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EEJ MAIN Physics QUESTION #7075
Question 1
An X-ray tube functions at a potential of $1.24$ million volts. Calculate the shortest wavelength produced by the photons in this tube.
  • $10^{-3} \text{ nm}$✔️
  • $10^{-2} \text{ nm}$
  • $10^{-4} \text{ nm}$
  • $10^{-1} \text{ nm}$
Correct Answer Explanation
The shortest wavelength ($\lambda_{min}$) is given by $\lambda = \frac{hc}{eV}$. Using $hc \approx 1240 \text{ eV}\cdot\text{nm}$, we have $\lambda = \frac{1240 \text{ eV}\cdot\text{nm}}{1.24 \times 10^6 \text{ eV}} = 1000 \times 10^{-6} \text{ nm} = 10^{-3} \text{ nm}$.