Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 34, Problem 29P
To determine
The momentum of recoil electron.
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Show that the maximum kinetic energy of the recoil electron in Compton scattering is given by
2hf
mc²
K. E.max (electron) = hf ·
2hf
1+ mc²
At what angles and does this occur? If we detect a scattered electron at angle = 0° of 100 keV, what
energy photon was scattered?
(a) Find the momentum of a 100-keV x-ray photon. (b) Find the equivalent velocity of a neutron with the same momentum. (c) What is the neutron’s kinetic energy in keV?
X-rays having an energy of 0.4 MeV undergo Compton scattering from a target asshown below. The scattered x-rays are detected at an angle of 40° relative to theincident x-rays. Find:i. the Compton shift at this angle, ii. the energy of the scattered x-rays, and iii. the kinetic energy and momentum of the scattered electron.
Chapter 34 Solutions
Physics for Scientists and Engineers
Ch. 34 - Prob. 1PCh. 34 - Prob. 2PCh. 34 - Prob. 3PCh. 34 - Prob. 4PCh. 34 - Prob. 5PCh. 34 - Prob. 6PCh. 34 - Prob. 7PCh. 34 - Prob. 8PCh. 34 - Prob. 9PCh. 34 - Prob. 10P
Ch. 34 - Prob. 11PCh. 34 - Prob. 12PCh. 34 - Prob. 13PCh. 34 - Prob. 14PCh. 34 - Prob. 15PCh. 34 - Prob. 16PCh. 34 - Prob. 17PCh. 34 - Prob. 18PCh. 34 - Prob. 19PCh. 34 - Prob. 20PCh. 34 - Prob. 21PCh. 34 - Prob. 22PCh. 34 - Prob. 23PCh. 34 - Prob. 24PCh. 34 - Prob. 25PCh. 34 - Prob. 26PCh. 34 - Prob. 27PCh. 34 - Prob. 28PCh. 34 - Prob. 29PCh. 34 - Prob. 30PCh. 34 - Prob. 31PCh. 34 - Prob. 32PCh. 34 - Prob. 33PCh. 34 - Prob. 34PCh. 34 - Prob. 35PCh. 34 - Prob. 36PCh. 34 - Prob. 37PCh. 34 - Prob. 38PCh. 34 - Prob. 39PCh. 34 - Prob. 40PCh. 34 - Prob. 41PCh. 34 - Prob. 42PCh. 34 - Prob. 43PCh. 34 - Prob. 44PCh. 34 - Prob. 45PCh. 34 - Prob. 46PCh. 34 - Prob. 47PCh. 34 - Prob. 48PCh. 34 - Prob. 49PCh. 34 - Prob. 50PCh. 34 - Prob. 51PCh. 34 - Prob. 52PCh. 34 - Prob. 53PCh. 34 - Prob. 54PCh. 34 - Prob. 55PCh. 34 - Prob. 56PCh. 34 - Prob. 57PCh. 34 - Prob. 58PCh. 34 - Prob. 59PCh. 34 - Prob. 60PCh. 34 - Prob. 61PCh. 34 - Prob. 62PCh. 34 - Prob. 63PCh. 34 - Prob. 64PCh. 34 - Prob. 65PCh. 34 - Prob. 66PCh. 34 - Prob. 67PCh. 34 - Prob. 68PCh. 34 - Prob. 69PCh. 34 - Prob. 70PCh. 34 - Prob. 71PCh. 34 - Prob. 72PCh. 34 - Prob. 73P
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- Calculate the maximum fractional frequency shift for an incident photon of wavelength ? =1 Å scattering off a proton initially at rest. Perform the same calculation for electron. Comparethe cases and draw suitable inference.arrow_forwardThe momentum of light is exactly reversed when reflected straight back from a mirror, assuming negligible recoil of the mirror. Thus the change inmomentum is twice the photon momentum. Suppose light of intensity 1.00 kW/m2 reflects from a mirror of area 2.00 m2 . Calculate the energy reflected in 1.00s.arrow_forwardWhat is the maximum velocity of electrons ejected from a material by 80-nm photons, if they are bound to the material by 4.73 eV?arrow_forward
- Determine the wavelength of an electron that starts its motion from rest with a potential difference of (800 v), then calculate the wavelength of the proton under the same conditions and when the mass of proton= 1.673*10-27 Kg.arrow_forwardFind the de-Broglie wavelength of neutron of energy 12.8 MeVAn electron has de-Broglie wavelength 0.2nmThe position of 1 KeV electrons aresimultaneously measured.If its position is located within 1 A° what is the percentageof uncertainity in momentum?arrow_forwardProblem 3: (a) A photon (denoted by the symbol y, which is not the same as the y relativity factor in our equa- tions) of initial energy E; scatters off of an electron of mass me that is initially at rest (this is known as Compton scattering). If the scattering angles of the photon and electron are both 0, find 0. Before After (b) Now let us no longer demand that the scat- tered photon and scattered electron have the same scattering angle. That is, let the photon scatter at angle 0 (not necessarily the same 0 that you calcu- lated in part a), and let the electron scatter at some unknown angle. Calculate the energy of the scat- tered photon as a function of scattering angle, E(0). Your answer can also be in terms of E;, me, and other constants, but it should not be in terms of the electron's unknown scattering angle. ,earrow_forward
- Consider a Compton scattering experiment with a given incident photon energy. Show that the attatched equation is the maximum kinetic energy for the scattered electrons. (Hint: This energy is the Compton edge, and can be detected in radioactive decay experiments)arrow_forwardXtrays having energy of 300.00- keV undergo scattering from electrons on a metallic target. The scattered rays are detected at 37.0 degree repative to the incident rays. Find the compton shift at this angle. (m = 9.1 X 10 to -13 kg) b) find the energy of the scattered xray?arrow_forwardWhy the de-Broglie wave associated with a thrown tennis ball is not observable?Explain with approximate calculations (b). Suppose that a neutron beam is used in adiffraction experiment on crystalline solid with the lattice plane separationapproximately 0.1 nm. Estimate the non-relativistic kinetic energy of neutrons (in eV)arrow_forward
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