(796) Problem 22: Consider electrons incident on a double slit apparatus. You ob
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(796) Problem 22: Consider electrons incident on a double slit apparatus. You observe that they form the same pattern as 475-nm light on the screen behind the slits. 25% Part (a) Calculate the velocity, in meters per second, of the electrons. Grade Summary Deductions Potential 0% 100% cosO cotanO asinO acosO atan0 acotan0 sinh0 cosh tanhcotanhO tan0 T Submissions Attempts remaining:7 (0% per attempt) detailed view Degrees Radians VO Submit Hint I give up! Hints: 2% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. 25% Part (b) Calculate the energy, in joules, of the a photon with this wavelength 25% Part (c) Calculate the kinetic energy, in joules, of the electron. 2596 Part (d) How many times greater is the energy of the photon than the electron?Explanation / Answer
(a) wavelength = h / p
475 x 10^-9 = (6.626 x 10^-34) / (9.109 x 10^-31 v)
v= 1531.4 m/s
(b) E = h c / wavelength
E = (6.626 x 10^-34) (3 x 10^8) / (475 x 10^-9)
E = 4.185 x 10^-19 J
(C) KE = m v^2 /2
= 1.068 x 10^-24 J
(D) ratio = (4.185 x 10^-19) / (1.068 x 10^-24)
= 4 x 10^5
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