A photon of energy E is scattered by a particle with rest mass energy Ep. Show that the maximum kinetic energy of the recoiling particle is Hhe where B +0.5
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- When you shine a certain source of EM radiation on a sheet of gold (work function W1 = 5.1 eV), the stopping voltage required to bring all the ejected electrons to a halt is V = 3.5 V. If you were to use this same source of EM radiation on a sheet of potassium (work function W2 = 2.3 eV), what would be the maximum speed of ejected electrons?Sunlight is composed of an enormous number of light particles. The 40m 2 sail surface of LightSail 2 receives about 4.0 x 1022 photons each second. What would be the total impulse (magnitude and direction) on the sail in one second? What would be the total impulse (magnitude and direction) on the sail in one day?4. A particle of mass, m, is placed in a 1D-box of length, a, for which it is confined to be within the range 0 < x < a. Just after a measurement of some kind, where the system interacts with a measuring device, the final state of the system is given as (x, t = 0*) = c(e-ic 2(x) + vZe-i83(x) – $4(x)) where (dn} defines a complete set of orthonormal wave functions that solves the TISE, and a = and & = . If many experiments are performed that measure the energy on identically prepared systems, it is possible to quantify the statistical properties of possible outcomes. Answer the following questions. Part (e) is tedious and a bit time consuming. What does this integral o P¿(x) ¢n(x) dx equal to? What is the normalization constant. What is the probability for the particle to be measured in energy state n? What is the predicted average energy from many measurements of energy?
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