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In X-rays production an electron accelerated with voltage V strikes a metal target. For which of the following voltages X-rays of minimum wavelength will be produced :
- a)40 kV
- b)30 kV
- c)10 kV
- d)20 kV
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
InX-rays production an electron accelerated with voltageVstrikes a met...
λ will be minimum for maximum accelerated voltage 
The correct answer is: 40 kV
The correct answer is: 40 kV
Most Upvoted Answer
InX-rays production an electron accelerated with voltageVstrikes a met...
λ will be minimum for maximum accelerated voltage
The correct answer is: 40 kV
The correct answer is: 40 kV
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InX-rays production an electron accelerated with voltageVstrikes a met...
Explanation:
When an electron is accelerated through a voltage V and strikes a metal target, it produces X-rays. The wavelength of the X-rays produced is given by the equation:
λ = hc / eV
where λ is the wavelength, h is Planck's constant, c is the speed of light, e is the charge of an electron, and V is the accelerating voltage.
Minimum wavelength:
The minimum wavelength of X-rays that can be produced is when the electron loses all of its kinetic energy upon striking the target. This occurs when the electron is brought to a stop by the electric field. Therefore, the maximum kinetic energy of the electron is given by:
eV = 1/2 mv^2
where m is the mass of the electron and v is the velocity of the electron.
Equating the maximum kinetic energy with the energy of a photon:
The maximum kinetic energy of the electron can be equated with the energy of a photon using the equation:
eV = hc / λ
Simplifying this equation gives:
λ = hc / eV
Choosing the voltage for minimum wavelength:
To determine which voltage will produce X-rays of the minimum wavelength, we need to find the voltage that maximizes the energy of the photon. From the equation above, we can see that as the voltage increases, the wavelength of the X-rays decreases. Therefore, the voltage that produces X-rays of the minimum wavelength will be the highest voltage given.
Answer:
The correct answer is option 'A', 40kV, as it is the highest voltage among the options given.
When an electron is accelerated through a voltage V and strikes a metal target, it produces X-rays. The wavelength of the X-rays produced is given by the equation:
λ = hc / eV
where λ is the wavelength, h is Planck's constant, c is the speed of light, e is the charge of an electron, and V is the accelerating voltage.
Minimum wavelength:
The minimum wavelength of X-rays that can be produced is when the electron loses all of its kinetic energy upon striking the target. This occurs when the electron is brought to a stop by the electric field. Therefore, the maximum kinetic energy of the electron is given by:
eV = 1/2 mv^2
where m is the mass of the electron and v is the velocity of the electron.
Equating the maximum kinetic energy with the energy of a photon:
The maximum kinetic energy of the electron can be equated with the energy of a photon using the equation:
eV = hc / λ
Simplifying this equation gives:
λ = hc / eV
Choosing the voltage for minimum wavelength:
To determine which voltage will produce X-rays of the minimum wavelength, we need to find the voltage that maximizes the energy of the photon. From the equation above, we can see that as the voltage increases, the wavelength of the X-rays decreases. Therefore, the voltage that produces X-rays of the minimum wavelength will be the highest voltage given.
Answer:
The correct answer is option 'A', 40kV, as it is the highest voltage among the options given.
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InX-rays production an electron accelerated with voltageVstrikes a metal target. For which of the following voltagesX-rays of minimum wavelength will be produced :a)40kVb)30kVc)10kVd)20kVCorrect answer is option 'A'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about InX-rays production an electron accelerated with voltageVstrikes a metal target. For which of the following voltagesX-rays of minimum wavelength will be produced :a)40kVb)30kVc)10kVd)20kVCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InX-rays production an electron accelerated with voltageVstrikes a metal target. For which of the following voltagesX-rays of minimum wavelength will be produced :a)40kVb)30kVc)10kVd)20kVCorrect answer is option 'A'. Can you explain this answer?.
InX-rays production an electron accelerated with voltageVstrikes a metal target. For which of the following voltagesX-rays of minimum wavelength will be produced :a)40kVb)30kVc)10kVd)20kVCorrect answer is option 'A'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about InX-rays production an electron accelerated with voltageVstrikes a metal target. For which of the following voltagesX-rays of minimum wavelength will be produced :a)40kVb)30kVc)10kVd)20kVCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InX-rays production an electron accelerated with voltageVstrikes a metal target. For which of the following voltagesX-rays of minimum wavelength will be produced :a)40kVb)30kVc)10kVd)20kVCorrect answer is option 'A'. Can you explain this answer?.
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