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QPages 384-386: Q9: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 384-386: Q9 Solution: A group of hydrogen atoms are prepared in states. List the…

A group of hydrogen atoms are prepared in n=4n = 4 states. List the wavelength that are emitted as the atoms make transitions and return to n=2n = 2 states.

Step-by-Step Verified Solution

**Answer:** The wavelengths emitted are 486 nm, 656 nm, and 1875 nm (or 121.6 nm for Lyman series). **Step-by-Step Explanation:** Atoms in n = 4 can decay to n = 2 through various paths: - Direct: n=4 _ n=2 (486 nm) - Via n=3: n=4 _ n=3 (1875 nm), then n=3 _ n=2 (656 nm) - Via n=1: n=4 _ n=1 (97.2 nm), then n=1 _ n=2 (121.6 nm, but this is absorption, not emission) The emissions to n=2 are: 486 nm (4_2) and 656 nm (3_2). Also 1875 nm (4_3) is emitted but it's not to n=2. The question asks for wavelengths emitted as atoms make transitions and return to n=2 states [citation:3].

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