Electrons are accelerated from rest through a potential difference of before entering…

PHYSICS · Multi-part · A Level · Physics · Particles and radiation · Particles and radiation

Problem

Electrons are accelerated from rest through a potential difference of 54 V54\,\text{V} before entering a crystal with lattice spacing 0.28 nm0.28\,\text{nm}. (Constants: h=6.63×10−34 J⋅sh = 6.63\times10^{-34}\,\text{J}\cdot\text{s}, me=9.11×10−31 kgm_e = 9.11\times10^{-31}\,\text{kg}, elementary charge e=1.60×10−19 Ce = 1.60\times10^{-19}\,\text{C}.) (a) Determine the wavelength of the electrons. (b) State whether first-order diffraction by the crystal planes is likely, and justify your answer briefly.

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