calculate the de Broglie wavelength of electrons accelerated through 50kV. (b) Is the relativistic correction important? 19.2 Electron microscopes can obtain images with much higher resolution than optical microscopes because of the short wavelength obtainable from a beam of electrons. For electrons moving at speeds close to c, the speed of light, the expression for the de Broglie wavelength (eqn 7A.11, 1= h/p) needs to be corrected for relativistic effects: h 2m eAq 1+ 2m.c where c is the speed of light in vacuum and Aø is the potential difference through which the electrons are accelerated. (a) Use the expression above to

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calculate the de Broglie wavelength of electrons accelerated through 50kV.
(b) Is the relativistic correction important?
19.2 Electron microscopes can obtain images with much higher resolution
than optical microscopes because of the short wavelength obtainable from a
beam of electrons. For electrons moving at speeds close to c, the speed of light,
the expression for the de Broglie wavelength (eqn 7A.11, 1= h/p) needs to be
corrected for relativistic effects:
h
2m eAq
1+
2m.c
where c is the speed of light in vacuum and Aø is the potential difference
through which the electrons are accelerated. (a) Use the expression above to
Transcribed Image Text:calculate the de Broglie wavelength of electrons accelerated through 50kV. (b) Is the relativistic correction important? 19.2 Electron microscopes can obtain images with much higher resolution than optical microscopes because of the short wavelength obtainable from a beam of electrons. For electrons moving at speeds close to c, the speed of light, the expression for the de Broglie wavelength (eqn 7A.11, 1= h/p) needs to be corrected for relativistic effects: h 2m eAq 1+ 2m.c where c is the speed of light in vacuum and Aø is the potential difference through which the electrons are accelerated. (a) Use the expression above to
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