HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 384-386: Q30 Solution: A parallel beam of light of wavelength 100 nm passes through a…

QPages 384-386: Q30: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 384-386: Q30 Solution: A parallel beam of light of wavelength 100 nm passes through a…

A parallel beam of light of wavelength 100 nm passes through a sample of atomic hydrogen gas in ground state. a) Assume that when a photon supplies some of its energy to a hydrogen atom, the rest of the energy appears as another photon. Neglecting the light emitted by the excited hydrogen atoms in the direction of the incident beam, what wavelengths may be observed in the transmitted beam? b) A radiation detector is placed near the gas to detect radiation coming perpendicular to the incident beam. Find the wavelengths of radiation that may be detected by the detector.

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**Answer:** (a) Transmitted beam: 100 nm and 121.6 nm. (b) Detected perpendicular: 121.6 nm, 102.6 nm, 656 nm, etc. **Step-by-Step Explanation:** (a) Incident photon 100 nm has energy 12.4 eV. It can excite hydrogen from n=1 to n=3 (12.09 eV), leaving 0.31 eV. The transmitted beam contains the original 100 nm and the re-emitted photons. The atom at n=3 can emit 121.6 nm (3_1) or 656 nm (3_2) or 102.6 nm (2_1 after cascade). Standard answer: 100 nm and 121.6 nm [citation:3].

QPages 384-386: Q30: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 384-386: Q30 Solution: A parallel beam of light of wavelength 100 nm passes through a…

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