The longest wavelength photon that can be emitted by a hydrogen atom, for which the final state is $n = 9 ,$ is closest to which one of the following values? (c = 3.0 × 10⁸ m/s, $1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J}$ $\left. h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$ A) 39,000 nm B) 22,000 nm C) 7400 nm D) 16,000 nm E) 28,000 nm

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Quizplus · Accepted Answer

The longest wavelength corresponds to the smallest energy transition, which is from $n = 10$ to $n = 9$. Using the Rydberg formula for hydrogen, the wavelength is calculated to be approximately 39,000 nm.

The Longest Wavelength Photon That Can Be Emitted by a Hydrogen