question_answer 77)

Similar to electron diffraction, neutron diffraction microscope is also used for the determination of the structure of molecules. If the wavelength used here is 800 pm, calculate characteristic velocity associated with neutron.

Answer:

\[\lambda =\frac{h}{m\upsilon }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.......(i)\] \[h=6.626\times {{10}^{-34}}Js\] \[m=1.675\times {{10}^{-27}}kg\] (mass of neutron) \[\lambda =800\times {{10}^{-12}}pm\] Substituting these values in Eqn. (i) \[\upsilon =\frac{h}{\lambda m}\] \[=\frac{6.626\times {{10}^{-34}}}{800\times {{10}^{-12}}1.675\times {{10}^{-27}}}\] \[=494.47m\,{{s}^{-1}}\]