; 2p &lt; 3s &lt; 3p

This is the kind of ordering that appears in many‐electron atoms (where subshell splitting occurs).

But for a hydrogen atom, 2s2s and 2p2p have exactly the same energy, so 2s&lt;2p is not correct.

Hence (C) is not correct for hydrogen.

(D) \;1s &lt; 2s &lt; 4s &lt; 3d

In multi‐electron atoms (e.g. the usual “(n+ ℓ\ell ) rule”), often 4s4s is lower than 3d3d .

But for hydrogen, all orbitals with n=3n=3 lie below all orbitals with n=4n=4 . That is, 3d3d is lower in energy than 4s4s .

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:

Option (D): (C) and (D) only.\boxed{\text{Option (D): (C) and (D) only.}}

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