If the potential difference applied to the tube is doubled and the separation between the filament and the target is also doubled, the cutoff wavelength

Step-by-step solution

The cutoff wavelength of X-rays produced in an X-ray tube is given by the relation _ min = hc eV . The cutoff wavelength depends only on the accelerating potential difference V and is independent of the separation between the filament and the target. When the potential difference is doubled, V' = 2V . The new cutoff wavelength becomes '_ min = hc e(2V) = _ min 2 . Therefore, the cutoff wavelength will be halved.