Question 2: Deduce the work function for sodium from Fig. Q2. The intersection of the straight line with the horizontal axis is the cutoff frequency, vo=5.8×1014 /sec. For most conducting metals the value of the work function is of the order of a few electron volts. Calculate the photon energy of a typical microwave wavelength of λ = 5 cm. Can this energy sufficient to eject photoelectrons from metal surfaces? Why? Stopping potential (V) 3 2 0 VO 8 12 4 Frequency (1014/sec) Fig. Q2
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- The attatched equation describes the cross section for the photoionization of a hydrogen atom in quantum state n by a photon of wavelength λ. What is the photoionization cross section for a 13.6 eV photon on hydrogen? (Provide an answer in megabarns. A barn is a unit of area commonly used in particle physics that's 10-28 m2).Problem 4: a. For Compton scattering, what photon scattering angle provides the maximum possible kinetic energy to the electron? (Please explain your answer. Hint: What angle 6 makes the wavelength difference as large as possible?) b. In this case where the electron gains the maximum kinetic energy, if the wavelength of the incident photon was 0.004960 nm, what kinetic energy did the electron gain?The following data gives stopping potential Vo versus wavelength for photoelectrons produced from a metal surface. (Be sure to include the correct units and use three significant figures.) Table 1 Vo (nm) (volts) 50 22.3 100 9.29 150 5,20 200 3.09 250 1.84 300 1.04 Use an analysis similar to that used in the inlab procedure to determine the work function (in ev) for this surface. (Use 1 ev = 1,602 x 10-19 J, e- 1.602 x 10-19 C, c = 2.998 x 10 m/s, and h= 6.626 x 10-34 )-s = 4.136 x 10"15 ev -s as necessary.) X ev
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- 2.1. Find the de Broglie wavelength of the following particles: (i) an electron in a semiconductor having average thermal velocity at T = 300 K and an effective mass of me = amo, where a is a constant, (ii) a helium atom having thermal energy at T = 300 K, (iii) an a-particle (He4 nucleus) of kinetic energy 10 MeV.In a photoelectric effect experiment, it is found that no current flows unless the incident light has a wavelength shorter than 359 nm nm. What stopping potential will be needed to halt the current if light of 225 nm falls on the surface? Express your answer with the appropriate units. μA 2.249 V Vo =The work function for aluminum is 4.08 eV. Ultraviolet light of wavelength 156 nm is incident on the clean surface of an aluminum sample.(a). What is the maximum kinetic energy of the ejected photoelectrons?(b). What stopping voltage would be required to arrest the current of photoelectrons?(c). Calculate the cut off frequency of aluminum.