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  • An electron microscope is designed to study very small objects like viruses, microbes, and the crystal structure of solids. What is the De-Broglie wavelength of the electrons utilized by the micros

An electron microscope is designed to study very small objects like viruses, microbes, and the crystal structure of solids. What is the De-Broglie wavelength of the electrons utilized by the microscope, given that they are accelerated by a potential difference of 500 V?

Option: 1

0.082 \AA


Option: 2

0.123 \AA


Option: 3

0.246 \AA


Option: 4

0.492 \AA


Answers (1)

best_answer

The De-Broglie wavelength of an electron can be calculated using the formula \lambda_{e}= \frac{h}{\sqrt{2m\left ( eV \right )}}= \frac{12.27}{\sqrt{V}} \AA, where h is Planck's constant,  m is the mass of the electron, The symbol e represents the charge of the electron, and V represents the potential difference that the electron is accelerated through.

Substituting the given value of V=500 V, we get \lambda_{e}= \frac{12.27}{\sqrt{500}} \AA \approx 0.123\, \AA.

Therefore, the correct option is (2).

Posted by

avinash.dongre

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