B What is the minimum voltage required to get characteristic spectrum

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1. Jan 10, 2017

Samar A

Hi,
The x-ray consists of the bremsstrahlung spectrum and the characteristic spectrum. We can get x-rays by using Coolidge tube where there are an applied voltage on the tube between the filament and the target. The bremsstrahlung is depeding on the PD between the filament and the target, but it is produced anyways. The characteristic spectrum requires a high PD to be produced.
I wonder how could we determine the less voltage is sufficient for the emergence of characteristic spectrum by using a diagram of the two spectra, like this:
(Note: the information on the photo were not clear so I deleted them and wrote them again using my cellphone)
Anyways, in my textbook it tried to give the less voltage needed for the characteristic spectrum, and it did this:
E=hc/λ =(6.625*10^-34)*(3*10^8)/ (0.8*10^-10)
=2.48*10^-15 J
And then, because E=eV:
2.48*10^-15= (1.6*10^-19) *V
So, V= 1.55*10^4 Volts.

I am not convinced with the way it used and I don't know how to determine it myself, either.
Could someone explain me way it used the value (0.8*10^-10) in the first part of the solution, because I don't think it is the longest wavelenght the characteristic would appear.

2. Jan 10, 2017

Staff: Mentor

Why not? Characteristic radiation occurs as soon as the total energy of the electrons hitting the cathode is sufficient to excite the atoms in it. You can determine this energy based on the wavelength the atoms emit.