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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 I/2 , the potential difference V is increased to 2V, and the separation distance d is reduced to 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
Correct answer is option 'A,C'. Can you explain this answer?
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In an X-ray tube, electrons emitted from a filament (cathode) carrying...
Hence I decreases
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Explanation:
When the filament current I is decreased to I/2, the potential difference V is increased to 2V, and the separation distance d is reduced to d/2, the following changes occur:
Effect on Cut-off Wavelength:
- The cut-off wavelength is the maximum wavelength of the emitted X-rays.
- It is given by λc = hc/eV, where h is Planck's constant, c is the speed of light, e is the electronic charge, and V is the potential difference.
- When V is increased to 2V, the value of λc will decrease to half as per the equation.
- Therefore, option A is correct.
Effect on Wavelengths of Characteristic X-rays:
- Characteristic X-rays are emitted when an electron from the outer shell of an atom fills the vacancy left by an electron from the inner shell that was knocked out by the incident electron.
- The energy of the emitted X-ray is equal to the difference in the binding energies of the two shells involved.
- The wavelengths of the characteristic X-rays depend on the atomic number of the target material and the energy levels of the involved electron shells.
- Since the current and the distance between the cathode and anode do not affect the atomic properties of the target material, the wavelengths of the characteristic X-rays will remain the same.
- Therefore, option B is incorrect.
Effect on Intensity of X-rays:
- The intensity of X-rays depends on the current and the potential difference applied to the X-ray tube.
- When the current is reduced to half, the number of electrons hitting the target will also reduce, resulting in a decrease in the intensity of all the X-rays.
- Moreover, when the distance between the cathode and anode is reduced to half, the X-rays will be emitted in a more focused beam, reducing the spread of X-rays.
- Therefore, the intensities of all the X-rays will decrease.
- Therefore, option C is correct.
Conclusion:
- When the filament current I is decreased to I/2, the potential difference V is increased to 2V, and the separation distance d is reduced to d/2, the cut-off wavelength will reduce to half, and the intensities of all the X-rays will decrease.
- The wavelengths of the characteristic X-rays will remain the same.
When the filament current I is decreased to I/2, the potential difference V is increased to 2V, and the separation distance d is reduced to d/2, the following changes occur:
Effect on Cut-off Wavelength:
- The cut-off wavelength is the maximum wavelength of the emitted X-rays.
- It is given by λc = hc/eV, where h is Planck's constant, c is the speed of light, e is the electronic charge, and V is the potential difference.
- When V is increased to 2V, the value of λc will decrease to half as per the equation.
- Therefore, option A is correct.
Effect on Wavelengths of Characteristic X-rays:
- Characteristic X-rays are emitted when an electron from the outer shell of an atom fills the vacancy left by an electron from the inner shell that was knocked out by the incident electron.
- The energy of the emitted X-ray is equal to the difference in the binding energies of the two shells involved.
- The wavelengths of the characteristic X-rays depend on the atomic number of the target material and the energy levels of the involved electron shells.
- Since the current and the distance between the cathode and anode do not affect the atomic properties of the target material, the wavelengths of the characteristic X-rays will remain the same.
- Therefore, option B is incorrect.
Effect on Intensity of X-rays:
- The intensity of X-rays depends on the current and the potential difference applied to the X-ray tube.
- When the current is reduced to half, the number of electrons hitting the target will also reduce, resulting in a decrease in the intensity of all the X-rays.
- Moreover, when the distance between the cathode and anode is reduced to half, the X-rays will be emitted in a more focused beam, reducing the spread of X-rays.
- Therefore, the intensities of all the X-rays will decrease.
- Therefore, option C is correct.
Conclusion:
- When the filament current I is decreased to I/2, the potential difference V is increased to 2V, and the separation distance d is reduced to d/2, the cut-off wavelength will reduce to half, and the intensities of all the X-rays will decrease.
- The wavelengths of the characteristic X-rays will remain the same.
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In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer?
Question Description
In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer?.
In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer?.
Solutions for In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer?, a detailed solution for In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer? has been provided alongside types of In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance dfrom the cathode. The target is kept at a potential Vhigher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current Iis decreased to I/2 ,thepotential difference Vis increased to 2V, and the separation distance dis reduced to d/2 ,thena)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 decreaseCorrect answer is option 'A,C'. Can you explain this answer? tests, examples and also practice JEE tests.
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