Find the rest energy of an electron (m = 9.109 x 10-31 kg, q = -e = -1.602 x 10-19 C) in joules and in electron volts. (a) Find the speed of an electron that has been accelerated by an electric field, from rest, through a potential increase of 20.0 kV or of 5.00 MV (typical of a high-voltage x-ray machine).
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Find the rest energy of an electron (m = 9.109 x 10-31 kg, q = -e = -1.602 x 10-19 C) in joules and in electron volts. (a) Find the speed of an electron that has been accelerated by an electric field, from rest, through a potential increase of 20.0 kV or of 5.00 MV (typical of a high-voltage x-ray machine).
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- Please Solve Correctly.Determine the energy required to accelerate an electron between each of the following speeds. (a) 0.500c to 0.880c MeV(b) 0.880c to 0.950c MeVQuestion: The electronic structure of atoms and molecules may be investigated using photoelectron spectroscopy. An electron in a photoelectron spectrometer is accelerated from rest by a uniform electric field to a speed of 420 km s−1 in 10 µs. Determine the kinetic energy of the electron?
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- 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?A small charged particle of mass 1.0 x 10-8 kg is traveling rightward between two plates separated by a distance d = 80 cm, as shown below. The electric field between the plates has a constant magnitude of 3.0 x 106 V/m and is directed leftward. The particle's speed is 5.0 x 103 m/s at the left plate and 2.0 x 10³ m/s at the right plate. Ignore the effect of gravity. F (a) Is the particle positively charged or negatively charged? Justify your answer briefly but clearly. (b) Find the charge (with correct sign) of the particle, as well as the potential difference (with correct sign) through which the particle has moved. (Note: The potential difference is positive if the right plate is at a higher potential than the left plate, and negative if the right plate is at a lower potential than the left plate. Show all your work; do not simply plug numbers into a result derived in class.)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 .