MCQEasyJEE 2025Orbitals & Shapes

JEE Chemistry 2025 Question with Solution

Given below are two statements: Statement (I): *A spectral line will be observed for a 2px2py2p_x \rightarrow 2p_y transition. Statement (II): *2px2p_x and 2py2p_y are degenerate orbitals. In the light of the above statements, choose the correct answer from the options given below:

  • A

    Both Statement I and Statement II are true

  • B

    Statement I is false but Statement II is true

  • C

    Statement I is true but Statement II is false

  • D

    Both Statement I and Statement II are false

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given:

  • Statement (I): A spectral line will be observed for a 2px2py2p_x \rightarrow 2p_y transition.
  • Statement (II): 2px2p_x and 2py2p_y are degenerate orbitals.

Find: Which statement combination is correct.

A spectral line is observed only when a transition involves a non-zero energy difference so that a photon is emitted or absorbed.

Here, 2px2p_x and 2py2p_y are degenerate orbitals, so their energies are equal.

ΔE=E(2py)E(2px)=0\Delta E = E(2p_y) - E(2p_x) = 0

Since ΔE=0\Delta E = 0, no photon is emitted or absorbed for the 2px2py2p_x \rightarrow 2p_y transition. Therefore, Statement (I) is false.

Also, 2px2p_x and 2py2p_y belong to the same 2p2p subshell and are degenerate in energy. Therefore, Statement (II) is true.

Hence, the correct option is B: Statement I is false but Statement II is true.

Concept-Based Explanation

Given: The question asks about a possible spectral line for transition between 2px2p_x and 2py2p_y and about degeneracy of these orbitals.

Find: Truth values of Statement (I) and Statement (II).

Spectral lines arise from transitions between states having different energies. The photon energy is given by

ΔE=hν\Delta E = h\nu

For 2px2p_x and 2py2p_y, the energy is the same because these orbitals are degenerate.

E(2px)=E(2py)E(2p_x) = E(2p_y)

Thus,

ΔE=0\Delta E = 0

So, no radiation corresponding to a spectral line is produced for a transition between them. This makes Statement (I) false.

Since orbitals with the same energy are called degenerate orbitals, Statement (II) is true.

Therefore, the correct option is B.

Common mistakes

  • Assuming any orbital-to-orbital transition produces a spectral line. This is wrong because a spectral line requires a non-zero energy difference. Check whether ΔE0\Delta E \neq 0 before concluding that radiation is emitted or absorbed.

  • Confusing different orientations of pp orbitals with different energies. This is incorrect for degenerate orbitals in the same subshell. Treat 2px2p_x and 2py2p_y as equal in energy unless a condition explicitly breaks the degeneracy.

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