For an element, the Kα wavelength is 0.200 nm. Using the simplified K-series relation ν(Kγ) ÷ ν(Kα) = 5 ÷ 4, if the Kγ wavelength is (N ÷ 1000) nm, find N.
Physics · Atomic Structure and X-rays · x-rays and its types
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Question

For an element, the Kα wavelength is 0.200 nm. Using the simplified K-series relation ν(Kγ) ÷ ν(Kα) = 5 ÷ 4, if the Kγ wavelength is (N ÷ 1000) nm, find N.

G1 Physics · Accepted Answer

Because frequency and wavelength are inversely proportional, λ(Kγ) ÷ λ(Kα) = ν(Kα) ÷ ν(Kγ) = 4 ÷ 5. Therefore, λ(Kγ) = 0.200×4 ÷ 5 = 0.160 nm. This is 160 ÷ 1000 nm. Hence N = 160.