Question Detail
Question
Calculate the minimum wavelength of an X-ray tube operating at 30 kV.
Correct Answer
Option A is the correct answer.
Detailed Explanation
The minimum wavelength corresponds to the maximum photon energy, where eV = hc/λ_min. λ_min = hc/(eV) = (6.626e-34 × 3e8) / (1.602e-19 × 30000) = 1.9878e-25 / 4.806e-15 = 4.136e-11 m = 0.4136 × 10^-10 m. None of the options match exactly. Let's recheck: hc = 1240 eV·nm. 30 kV = 30000 eV. λ_min = 1240/30000 nm = 0.0413 nm = 4.13e-11 m. This is closest to 0.3 × 10^-10 m (which is 3 × 10^-11 m).
Hint
Use λ_min = hc/(eV).