Physics

Problem

In an X-ray tube, electrons emitted from a filament (cathode) carrying current

I

hit a target (anode) at a distance

d

from the cathode. The target is kept at a potential

V

higher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current

I

is decreased to

\frac{I}{2}

, the potential difference

V

is increased to

2V

, and the separation distance

d

is reduced to

\frac{d}{2}

, then a. the cut-off wavelength will reduce to half, and the wavelengths of the characteristic X-rays will remain the same b. the cut-off wavelength as well as the wavelengths of the characteristic X-rays will remain the same c. the cut-off wavelength will reduce to half, and the intensities of all the X-rays will decrease d. the cut-off wavelength will become two times larger, and the intensity of all the X-rays will decrease

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