Hospital X-ray Tube Voltage Calibration · AI Generator #GEN-F55430D0

Physics · modern-physics

Problem

A hospital's X-ray machine produces characteristic X-rays when high-energy electrons strike a tungsten target. The machine's voltage display reads

35.0\;\text{kV}

, but the technician suspects it may be miscalibrated. To check this, she measures the shortest wavelength X-ray produced and finds

\lambda_{\text{min}} = 3.55 \times 10^{-11}\;\text{m}

. What is the actual accelerating voltage of the X-ray tube?