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:

• 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

Hint:

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.

Answer 1

The Correct Option is C

Step 1: Transitions between degenerate orbitals (e.g., 2p\(_x\) and 2p\(_y\) in a hydrogen atom) can yield spectral lines. Therefore, Statement I is accurate.

Step 2: Conversely, Statement II is inaccurate. In a real atom, the 2p\(_x\) and 2p\(_y\) orbitals are not degenerate because the atom's electric field causes slight energy differences.

Consequently, Statement I is true, and Statement II is false.