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Continuous X-ray - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • Continuous X-ray is considered one of the most asked concept.

  • 10 Questions around this concept.

Solve by difficulty

Electrons of mass m with de-Broglie wavelength \lambda fall on the target in an X-ray tube. The cutoff wavelength (\lambda0) of the emitted X-ray is

The shortest wavelenght of x-rays emitted by an x-ray tube operating at 30 kV.

What is the minimum \mathrm{x}- ray wave length produced when electrons are accelerated through a potential of \mathrm{50000 \mathrm{~V}}?
\mathrm{\left(h=6.63 \times 10^{-34} \mathrm{Js}, c=3 \times 10^8 \mathrm{~m} / \mathrm{s}, 1 e v=1.6 \times 10^{-19} \mathrm{~J}\right)}

Electrons with energy 80 \mathrm{keV} are incident on the tungsten target of an \mathrm{X}-ray tube.\mathrm{K}-shell electrons of tungsten have \mathrm{72.5 \mathrm{keV}} energy. X-rays emitted by the tube contain only :
 

When X-rays of wavelength \mathrm{0.5 \AA} would be transmitted by an aluminium tube of thickness \mathrm{7 \mathrm{~mm}}, its intensity remains one-fourth. The attenuation coefficient of aluminium for these \mathrm{X}-rays is
 

If a voltage applied to an X-ray tube is increased by \mathrm{\eta=1.5 \text { times, }} the short wavelength limit of an X-
ray continuous spectrum shifts by \mathrm{\Delta \lambda=26 \mathrm{pm} \text {. }}. Find the initial voltage applied to the tube.

x-rays are produced in an x-ray tube operating at a given accelerating voltage. The wavelength of the continuous x-rays has values from -
 

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characteristic-spectra of x-ray is shown in figure. Which is \mathrm{k_\alpha } and \mathrm{k_\beta }-

Concepts Covered - 1

Continuous X-ray

Continuous X-ray-

As we know about the phenomenon of visible light, similarly continuous X-ray spectra also contains photons ranging through a lot of wavelengths. From the previous concept, we know that the production of X-rays happens when the target which is made up of an element with a high atomic number is hit by electrons travelling at a high velocity. So out of the total energy, most of the energy applied is wasted by being converted into heat energy in the target material’s system. X-rays that have continuously unstable wavelengths are produced due to the loss of energy that the few electrons who were moving fast enough (and penetrated to the interior sections of the atoms of the material being targeted) suffer. Since the attractive pulling forces applied by the nucleus of the target element causes a deceleration of these fast-moving electrons, this makes the decrease in the energy of the electron continuously. Due to this, varying frequency of X-rays is emitted continuously due to the retardation of the speed of electrons. The X – rays consist of a continuous range of frequencies up to a maximum frequency \numaxor minimum wavelength \lambdamin. This is called continuous X – rays. The minimum wavelength depends on the anode voltage. If V is the potential difference between the anode and the cathode, then - 

                                                                                  eV = h \nu_{max} = \frac{hc}{\lambda_{min}}

To produce the continous X-ray in the Coolidge tube, an electron is projected toward the anode with an accelerating voltage V. So, the kinetic energy of the projectile electron will be eV. As shown in the figure, it experiences strong electric force toward the nucleus of the atom and due to this strong attraction the velocity of this electron, when it emerge from the atom, will be highly reduced and negligible compared with the initial speed of the projectile electron.

                                                           

According to the law of conservation of energy, the energy of these electromagnetic radiations will be equal to the decrease in the kinetic energy of the projectile electron.

                                                                                           \begin{array}{l}{e V=\frac{1}{2} m v^{2}} \\ \\ {v=\sqrt{\frac{2 e V}{m}}}\end{array}

But the velocity of the coming electron will be less as compare to the projectile electron. This difference of kinetic energy will cause the production X-rays.

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Continuous X-ray

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