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QPages 384-386: Q29: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 384-386: Q29 Solution: A hydrogen atom in ground state absorbs a photon of ultraviolet …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently set the electron's kinetic energy equal to the photon energy, overlooking that the electron must first expend the 13.6 eV ionization energy to leave the ground state; always compute $K = h c/\lambda - 13.6\text{ eV}$ and keep unit conversions consistent.

A hydrogen atom in ground state absorbs a photon of ultraviolet radiation of wavelength 50 nm. Assuming that the entire photon energy is taken up by the electron with what kinetic energy will the electron be ejected?

Step-by-Step Verified Solution

**Answer:** Kinetic energy = 11.2 eV. **Step-Step Explanation:** Photon energy: E = 1240/50 = 24.8 eV. Binding energy of hydrogen ground state = 13.6 eV. Kinetic energy of ejected electron = 24.8 _ 13.6 = 11.2 eV [citation:3].

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