Question
Show that the cutoff frequency for an $x$ -ray tube is proportional to the potential difference through which the electrons are accelerated.
Step 1
In an X-ray tube, electrons are accelerated from the cathode to the anode by a potential difference V. The kinetic energy of the electrons is given by: KE = eV where e is the charge of an electron. Show more…
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Show that the cutoff wavelength (in picometers) in the continuous $\mathrm{x}$ -ray spectrum from any target is given by $\lambda_{\min }=1240 / \mathrm{V}$, where $V$ is the potential difference (in kilovolts) through which the electrons are accelerated before they strike the target.
Show that the cutoff wavelength (in picometers) in the continuos x-ray spectrum from any target is given by $\lambda_{\min }=1240 / V$ , where $V$ is the potential difference (in kilovolts) through which the electrons are accelerated before they strike the target.
Electrons are accelerated from rest through a potential difference of 10 kV in an X-ray tube. Calculate: 1. The resultant energy of the electrons in eV. 2. The wavelength of associated electron waves. 3. The maximum energy and the minimum wavelength of the X-radiation generated.
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