A photon with momentum 1.32×10-23 kg m/s² scatters off a free electron by an angle of 43 degrees. What percentage of the photon's momentum is lost in the collision?
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Compton effect
The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible lights, the Compton effect is missing.
Recoil Velocity
The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.
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- Problem 4: A photon originally traveling along the x axis, with wavelength λ = 0.100 nm is incident on an electron (m = 9.109 x 10-31 kg) that is initially at rest. The x-component of the momentum of the electron after the collision is 5.0 x 10-24 kg m/s and the y-component of the momentum of the electron after the collision is -6.0 x 10-24 kg m/s. If the photon scatters at an angle + from its original direction, what is wavelength of the photon after the collision. h= 6.626 x 10:34 J·s and c = 3.0 x 108 m/s.You want to use a microscope to study the structure of a mitochondrion about 1.00 um in size. To be able to observe small details within the mitochondrion, you want to use a wavelength of 0.0500 nm. If your microscope uses light of this wavelength, what is the momentum p of a photon? p = kg-m/s If your microscope uses light of this wavelength, what is the energy E of a photon? E = If instead your microscope uses electrons of this de Broglie wavelength, what is the momentum p. of an electron? Pe = kg-m/s If instead your microscope uses electrons of this de Broglie wavelength, what is the velocity v of an electron? v = m/s If instead your microscope uses electrons of this de Broglie wavelength, what is the kinetic energy K of an electron? K = What advantage do your calculations suggest electrons have compared to photons? O An electron's charge allows it to attach to observed particles, whereas a photon's electric neutrality prevents it from moving close enough to the observed particles…A 550-nm photon (visible light) is absorbed by a 1.00-µg particle of dust in outer space. (a) Find the momentum of such a photon. (b) What is the recoil velocity of the particle of dust, assuming it is initially at rest?
- A photon with wavelength I = 0.1385 nm scatters from an electron that is initially at rest. What must be the angle between the direction of propagation of the incident and scattered photons if the speed of the electron immediately after the collision is 8.90 x 106 m/s?A photon having energy 0.640 MeV is scattered by a free electron initially at rest such that the scattering angle of the scattered electron is equal to that of the scattered photon as shown in the figure below. E, (a) Determine the scattering angle of the photon and the electron. photon 60 electron 60 (b) Determine the energy and momentum of the scattered photon. energy ,64 X MeV momentum 2.13e-9 X kg · m/s (c) Determine the kinetic energy and momentum of the scattered electron. kinetic energy 0.177 MeV momentum 2.13e-9 X kg · m/sA 0.254-nm photon collides with a stationary electron. After the collision, the electron moves forward and the photon recoils backwards. (a) Find the momentum of the electron. Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. kg · m/s (b) Find the kinetic energy of the electron. eV
- nd on A sample is bombarded by incident X-rays, and free electrons in the sample scatter some of the X-rays at an angle of 8-130.0° with respect to the incident X-rays, as shown in the drawing. The scattered X-rays have a momentum whose magnitude is 1.861 x 1024 kg-m/s. Determine the wavelength (in nm) of the incident X-rays. (For accuracy, use h = 6.626 x 1034 J-s, c -2.998 x 10 m/s, and m= 9.109 x 1031 kg for the mass of an electron.) Number i 33237 m Photon scattering from stationary electron Units nm H Search PODAn electron is moving at 3.5 x 106 m/s. A photon of what wavelength would have the same momentum?A photon with wavelength l = 0.1050 nm is incident on an electron that is initially at rest. If the photon scatters at an angle of 60.0 from its original direction, what are the magnitude and direction of the linear momentum of the electron just after it collides with the photon?
- b. A photon of wavelength (Z + 22) × 10-12 m is collided with an electron from a carbon block and the scattered photon is detected at (Z + 75)° to the incident beam. Find the energy absorbed by the recoil electron.A photon with wavelength X scatters off an electron at rest, at an angle with the incident direction. The Compton wavelength of the electron Ac = 0.0024 nm. a) For λ = 0.0006 nm and 0 = 53 degrees, find the wavelength X' of the scattered photon in nanometres. b) Obtain a formula for the energy of the electron Ee after collision, in terms of the universal constants h, c and the variables X, X' and Ac. The answer must be expressed in terms of these variables only. (Please enter an algebraic expression using latex format; do not input any numerical values) c) Using the energy conservation condition, find the value of the electron energy Ee after scattering in units of keV. d) Write an algebraic expression for the electron's momentum pe in terms of its energy Ee, its mass me and the speed of light c. e) What is the de Broglie wavelength of the scattered electron ? Express your answer in terms of Ee, me, and X and c. f) Find the value of the de Broglie wavelength of the scattered electron…A photon with wavelength 7.10*10^-2 nm is incident on an electron that is initially at rest. If the photon scatters in the backward direction, what is the magnitude of the linear momentum of the electron just after the collision with the photon?