Consider the Franck-Hertz experiment with Hg vapor in the tube and the voltage between the cathode and
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Consider the Franck-Hertz experiment with Hg vapor in the tube and the voltage between the cathode and the grid equal to 4.0 V, that is, not enough to for the electrons to excite the Hg atom’s first excited state. Therefore, the electron–Hg atom collisions are elastic.
(a) If the kinetic energy of the electrons is Ek, show that the maximum kinetic energy that a recoiling Hg atom can have is approximately 4mEk /M, where M is the Hg atom mass.
(b) What is the approximate maximum kinetic energy that can be lost by an electron with Ek = 2.5 eV?
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