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- The Dirac (1938) relativistic theory of classical point electrons has as its equation of motion, (in attached image)Using the requirement that any force must satisfy F p = 0, show that (in attached image)Protons are accelerated from rest across 480 V. They arethen directed at two slits 0.70 mm apart. How far apart willthe interference peaks be on a screen 28 m away?Derive the larmor's formula for power radiated from an accelerated charge moving with non-relativistic ve- locity.
- < !!! Question 5. (a) Derive the Larmour radiation formula for an accelerated point charge moving with non-relativistic velocity. (b) An electron is accelerated to 20 keV energy between anode and cathode separated by a distance of 5 cm. Calculate the total energy lost in radiation. SAVECheck Your Understanding A proton with kinetic energy 1.00 eV is incident on a square potential barrier with height 10.00 eV. If the proton is to have the same transmission probability as an electron of the same energy, what must the width of the barrier be relative to the barrier width encountered by an electron?Check Your Understanding What is de Broglie’s wavelength of a non-relativistic proton with a kinetic energy of 1.0 eV?
- Calculate the velocity of a 1.0-m electron and a potential difference used to accelerate it from rest to this velocity.Calculate the momentum of a 0.5-MeV electron(a) Through what minimum potential difference (in kV) must electrons at rest be accelerated so that onstriking a target they produce x-ray photons with a momentum of 1.55 keV/c?kV(b) Through what minimum potential difference (in V) must electrons at rest be accelerated so that theyacquire a momentum of 1.55 keV/c?