please show all work properly and explain (if you want) for all points. A. The w
ID: 2302243 • Letter: P
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please show all work properly and explain (if you want) for all points.
A. The work function of tungsten is 2.8 eV. (1) Calculate the speed of the fastest electrons ejected from a tungsten surface when light whose photon energy is 5.8 eV shines on the surface. (2 Find the wavelength of the photon. (3) Find the linear momentum of the photon. B. A photon undergoes Compton scattering off a stationary free electron. The photon scatters at 80o from its initial direction, its initial wavelength is 3.0x10 12 m. (1) What is the Compton shift? (2) What is the energy of the outgoing photon? (3) What is the electron's kinetic energy?Explanation / Answer
1 eV = 1.6*10^-19 J
A) Wo = 2.8 eV
E = 5.8 eV
E = Wo + KE
KE = E -Wo = 5.8 - 2.8= 3eV
KE = 0.5*m*V^2 = 3 eV
V = sqrt((2*3*2.6*10^-19)/(9.11*10^-31))
V = 1.31*10^6 m/s
2) E = hc/L
L = hc/E = (6.62*10^-34*3*10^8)/(5.8*1.6*10^-19)
L = 214.01e?9 m = 214.01 nm
3) P = m*V = 9.11*10^-31*214.01e?9 = 194.96e?39 kg m /s
B )
1) shift = (h/mc)*(1-cos phi) = (6.62*10^-34/(9.11*10^-31*3*10^8))*(1-cos80)
shift = 2e?12 = 2*10^-12 m
2) L' = L + shift = 3*10^-12 + 2e?12 = 5*10^-12
E = hc/L' = (6.62*10^-34*3*10^8)/(5*10^-12) = 39.72e?15
3) KE = hc/L - hc/L' = (((6.62*10^-34*3*10^8)/(3*10^-12))-39.72e?15) = 26.48e?15 J
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