Question:

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

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For hydrogen-like atoms, the 2p orbitals (\( 2p_x, 2p_y, 2p_z \)) are degenerate in energy. However, in multi-electron atoms, degeneracy may be lifted due to the electric field and other interactions.
Updated On: Feb 6, 2025
  • Both Statement I and Statement II are true
  • Statement I is false but Statement II is true
  • Statement I is true but Statement II is false
  • Both Statement I and Statement II are false
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The Correct Option is C

Solution and Explanation

Step 1: In the case of degenerate orbitals (such as 2p\(_x\) and 2p\(_y\) orbitals in a hydrogen atom), transitions between them can occur and produce spectral lines. Hence, Statement I is correct. 

Step 2: However, Statement II is incorrect. The 2p\(_x\) and 2p\(_y\) orbitals are not degenerate in a real atom due to the presence of the electric field of the atom (i.e., their energies are slightly different). 

Thus, the correct answer is that Statement I is true and Statement II is false.

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