Wave Optics and Introduction to Quantum Physics chpt 29 Please put your answers

Question

Wave Optics and Introduction to Quantum Physics chpt 29
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QUESTION 7 What is the maximum possible distance traveled in 40 us by electrons ejected from a material by 86 nm photons, if they are bound to the material by 4.65 ev? QUESTION 8 hat is the longest-wavelength EM radiation in nanometers that can e a photo from a material whose binding energy is 8.25 e V QUESTION 9 What is the maximum energy in kev of photons produced in an CRT using a 29.71 kv accelerating potential, such as a color TV?

Explanation / Answer

7)

use Einsten's photo equation

E = Wo + KE_max

h*c/lamda = Wo + (1/2)*m*vmax^2

6.626*10^-34*3*10^8/(86*10^-9) = 4.65*1.6*10^-19 + (1/2)*9.11*10^-31*vmax^2

==> vmax = 1.86*10^6 m/s

d_max = vmax*t

= 1.86*10^6*40*10^-6

= 74.4 m

8)

use, E = Wo

h*c/lamda_max = Wo

==> lamda_max = h*c/Wo

= 6.626*10^-34*3*10^8/(8.25*1.6*10^-19)

= 151 nm

9)

maximum energy gained = q*delta_V

= e*29.71 kV

= 29.71 keV

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