Practice portal › Dual Nature of Matter and Radiation › Photon Energy, Number of Photons and Intensity
Asked in GUJCET 2018 · Photon energy, momentum and mass
Given: E = 35 keV = 35×10³×1.6×10⁻¹⁹ = 5.6×10⁻¹⁵ J.
Idea: for a photon E = (hc)/λ, so λ = (hc)/E.
hc = 6.625×10⁻³⁴×3×10⁸ = 1.9875×10⁻²⁵ J m
λ = (1.9875×10⁻²⁵)/(5.6×10⁻¹⁵) = 3.55×10⁻¹¹ m
This is 35.5×10⁻¹² m, about 0.355 A: an X-ray wavelength.
So λ ≈ 35×10⁻¹² m.
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