STATEMENT-1`:` A spectral lne will not be seen for a `2p_(x)-2p_(y)` transition.
and
STATEMENT-2 `:` Only Balmer lines are observed in the visible region.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 isTrue, Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False , Statement-2 isTrue

Answer

To analyze the given statements, let's break down the solution step by step:

### Step 1: Understanding Statement 1
**Statement 1:** A spectral line will not be seen for a 2p_x - 2p_y transition.

- **Explanation:** The 2p_x and 2p_y orbitals are degenerate, meaning they have the same energy level. When an electron transitions between two orbitals of the same energy, there is no change in energy (ΔE = 0). Since a spectral line corresponds to the absorption or emission of energy (light), if there is no energy difference, no spectral line will be observed.

### Step 2: Conclusion for Statement 1
- **Conclusion:** Statement 1 is true. A spectral line will not be seen for a 2p_x - 2p_y transition because there is no energy difference between these two orbitals.

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### Step 3: Understanding Statement 2
**Statement 2:** Only Balmer lines are observed in the visible region.

- **Explanation:** The Balmer series refers to the set of spectral lines that result from electronic transitions in hydrogen when electrons fall to the n=2 energy level from higher energy levels (n=3, 4, 5, etc.). These transitions produce visible light. While the Balmer series is the only series that falls within the visible spectrum, it is important to note that other series (like Lyman and Paschen) exist but they do not produce visible lines.

### Step 4: Conclusion for Statement 2
- **Conclusion:** Statement 2 is also true. The Balmer lines are the only spectral lines observed in the visible region of the hydrogen spectrum.

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### Step 5: Relationship Between the Statements
- **Analysis:** Both statements are true, but Statement 2 does not provide a correct explanation for Statement 1. The lack of a spectral line in the 2p_x - 2p_y transition is due to the degeneracy of the orbitals, while the observation of Balmer lines pertains to a different aspect of electronic transitions in hydrogen.

### Final Conclusion
- **Final Answer:** Both Statement 1 and Statement 2 are true, but Statement 2 is not a correct explanation for Statement 1.

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