The Cesium Clock's Secret · AI Generator #GEN-9C2E1E19

Physics · modern-physics

Problem

A precision atomic clock uses the hyperfine transition in cesium-133 atoms, where electrons flip their spin relative to the nucleus. This transition has a frequency of f=9.192631770×109  Hzf = 9.192631770 \times 10^9\;\text{Hz}. During the calibration process, engineers need to determine the momentum of the photons emitted during this transition to account for recoil effects on the atoms. Find the momentum of a single photon emitted during the cesium hyperfine transition. Express your answer in SI units. *Note: Use h=6.626×10−34  J⋅sh = 6.626 \times 10^{-34}\;\text{J·s} and c=3.00×108  m/sc = 3.00 \times 10^8\;\text{m/s}.*

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