Question

1) Consider light in the near-infrared regime with a wavelength $\lambda$ = 1000 nm.

(a) What is the energy of a photon at this wavelength?
(b) Consider an electron that has a kinetic energy that equals the photon energy in part (a). Calculate the electron momentum and compare it to the momentum of the photon from part (a). Is the momentum of the electron larger or smaller than the momentum of the photon?

Hint: You can use non-relativistic equations for the electron. The electron mass is 9.11 ´ 10^-31 kg.

2) Consider the wave function $\Psi$ (x,t)=A(sin n $\pi$ x)e^{-j $\omega$ t} for 0 ≤ x ≤ 1 where n is an integer. Determine A so that $\int_{0}^{1}|\Psi (x,t)|^2 dx = 1$ (Normalization)   

Answer 1

@ Energyz le z 6-626810*** 3x108 2 1.988X20-19 Joude. 1000X10-9 o far electron, Ez muz 2) 62 2x1.988X20-15 v 9. 11x10-31 Pe=mo 26-61X105 ms. 019-41x10-31 x6-61X 109) kg mla 26.018 x 1025 kgmfo 2 momentum of electron mie22. 1988 X10–19 2X1-988 X10-19 V 1-673x10-27 z 15415- 349 min. :- Pp2 (1-673x10-27X 15 415-349) kom is = 2.579 X 10^23 kg m/s zmomentum of proton Imomentum of proton > momentum of dectron

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