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An electron microscope accelerates electrons from rest through a potential difference of 10 kV. The charge...

An electron microscope accelerates electrons from rest through a potential difference of 10 kV. The charge on an electron is -1.60×10-19C and the mass of an electron is 9.11×10-31kg.

(a) If the potential energy of an electron is taken to be 0 initially (at a 0 V plate), what potential energy does it have in Joules after accelerating to the 10 kV plate? (The electrons actually pass through a small hole in this plate before continuing on toward the sample).
(b) What speed does the electron reach by the time it reaches the 10 kV plate?
(c) What wavelength does the electron have when it has accelerated through this potential difference?

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