For a particular element, the measured Kα photon energy is 8.10 keV. In the simplified model, ν(Kβ) ÷ ν(Kα) = 32 ÷ 27. What Kβ photon energy is predicted?
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Question

For a particular element, the measured Kα photon energy is 8.10 keV. In the simplified model, ν(Kβ) ÷ ν(Kα) = 32 ÷ 27. What Kβ photon energy is predicted?

G1 Physics · Accepted Answer

Photon energy is directly proportional to frequency: E = hν. Therefore, E(Kβ) ÷ E(Kα) = ν(Kβ) ÷ ν(Kα) = 32 ÷ 27. Thus, E(Kβ) = 8.10×32 ÷ 27 = 9.60 keV. Correct option: C.