4. [lpt] An alpha particle is a naturally occuring and somewhat common particle.

Question

4. [lpt] An alpha particle is a naturally occuring and somewhat common particle. (Among other things, it is a product of radon decay - so, it's likely that plenty of alpha particles are present where you live here in Colorado!) It is similar to a proton, but has four times the mass, and twice the electric charge. In an experimental apparatus an electron starting from rest acquires 4.38 keV of kinetic energy in moving from point A to point B under the influence of a static electric field. (keV means "kilo eV", by the way.) If an alpha particle is released from rest in the same apparatus, what is the ratio of the final kinetic energy of the alpha particle to the final KE of the electron? (Since this is a ratio, enter a pure number) Answer: Submit All Answers Last Answer: 1.54x10A12 Incorrect, tries 1/6. Hint: What is the fundamental relationship between voltage (differences) and change in energy? 5. [1pt particle(final speed of electron)? Answer: Not yet correct, tries 1/6 Hint: You figured out the ratio of their kinetic energies in the previous problem, and you know (or can easily look up) their masses. Think about the formula for kinetic energy, does that help? Submit All Answers Last Answer: 3.65x1043

Explanation / Answer

q = e = charge on electron

V = potential difference

using conservation of energy

electric potential energy = Kinetic energy of electron

q V = 4.38 x 103 e V

e V = 4.38 x 103 e

V = 4.38 x 103 volts

For alpha particle :

Q = 2e

Final KE of alpha particle = QV = 2 eV = 2 (4.38 x 103 ) e

ratio = 4.38 x 103 e / 2 (4.38 x 103 ) e = 0.5

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