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X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.
Correct answer is '24.75'. Can you explain this answer?
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X-rays of wavelength 0.24 nm are Compton scattered and the scattered b...
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X-rays of wavelength 0.24 nm are Compton scattered and the scattered b...
° relative to the incident beam. The scattered beam has a wavelength of 0.33 nm. Calculate the energy of the incident X-ray and the energy of the scattered X-ray.
We can use the Compton scattering formula to solve this problem:
λ' - λ = h/mc(1 - cosθ)
where λ is the wavelength of the incident X-ray, λ' is the wavelength of the scattered X-ray, h is Planck's constant, m is the mass of the electron, c is the speed of light, and θ is the scattering angle.
First, we can calculate the change in wavelength:
λ' - λ = 0.33 nm - 0.28 nm = 0.05 nm
Next, we can plug in the values for the constants and scattering angle:
0.05 nm = (6.626 x 10^-34 J s)/(9.109 x 10^-31 kg)(3 x 10^8 m/s)(1 - cos60°)
Solving for λ gives:
λ = 0.28 nm
So the incident X-ray had a wavelength of 0.28 nm.
To find the energy of the incident X-ray, we can use the formula:
E = hc/λ
where E is the energy of the X-ray.
Plugging in the values:
E = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(0.28 x 10^-9 m)
E = 7.1 x 10^-15 J
So the energy of the incident X-ray is 7.1 x 10^-15 J.
To find the energy of the scattered X-ray, we can use the same formula with the new wavelength:
E' = hc/λ'
Plugging in the values:
E' = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(0.33 x 10^-9 m)
E' = 6.0 x 10^-15 J
So the energy of the scattered X-ray is 6.0 x 10^-15 J.
We can use the Compton scattering formula to solve this problem:
λ' - λ = h/mc(1 - cosθ)
where λ is the wavelength of the incident X-ray, λ' is the wavelength of the scattered X-ray, h is Planck's constant, m is the mass of the electron, c is the speed of light, and θ is the scattering angle.
First, we can calculate the change in wavelength:
λ' - λ = 0.33 nm - 0.28 nm = 0.05 nm
Next, we can plug in the values for the constants and scattering angle:
0.05 nm = (6.626 x 10^-34 J s)/(9.109 x 10^-31 kg)(3 x 10^8 m/s)(1 - cos60°)
Solving for λ gives:
λ = 0.28 nm
So the incident X-ray had a wavelength of 0.28 nm.
To find the energy of the incident X-ray, we can use the formula:
E = hc/λ
where E is the energy of the X-ray.
Plugging in the values:
E = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(0.28 x 10^-9 m)
E = 7.1 x 10^-15 J
So the energy of the incident X-ray is 7.1 x 10^-15 J.
To find the energy of the scattered X-ray, we can use the same formula with the new wavelength:
E' = hc/λ'
Plugging in the values:
E' = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(0.33 x 10^-9 m)
E' = 6.0 x 10^-15 J
So the energy of the scattered X-ray is 6.0 x 10^-15 J.
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X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer?
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X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer?.
X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer?.
Solutions for X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer?, a detailed solution for X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer? has been provided alongside types of X-rays of wavelength 0.24 nm are Compton scattered and the scattered beam is observed at an angle of 60? relative to the incident beam. The Compton wavelength of the electron is 0.00243 nm. The kinetic energy of scattered electrons in eV is ___________.Correct answer is '24.75'. Can you explain this answer? theory, EduRev gives you an
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