The mass of an electron is 9.109 381 88 * 10-31 kg.To eight significant figures, find the following for the given electron kinetic energy: (a) gama and (b) b for K =1.000 000 0 keV, (c) g and (d) b for K = 1.000 000 0 MeV, and then (e) g and (f) b forK = 1.000 000 0 GeV.

The carbon isotope 14C is used for carbon dating of objects.  A  14C nucleus can change into a different kind of element, a neighbor on the periodic table with lower mass, by emitting a beta particle – an electron or positron – plus a neutrino or an anti-neutrino.  Consider the scenario where 14C ( mass of 2.34 x 10 -26) decays by emitting an electron and anti neutrino.  The electron has a mass of 9.11x 10-31 kg and a speed of 5.5 x107  m/s.  While the anti neutrino has  a momentum of 8.5x10-24 kg-m/s.  If the electron and anti neutrino are emitted at right angles from each other, calculate the recoil speed of the nucleus.

Helpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k₂ = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-10 N (c) 2.3 x 10-19 N (d) 4.6 x 10-19 N cing the voltage so following insta choices below at a time! 1.00 s?

An alpha particle has a kinetic energy of 1.8 MeV. What is its speed?

Consider an electron orbiting around a proton with an orbital radius of R=8.48⋅10−10R=8.48⋅10-10 m. What is the orbital frequency of the electron motion? Use me=9.11×10−31me=9.11×10-31 kg, e=1.6×10−19e=1.6×10-19 C, and k=9×109k=9×109 Nm2/C2. The frequency, f0 =  Units           . By how much would this frequency increase (assume the same orbital radius) if an external magnetic field of B = 0.5 T is applied to the system along the the electron axis of rotation? The increase in the frequency , Δf =  Units           .

We have the following nuclear reaction, 73Li + p −→ 74Be + n the neutrons are ejected at an angle of 90° relative to the original direction of the proton beam. The kinetic energy of neutrons is 1.94 MeV. (a) Calculate the Q of the nuclear reaction

10 L Special Relativity predicts that high-energy electrons increase in mass as they approach the speed of light. What kinetic energy will an electron have if it is travelling at 99.875% of the speed of light? Give your answer in MeV and in J. How many times greater is your result than the value the classical formula mv² gives? G AU